Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.8%)

Memory

-21.4MiB live, 16.9MiB allocated

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%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample552.0ms (12.4%)

Memory

6.7MiB live, 407.1MiB allocated

Samples

299.0ms	8 256×	0	valid
13.0ms	276×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 64.0ms (44.9% of total)

ival-expm1: 50.0ms (35.1% of total)

ival->: 20.0ms (14% of total)

exact: 6.0ms (4.2% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain59.0ms (1.3%)

Memory

23.9MiB live, 87.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	139	0

Confusion

	Predicted +	Predicted -
+	139	0
-	0	117

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	0	0	117

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	117
1	139

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-mult: 4.0ms (36.1% of total)

ival-exp: 3.0ms (27% of total)

ival-expm1: 3.0ms (27% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess126.0ms (2.8%)

Memory

-19.2MiB live, 81.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	39	36
2	73	36
3	193	36
4	778	36
5	6198	36
0	6	6
0	9	6
1	17	6
2	32	6
3	73	6
4	241	6
5	1878	6
6	5696	6
0	8242	4

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify104.0ms (2.3%)

Memory

5.5MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a x)
cost-diff	0	(exp.f64 (*.f64 a x))
cost-diff	2	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	32	16
3	73	16
4	241	16
5	1878	16
6	5696	16
0	8242	14

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.006191259768442017	(exp.f64 (*.f64 a x))
accuracy	32.26939688819019	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (39.2% of total)

ival-mult: 2.0ms (39.2% of total)

ival-expm1: 1.0ms (19.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify255.0ms (5.7%)

Memory

-2.8MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

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

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

rewrite157.0ms (3.5%)

Memory

-6.7MiB live, 53.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 384

Calls

Call 1

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

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

eval104.0ms (2.3%)

Memory: -10.1MiB live, 35.9MiB allocated
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune8.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	389	6	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	390	6	396

Accuracy

100.0%

Counts

396 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
▶	20.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
▶	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	71.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 208 to 128 computations (38.5% saved)

simplify228.0ms (5.1%)

Memory

7.3MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(.f64 (.f64 a a) x)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
cost-diff	0	(*.f64 x a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
cost-diff	0	#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	(expm1.f64 (*.f64 x a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	161
0	40	155
1	87	155
2	291	155
3	1176	155
4	3131	155
5	6235	155
0	9066	155

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1.2%)

Memory

-4.4MiB live, 58.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.2897669955866715	(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.742111525439873	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
accuracy	3.129910765203366	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
accuracy	18.206071613274844	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
accuracy	0.19907548598037178	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.7219281424275275	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	6.444770632145168	(.f64 (.f64 a a) x)
accuracy	18.7611178432005	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 x a)
accuracy	18.295703708782607	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
accuracy	18.619062878173153	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	32.26939688819019	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.00390625	(expm1.f64 (*.f64 x a))

Samples

40.0ms

256×

valid

Compiler

Compiled 138 to 24 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (60.6% of total)

const: 4.0ms (14.3% of total)

ival-add: 3.0ms (10.7% of total)

ival-expm1: 3.0ms (10.7% of total)

ival-exp: 2.0ms (7.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-14.0MiB live, 17.2MiB allocated

Counts

14 → 63

Calls

Call 1

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

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

Calls

6 calls:

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

simplify182.0ms (4.1%)

Memory

17.4MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	783
1	716	743
2	2926	719
3	7358	719
0	8146	647

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

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

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

rewrite226.0ms (5.1%)

Memory

-12.5MiB live, 214.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
0	40	131
1	163	131
2	1056	131
0	9060	131

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 378

Calls

Call 1

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

Outputs
(.f64 (+.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (/.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 x (/.f64 a #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (sinh.f64 (.f64 a x)) (-.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(*.f64 a x)
(*.f64 x a)
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
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(-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) a) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (.f64 x x)) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))) (.f64 (.f64 x x) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) a) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) a))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) a) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (*.f64 a x)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (*.f64 a x)) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x)))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 a x)) #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 a x)) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 a x)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 a x)) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) (.f64 a x))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (neg.f64 a) x)) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))

eval56.0ms (1.3%)

Memory: 8.9MiB live, 67.0MiB allocated
Compiler: Compiled 16 684 to 1 913 computations (88.5% saved)

prune11.0ms (0.2%)

Memory

-9.4MiB live, 21.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	434	6	440

Accuracy

100.0%

Counts

440 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
✓	20.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
▶	70.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	71.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 104 to 64 computations (38.5% saved)

simplify135.0ms (3%)

Memory

33.8MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
cost-diff	1	(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))))
cost-diff	2	(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 a x) a)
cost-diff	0	(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	212
0	45	212
1	90	206
2	219	206
3	785	206
4	5282	206
0	8531	202

