Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze18.0ms (0.7%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

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)

sample1.4s (56.1%)

Memory

-14.9MiB live, 516.8MiB allocated; 85ms collecting garbage

Samples

885.0ms	8 256×	0	valid
11.0ms	281×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 460.0ms

ival-mult!: 391.0ms (85% of total)

ival-expm1: 66.0ms (14.3% of total)

adjust: 1.0ms (0.2% of total)

ival->: 1.0ms (0.2% of total)

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

Bogosity

explain132.0ms (5.3%)

Memory

-0.5MiB live, 105.3MiB allocated; 94ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	1	(-1.3614995669601233e-219 3.8022163837270957e-104)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	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	132	0

Confusion

	Predicted +	Predicted -
+	131	0
-	1	124

Precision

0.9924242424242424

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	1	0	124

Precision?

0.9924242424242424

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-expm1: 71.0ms (90.7% of total)

ival-exp: 4.0ms (5.1% of total)

ival-mult!: 3.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

preprocess30.0ms (1.2%)

Memory

-30.0MiB live, 23.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	81	42
3	219	42
4	977	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

6 → 18

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
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))

Calls

6 calls:

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

rewrite122.0ms (4.9%)

Memory

41.2MiB live, 133.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	321
0	87	321
1	479	321
0	4482	278

Stop Event

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

Counts

24 → 56

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)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))

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

eval12.0ms (0.5%)

Memory: -33.6MiB live, 15.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 729 to 178 computations (75.6% saved)

prune4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
▶	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	60.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
▶	67.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 144 to 106 computations (26.4% saved)

series18.0ms (0.7%)

Memory

-19.