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
(.f64 (.f64 a x) a)
(*.f64 a x)
a
x
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))
(cosh.f64 (*.f64 x a))
(*.f64 x a)
x
a
#s(literal 3 binary64)
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))
(sinh.f64 (*.f64 x a))
#s(literal 1 binary64)
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))))
(pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) a))
(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) a)
(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(.f64 (.f64 a x) a)
(.f64 (.f64 a a) x)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))
(cosh.f64 (*.f64 x a))
(*.f64 x a)
x
a
#s(literal 3 binary64)
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))
(sinh.f64 (*.f64 x a))
#s(literal 1 binary64)
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))
(pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(.f64 (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x a)))

localize146.0ms (3.3%)

Memory

-14.8MiB live, 146.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
accuracy	0.015625	(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))
accuracy	0.16015625	(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
accuracy	32.33143939587931	(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
accuracy	0.0	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
accuracy	0.0	(*.f64 a x)
accuracy	0.078125	(.f64 (.f64 a x) a)
accuracy	0.4113446603819506	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))

Samples

52.0ms	84×	2	valid
51.0ms	93×	1	valid
21.0ms	74×	0	exit
1.0ms	5×	0	valid

Compiler

Compiled 205 to 27 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

adjust: 25.0ms (24.7% of total)

ival-pow: 17.0ms (16.8% of total)

ival-mult: 16.0ms (15.8% of total)

ival-cosh: 12.0ms (11.9% of total)

ival-sub: 10.0ms (9.9% of total)

ival-pow2: 9.0ms (8.9% of total)

ival-add: 6.0ms (5.9% of total)

ival-div: 3.0ms (3% of total)

ival-sinh: 2.0ms (2% of total)

ival-expm1: 2.0ms (2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series101.0ms (2.3%)

Memory

-6.6MiB live, 152.0MiB allocated

Counts

10 → 61

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
(.f64 (.f64 a x) a)
(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 a x)
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))

Outputs
(* 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))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
2
(+ 2 (* a (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x))))))
(+ 2 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
(+ 2 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (* a (- (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
3
(+ 3 (* a (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x))))))
(+ 3 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
(+ 3 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (+ (* a (- (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (pow x 2)))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
(* 1/3 (* a (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))) (* 1/2 (pow x 4))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ 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2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (* x (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* 1/4 (pow a 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))) (- a (* -1 a)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (* 1/2 (pow a 4))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (+ (* 1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))) (+ (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/3 (* (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))
(* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (+ (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (pow a 2))))))))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (+ (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (+ (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* 1/4 (pow a 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))) (- a (* -1 a)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (* 1/2 (pow a 4)))))))))))))))))) (pow a 2))))))))) (* -1 a)))
(- (* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) 1)
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))) (* -1 a))) 1)
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))))) (* -1 a))) 1)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1)))) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (* a x) (pow (- (sinh (* x a)) 1) 3))
14.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1)))) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (* a x) (pow (- (sinh (* x a)) 1) 3))
12.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1)))) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (* a x) (pow (- (sinh (* x a)) 1) 3))
7.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1)))) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (* a x) (pow (- (sinh (* x a)) 1) 3))
6.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1)))) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (* a x) (pow (- (sinh (* x a)) 1) 3))

simplify180.0ms (4%)

Memory

0.9MiB live, 196.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	7098
1	2155	4958
0	8730	4535

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
2
(+ 2 (* a (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x))))))
(+ 2 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
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(+ a (* 1/2 (* (pow a 2) x)))
(+ 2 (* x (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a))))))
(+ 2 (* x (- (+ (* -1 (- a (* -1 a))) (* x (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/2 (- a (* -1 a))))))
(+ 2 (* x (- (+ (* -1 (- a (* -1 a))) (* x (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (- (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (+ (* 1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/2 (- a (* -1 a))))))
(+ 3 (* x (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a))))))
(+ 3 (* x (- (+ (* -1 (- a (* -1 a))) (* x (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/2 (- a (* -1 a))))))
(+ 3 (* x (- (+ (* -1 (- a (* -1 a))) (* x (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (+ (* x (- (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (+ (* 1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (pow a 2)))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/2 (- a (* -1 a))))))
(* 1/3 (* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))
(* x (+ (* 1/3 (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) (* x (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))
(* x (+ (* 1/3 (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) (* x (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* x (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))
(* x (+ (* 1/3 (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) (* x (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* x (- (+ (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (* x (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* 1/4 (pow a 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))) (- a (* -1 a)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (* 1/2 (pow a 4))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (+ (* 1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))) (+ (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/3 (* (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))))) (+ (* 1/9 (* (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)) (- (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (pow a 2))) (+ (* -1/2 (pow a 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))) (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))
(* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (+ (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))) (pow a 2))))))))) (* -1 a)))
(* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (+ (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (+ (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* x (+ (* -1 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* 1/4 (pow a 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))) (- a (* -1 a)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))) (* 1/2 (pow a 4)))))))))))))))))) (pow a 2))))))))) (* -1 a)))
(- (* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) 1)
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))) (* -1 a))) 1)
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))))) (* -1 a))) 1)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a)
(* (pow a 2) x)
(.f64 (.f64 a a) x)
2
#s(literal 2 binary64)
(+ 2 (* a (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -3/2 binary64)) a #s(literal 2 binary64))
(+ 2 (* a (- (+ (* -1 (- x (* -1 x))) (* a (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/2 (- x (* -1 x))))))
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3
#s(literal 3 binary64)
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(* 1/3 (* a (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))
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(.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) a)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) a) (fma.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) a)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 2 binary64) a) (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) a)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (.f64 #s(literal 2 binary64) a) (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) a)) (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/2 binary64)))) (pow.f64 a #s(literal 4 binary64)))) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64)))))) x (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))) x (.f64 #s(literal 3/2 binary64) (.f64 a a)))) x (fma.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) a)) a) x)
(- (* x (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) 1)
(-.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x) #s(literal 1 binary64))
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))) (* -1 a))) 1)
(-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))) x (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) a)) a) x) #s(literal 1 binary64))
(- (* x (- (+ a (+ (* 1/2 (- a (* -1 a))) (* x (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))))) (* -1 a))) 1)
(-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) a)) #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) a) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) a)) #s(literal 1/2 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))) x (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))) x (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) a)) a) x) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) (/.f64 (neg.f64 a) x)))

rewrite200.0ms (4.5%)

Memory

15.0MiB live, 200.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
0	45	156
1	189	115
2	1402	115
0	9093	110

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

10 → 618

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
(.f64 (.f64 a x) a)
(-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))
(+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 a x)
(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) a a) x))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) a a) x)
(.f64 x (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) a a))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) #s(literal 3 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) (-.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) (.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) #s(literal 3 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) (-.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) (.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x)) (.f64 (.f64 x a) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) a) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)) (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a))) (.f64 (.f64 x a) (.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) a))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) #s(literal 2 binary64)) (.f64 a a)) x)) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) a)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) #s(literal 2 binary64)) (.f64 a a)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) a)))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) #s(literal 2 binary64)) (.f64 a a)) x) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) a))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) #s(literal 2 binary64)) (.f64 a a))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) a))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) x (.f64 x a))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) a) (.f64 x a))
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(pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (cosh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 6 binary64)))
(fabs.f64 (pow.f64 (neg.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(fabs.f64 (pow.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3/2 binary64) (.f64 (log.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) #s(literal 3 binary64)))

eval142.0ms (3.2%)

Memory: -5.5MiB live, 219.3MiB allocated
Compiler: Compiled 53 589 to 3 173 computations (94.1% saved)

prune11.0ms (0.2%)

Memory

2.2MiB live, 33.9MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	675	3	678
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	676	8	684

Accuracy

100.0%

Counts

684 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
✓	20.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	71.0%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
▶	71.1%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
✓	70.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	71.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 205 to 113 computations (44.9% saved)

simplify144.0ms (3.2%)

Memory

4.7MiB live, 95.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))
cost-diff	1	(.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
cost-diff	4	(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff	13	(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
cost-diff	0	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
cost-diff	4	(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
cost-diff	5	(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
cost-diff	0	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
cost-diff	4	(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
cost-diff	5	(fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	302
0	65	311
1	150	278
2	500	224
3	2457	222
0	8598	217

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
(fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(literal 1/2 binary64)
x
#s(literal 1/3 binary64)
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
a
#s(literal 1/3 binary64)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x a))
(*.f64 x a)
x
a
(+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))
(sinh.f64 (*.f64 x a))
#s(literal 1 binary64)
(.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))

Outputs
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (*.f64 a x))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
(*.f64 a x)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
(.f64 (.f64 #s(literal 3 binary64) a) x)
(fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 3 binary64) a)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
#s(literal 1/2 binary64)
x
#s(literal 1/3 binary64)
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (*.f64 a x))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
(*.f64 a x)
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
(.f64 (.f64 #s(literal 3 binary64) a) x)
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
a
#s(literal 1/3 binary64)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 (.f64 a x)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (.f64 a x))) (fma.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 x a))
(cosh.f64 (*.f64 a x))
(*.f64 x a)
(*.f64 a x)
x
a
(+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))
(+.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))
(sinh.f64 (*.f64 x a))
(sinh.f64 (*.f64 a x))
#s(literal 1 binary64)
(.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
(pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(fma.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64) #s(literal 2 binary64))

localize190.0ms (4.3%)

Memory

5.3MiB live, 139.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(sinh.f64 (*.f64 x a))
accuracy	0.01171875	(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
accuracy	0.150722509768442	(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
accuracy	32.34808927658173	(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.19140625	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
accuracy	0.21484375	(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
accuracy	0.6615206393380137	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) a)
accuracy	0.14453125	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
accuracy	0.21484375	(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
accuracy	0.6615206393380137	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))

Samples

69.0ms	83×	2	valid
52.0ms	94×	1	valid
23.0ms	74×	0	exit
1.0ms	5×	0	valid

Compiler

Compiled 286 to 41 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 28.0ms (23.8% of total)

adjust: 18.0ms (15.3% of total)

ival-pow: 18.0ms (15.3% of total)

ival-pow2: 13.0ms (11% of total)

ival-cosh: 11.0ms (9.3% of total)

ival-add: 10.0ms (8.5% of total)

ival-sub: 7.0ms (5.9% of total)

ival-div: 6.0ms (5.1% of total)

const: 4.0ms (3.4% of total)

ival-sinh: 2.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series54.0ms (1.2%)

Memory

0.2MiB live, 30.4MiB allocated

Counts

16 → 67

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
(sinh.f64 (*.f64 x a))

Outputs
(* 3 a)
(* a x)
(* 1/3 (* a (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1 (+ (* -1 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))) (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* 1/4 (pow x 4)) (+ (* 1/2 (* (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))) (- x (* -1 x)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))) (* 1/2 (pow x 4))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))))) (+ (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))))) (* 1/3 (* (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* 3 (* a x))
(* 1/3 (* a (+ x (* 2 x))))
(* a (+ x (* 2 x)))
(* 1/2 (* a (- x (* -1 x))))
(* a (+ (* 1/2 (- x (* -1 x))) (* a (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))))
(* a (+ (* 1/2 (- x (* -1 x))) (* a (+ (* 1/2 (* a (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))) (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x))))))) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))))
(* a (+ (* 1/2 (- x (* -1 x))) (* a (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (* a (+ (* 1/2 (* a (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))) (+ (* -1/4 (* (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (- x (* -1 x)))) (+ (* 1/4 (* (pow x 2) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* 1/2 (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4))))))))))) (* 2 (+ (* 1/4 (pow (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) 2)) (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) (+ (* 1/2 (* (- x (* -1 x)) (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))) (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x))))))) (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))))) (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x)))))))))))))
(* a (- x (* -1 x)))
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(* 1/2 (* x (- a (* -1 a))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (* x (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a))))))) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/2 (* x (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1/4 (* (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))) (- a (* -1 a)))) (+ (* 1/4 (* (pow a 2) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))))))) (* 2 (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* 1/2 (* (- a (* -1 a)) (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a))))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a)))))))))))))
(* x (- a (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))))))) (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (+ (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))) (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))))) (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (+ (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))) (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (+ (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1/4 (* (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))) (- a (* -1 a)))) (+ (* 1/4 (* (pow a 2) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))))))) (* 2 (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))) (* -1 a)))
(+ 2 (* x (- a (* -1 a))))
(+ 2 (* x (- (+ a (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(+ 2 (* x (- (+ a (* x (- (+ (* 1/2 (pow a 2)) (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))))) (pow a 2))))
(+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4)))))) (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))))) (pow a 2))))
(* 2 x)
(* 1/4 (* (pow x 2) (pow (- a (* -1 a)) 2)))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* 1/2 (* x (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (* (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- a (* -1 a)))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	((+ (* (* 2 a) 1/2) (* 2 a)) (* (* (+ (* (* 2 a) 1/2) (* 2 a)) x) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 a) 1/2) (* 2 a)) x) (+ (* (* 2 x) 1/2) (* 2 x)) (* (* (+ (* (* 2 x) 1/2) (* 2 x)) a) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 x) 1/2) (* 2 x)) a) (/ (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1))) (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1)) (* 2 (cosh (* x a))) (* 2 a) (* 2 x) (pow (sinh (* x a)) 2) (sinh (* x a)))
9.0ms	x	@	inf	((+ (* (* 2 a) 1/2) (* 2 a)) (* (* (+ (* (* 2 a) 1/2) (* 2 a)) x) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 a) 1/2) (* 2 a)) x) (+ (* (* 2 x) 1/2) (* 2 x)) (* (* (+ (* (* 2 x) 1/2) (* 2 x)) a) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 x) 1/2) (* 2 x)) a) (/ (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1))) (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1)) (* 2 (cosh (* x a))) (* 2 a) (* 2 x) (pow (sinh (* x a)) 2) (sinh (* x a)))
8.0ms	a	@	0	((+ (* (* 2 a) 1/2) (* 2 a)) (* (* (+ (* (* 2 a) 1/2) (* 2 a)) x) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 a) 1/2) (* 2 a)) x) (+ (* (* 2 x) 1/2) (* 2 x)) (* (* (+ (* (* 2 x) 1/2) (* 2 x)) a) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 x) 1/2) (* 2 x)) a) (/ (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1))) (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1)) (* 2 (cosh (* x a))) (* 2 a) (* 2 x) (pow (sinh (* x a)) 2) (sinh (* x a)))
8.0ms	x	@	0	((+ (* (* 2 a) 1/2) (* 2 a)) (* (* (+ (* (* 2 a) 1/2) (* 2 a)) x) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 a) 1/2) (* 2 a)) x) (+ (* (* 2 x) 1/2) (* 2 x)) (* (* (+ (* (* 2 x) 1/2) (* 2 x)) a) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 x) 1/2) (* 2 x)) a) (/ (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1))) (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1)) (* 2 (cosh (* x a))) (* 2 a) (* 2 x) (pow (sinh (* x a)) 2) (sinh (* x a)))
7.0ms	a	@	-inf	((+ (* (* 2 a) 1/2) (* 2 a)) (* (* (+ (* (* 2 a) 1/2) (* 2 a)) x) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 a) 1/2) (* 2 a)) x) (+ (* (* 2 x) 1/2) (* 2 x)) (* (* (+ (* (* 2 x) 1/2) (* 2 x)) a) 1/3) (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (* (+ (* (* 2 x) 1/2) (* 2 x)) a) (/ (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1))) (+ (* (* 2 (cosh (* x a))) (+ (sinh (* x a)) 1)) (* 2 (- (pow (sinh (* x a)) 2) 1))) (* 2 (+ (sinh (* x a)) 1)) (* 2 (cosh (* x a))) (* 2 a) (* 2 x) (pow (sinh (* x a)) 2) (sinh (* x a)))

simplify175.0ms (3.9%)

Memory

-12.8MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	7236
1	2590	5208
0	9516	4765

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

Inputs
(* 3 a)
(* a x)
(* 1/3 (* a (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
(* a (+ (* 1/3 (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))) (* a (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* a (- (* 1/3 (+ (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (* 1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))))) (+ (* -1/2 (* (- x (* -1 x)) (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2))) (- x (* -1 x)))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))))))))) (+ (* 1/9 (* (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x)) (- (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/4 (pow (- x (* -1 x)) 2)) (pow x 2))) (+ (* -1/2 (pow x 2)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))))))) (* 1/3 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/4 (pow (- x (* -1 x)) 2)))) (+ (* -1/2 (pow (- x (* -1 x)) 2)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* 1/2 (pow x 2)) (pow x 2)))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))))) (* 1/9 (* (- (* -1 (- x (* -1 x))) (* 1/2 (- x (* -1 x)))) (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))))))
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2
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(* 2 a)
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(* x (+ (* 1/3 (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))) (* x (- (+ (* 1/3 (+ (* -1 (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2)))) (+ (* -1/2 (pow (- a (* -1 a)) 2)) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* x (- (+ (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/4 (pow (- a (* -1 a)) 2))) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 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(* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (+ (* 1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))) (+ (* 1/3 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (* 1/3 (+ (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* -1 (+ (* -1 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))) (+ (* -1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/2 (* (+ (* -1 (- (* 1/2 (pow a 2)) 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2)))) (+ (* 1/2 (pow a 2)) (pow a 2)))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))))) (* 1/9 (* (- (* -1 (- a (* -1 a))) (* 1/2 (- a (* -1 a)))) (- (+ a (* 1/2 (- a (* -1 a)))) (* -1 a))))))))
(* x (+ a (* 2 a)))
(* 3 x)
(* 1/2 (* x (- a (* -1 a))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (* x (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a))))))) (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* 1/2 (pow a 2)) (* x (+ (* 1/2 (* x (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1/4 (* (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))) (- a (* -1 a)))) (+ (* 1/4 (* (pow a 2) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))))))) (* 2 (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* 1/2 (* (- a (* -1 a)) (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a))))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))) (- a (* -1 a)))))))))))))
(* x (- a (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2))))))) (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (+ (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))) (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))))))))) (* -1 a)))
(* x (- (+ a (* x (+ (* 1/2 (pow (- a (* -1 a)) 2)) (+ (* 2 (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* 1/2 (pow a 2)))) (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* -1 a)))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))) (+ (* x (+ (* 2 (+ (* -1/2 (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4))))) (+ (* -1/4 (* (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))) (- a (* -1 a)))) (+ (* 1/4 (* (pow a 2) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4))))))))))) (* 2 (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))) (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))) (* -1 a)))
(+ 2 (* x (- a (* -1 a))))
(+ 2 (* x (- (+ a (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(+ 2 (* x (- (+ a (* x (- (+ (* 1/2 (pow a 2)) (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))))) (pow a 2))))
(+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4)))))) (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))))) (pow a 2))))
(* 2 x)
(* 1/4 (* (pow x 2) (pow (- a (* -1 a)) 2)))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* 1/2 (* x (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (* (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))))))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- a (* -1 a)))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))))

Outputs
(* 3 a)
(*.f64 #s(literal 3 binary64) a)
(* a x)
(*.f64 x a)
(* 1/3 (* a (- (+ x (* 1/2 (- x (* -1 x)))) (* -1 x))))
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(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) a) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) a)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/6 binary64)))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64))))) x (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 #s(literal 2 binary64) a)))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64)))) x (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (.f64 a a) #s(literal 1 binary64) #s(literal 0 binary64)))) x (.f64 #s(literal 2 binary64) a)) x)
(+ 2 (* x (- a (* -1 a))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) a #s(literal 2 binary64))
(+ 2 (* x (- (+ a (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 2 binary64) a)) x #s(literal 2 binary64))
(+ 2 (* x (- (+ a (* x (- (+ (* 1/2 (pow a 2)) (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* -1 a))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) x (.f64 (.f64 a a) #s(literal -1/2 binary64)))) x (.f64 #s(literal 2 binary64) a)) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3))))) (pow a 2))))
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64))) (.f64 a a)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/6 (pow a 4)))))) (* -1 (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1/2 (pow a 3)))))) (pow a 2))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/6 binary64)))) x (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/2 binary64))))) x (.f64 a a)) (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/4 (* (pow x 2) (pow (- a (* -1 a)) 2)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* 1/2 (* x (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(.f64 (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) a) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) x (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64)) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* 1/4 (pow (- a (* -1 a)) 2)) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* x (+ (* 1/4 (pow (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))) 2)) (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* x (+ (* 1/2 (* (- a (* -1 a)) (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (* (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))) (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) a)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) a) (.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)))) x (fma.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) x (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64)) #s(literal 1/2 binary64))) x (.f64 (pow.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 x x))
(* x (+ (* 1/2 (* x (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))) (* 1/2 (- a (* -1 a)))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 2 binary64) a))) x)
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (* x (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))) (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 0 binary64)) x (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64))) x)
(* x (+ (* 1/2 (- a (* -1 a))) (* x (+ (* 1/2 (- (* 1/2 (pow a 2)) (+ (* -1/2 (pow a 2)) (pow a 2)))) (* x (+ (* 1/2 (* x (- (* 1/24 (pow a 4)) (+ (* -1 (* a (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3)))))) (+ (* -1/2 (* (pow a 2) (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/24 (pow a 4)) (* 1/6 (pow a 4)))))))) (* 1/2 (- (* 1/6 (pow a 3)) (+ (* -1 (* a (+ (* -1/2 (pow a 2)) (pow a 2)))) (+ (* -1/6 (pow a 3)) (* 1/2 (pow a 3))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))) a)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/8 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/2 binary64))))) x (-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))))) x #s(literal 0 binary64)) x (.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64))) x)

rewrite186.0ms (4.2%)

Memory

19.2MiB live, 85.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	257
0	65	257
1	282	132
2	2398	132
0	9416	124

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 385

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) a)) x)
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) a)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))
(*.f64 #s(literal 2 binary64) a)
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
(sinh.f64 (*.f64 x a))

Outputs
(.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) a a))
(.f64 #s(literal 2 binary64) (+.f64 a (.f64 #s(literal 1/2 binary64) a)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a))) (.f64 (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a)) (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal -2 binary64) a))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (-.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64))) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 a a) #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -2 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 (.f64 a a) #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64) (.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))
(fma.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 a #s(literal 2 binary64)))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) a) (.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 1 binary64) a))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a))) (/.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a))))
(-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (neg.f64 a) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) a))
(-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal 2 binary64))))
(-.f64 (.f64 a #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 a #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) a)))
(+.f64 (fma.f64 #s(literal 1 binary64) a a) a)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a))))) (/.f64 (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a))))))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 a #s(literal 2 binary64)))
(+.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a))
(+.f64 a (+.f64 a (*.f64 #s(literal 1 binary64) a)))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))) x)
(.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))))
(.f64 (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(.f64 x (.f64 (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) x))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) x)) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64))))))
(.f64 x (.f64 #s(literal 3/2 binary64) (*.f64 a #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 3/2 binary64) (*.f64 a #s(literal 2 binary64))) x)
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64))) x) (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64))) x) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) a)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (pow.f64 (.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) a (.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 x (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)))) (fma.f64 (.f64 a a) #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) a)))))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (*.f64 a #s(literal 2 binary64)) x))
(fma.f64 x (.f64 #s(literal 1 binary64) a) (.f64 x (*.f64 a #s(literal 2 binary64))))
(fma.f64 x (.f64 a #s(literal 2 binary64)) (.f64 x (*.f64 #s(literal 1 binary64) a)))
(fma.f64 (.f64 a #s(literal 2 binary64)) x (.f64 (*.f64 #s(literal 1 binary64) a) x))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) a) x) (.f64 (.f64 a #s(literal 2 binary64)) x))
(+.f64 (.f64 (.f64 a #s(literal 2 binary64)) x) (.f64 (.f64 #s(literal 1 binary64) a) x))
(+.f64 (.f64 x (.f64 #s(literal 1 binary64) a)) (.f64 x (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 x (.f64 a #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1 binary64) a)))
(.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) x))
(.f64 #s(literal 2 binary64) (+.f64 x (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x))) (.f64 (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x))) (/.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x))))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x x) x)
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x))))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x))
(+.f64 x (+.f64 x (*.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64)))) a)
(.f64 (.f64 #s(literal 1/3 binary64) a) (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) a) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) a))
(.f64 #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) a))
(.f64 a (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) a)) (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) a)) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) a) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 3/2 binary64) (*.f64 x #s(literal 2 binary64))) a)
(.f64 a (.f64 #s(literal 3/2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) a) (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) a) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 a (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1 binary64) x (.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 a (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 (*.f64 x #s(literal 2 binary64)) a))
(fma.f64 (.f64 x #s(literal 2 binary64)) a (.f64 (*.f64 #s(literal 1 binary64) x) a))
(fma.f64 a (.f64 #s(literal 1 binary64) x) (.f64 a (*.f64 x #s(literal 2 binary64))))
(fma.f64 a (.f64 x #s(literal 2 binary64)) (.f64 a (*.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) x) a) (.f64 (.f64 x #s(literal 2 binary64)) a))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) a) (.f64 (.f64 #s(literal 1 binary64) x) a))
(+.f64 (.f64 a (.f64 #s(literal 1 binary64) x)) (.f64 a (.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 2 binary64))) (.f64 a (.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x a))))))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)))) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)))) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 4 binary64))))
(.f64 (fma.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 x a)) (fma.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (-.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64)) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64)) (cosh.f64 (.f64 x a)))) (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 #s(literal -2 binary64) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))) (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a))) (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))) (.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (fma.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64))))
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(/.f64 (fma.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cosh.f64 (.f64 x a)))) (neg.f64 (sqrt.f64 (cosh.f64 (.f64 x a)))) (cosh.f64 (*.f64 x a)))
(fma.f64 (fabs.f64 (sqrt.f64 (cosh.f64 (.f64 x a)))) (fabs.f64 (sqrt.f64 (cosh.f64 (.f64 x a)))) (cosh.f64 (*.f64 x a)))
(fma.f64 (pow.f64 (sqrt.f64 (cosh.f64 (.f64 x a))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cosh.f64 (.f64 x a))) #s(literal 1 binary64)) (cosh.f64 (*.f64 x a)))
(fma.f64 (sqrt.f64 (cosh.f64 (.f64 x a))) (sqrt.f64 (cosh.f64 (.f64 x a))) (cosh.f64 (*.f64 x a)))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
(fma.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64) (cosh.f64 (.f64 x a)))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (cosh.f64 (.f64 x a)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (cosh.f64 (.f64 x a)))
(+.f64 (.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))))
(+.f64 (exp.f64 (neg.f64 (.f64 (neg.f64 x) a))) (exp.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) a)))))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))))
(+.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (pow.f64 (exp.f64 x) a))
(+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (neg.f64 a)))
(+.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(/.f64 (-.f64 (.f64 a a) (.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(+.f64 a a)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(+.f64 x x)
(.f64 (neg.f64 (sinh.f64 (.f64 (neg.f64 x) a))) (neg.f64 (sinh.f64 (*.f64 (neg.f64 x) a))))
(.f64 (pow.f64 (sinh.f64 (.f64 (neg.f64 x) a)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)))
(.f64 (sinh.f64 (.f64 (neg.f64 x) a)) (sinh.f64 (*.f64 (neg.f64 x) a)))
(.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (*.f64 x a)))
(.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 (*.f64 x a))))
(pow.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (sinh.f64 (.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (sinh.f64 (.f64 x a)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (sinh.f64 (.f64 x a))) #s(literal 2 binary64))
(/.f64 (.f64 (sinh.f64 (.f64 x a)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sinh.f64 (.f64 x a))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sinh.f64 (.f64 x a))) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sinh.f64 (.f64 x a))) #s(literal 2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (sinh.f64 (.f64 x a)))) (neg.f64 (sqrt.f64 (sinh.f64 (*.f64 x a)))))
(.f64 (fabs.f64 (sqrt.f64 (sinh.f64 (.f64 x a)))) (fabs.f64 (sqrt.f64 (sinh.f64 (*.f64 x a)))))
(.f64 (pow.f64 (sqrt.f64 (sinh.f64 (.f64 x a))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sinh.f64 (*.f64 x a))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sinh.f64 (.f64 x a))) (sqrt.f64 (sinh.f64 (*.f64 x a))))
(.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a)))
(pow.f64 (sqrt.f64 (sinh.f64 (*.f64 x a))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 x) (neg.f64 a)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (neg.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (*.f64 x a))
(sqrt.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64))))
(fabs.f64 (sinh.f64 (*.f64 (neg.f64 x) a)))
(fabs.f64 (sinh.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (log.f64 (sinh.f64 (.f64 x a)))) (sinh.f64 (log.f64 (sinh.f64 (.f64 x a)))))
(exp.f64 (log.f64 (sinh.f64 (*.f64 x a))))

eval71.0ms (1.6%)

Memory: 2.2MiB live, 61.4MiB allocated
Compiler: Compiled 30 050 to 2 431 computations (91.9% saved)

prune20.0ms (0.4%)

Memory

-0.3MiB live, 29.6MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	515	8	523
Fresh	0	0	0
Picked	3	0	3
Done	0	5	5
Total	518	13	531

Accuracy

100.0%

Counts

531 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64)))
✓	20.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	71.1%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) a (.f64 (.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
	71.1%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) a) (.f64 (*.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
	71.0%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 x) 1/2) (* 2 x)) (*.f64 #s(literal 3 binary64) x)) a) #s(literal 1/3 binary64)))
	71.1%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 a) 1/2) (* 2 a)) (*.f64 #s(literal 3 binary64) a)) x) #s(literal 1/3 binary64)))
	71.1%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) a)))
	71.2%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64)))) a))
	71.2%	#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))) x))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
✓	70.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	71.4%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 1 178 to 375 computations (68.2% saved)

regimes25.0ms (0.6%)

Memory

-21.1MiB live, 17.9MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 a) 1/2) (* 2 a)) (*.f64 #s(literal 3 binary64) a)) x) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 x) 1/2) (* 2 x)) (*.f64 #s(literal 3 binary64) x)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))) x))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64)))) a))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) a (.f64 (.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) a) (.f64 (*.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (.f64 x a)) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) (+.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes18.0ms (0.4%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 a) 1/2) (* 2 a)) (*.f64 #s(literal 3 binary64) a)) x) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(approx (+ (* (* 2 x) 1/2) (* 2 x)) (*.f64 #s(literal 3 binary64) x)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64)))) x))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64)))) a))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) a)) x) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) a) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) a (.f64 (.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
#s(approx (/ (+ (pow (cosh (* x a)) 3) (pow (- (sinh (* x a)) 1) 3)) (+ (pow (cosh (* x a)) 2) (- (pow (- (sinh (* x a)) 1) 2) (* (cosh (* x a)) (- (sinh (* x a)) 1))))) (.f64 (+.f64 (.f64 (.f64 x #s(literal 2 binary64)) a) (.f64 (*.f64 #s(literal 1 binary64) x) a)) #s(literal 1/3 binary64)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

5 calls:

4.0ms	a
4.0ms	x
3.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
71.4%	1	`(*.f64 a x)`
71.4%	1	`(exp.f64 (*.f64 a x))`
71.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.4%	1	`a`
71.4%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

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

Calls

5 calls:

1.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.1%	1	`a`
20.1%	1	`(*.f64 a x)`
20.1%	1	`(exp.f64 (*.f64 a x))`
20.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.1%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify40.0ms (0.9%)

Memory

-13.6MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	40	22
3	83	22
4	253	22
5	1975	22
6	5094	22

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness389.0ms (8.8%)

Memory

-11.4MiB live, 49.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

Stop Event

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

preprocess25.0ms (0.6%)

Memory: 21.6MiB live, 21.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze33.0ms (0.8%)

sample552.0ms (12.4%)

explain59.0ms (1.3%)

preprocess126.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify104.0ms (2.3%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

simplify255.0ms (5.7%)

rewrite157.0ms (3.5%)

eval104.0ms (2.3%)

prune8.0ms (0.2%)

simplify228.0ms (5.1%)

localize54.0ms (1.2%)

series15.0ms (0.3%)

simplify182.0ms (4.1%)

rewrite226.0ms (5.1%)

eval56.0ms (1.3%)

prune11.0ms (0.2%)

simplify135.0ms (3%)

localize146.0ms (3.3%)

series101.0ms (2.3%)

simplify180.0ms (4%)

rewrite200.0ms (4.5%)

eval142.0ms (3.2%)

prune11.0ms (0.2%)

simplify144.0ms (3.2%)

localize190.0ms (4.3%)

series54.0ms (1.2%)

simplify175.0ms (3.9%)

rewrite186.0ms (4.2%)

eval71.0ms (1.6%)

prune20.0ms (0.4%)

regimes25.0ms (0.6%)

regimes18.0ms (0.4%)

regimes5.0ms (0.1%)

simplify40.0ms (0.9%)

soundness389.0ms (8.8%)

preprocess25.0ms (0.6%)

end0.0ms (0%)

Profiling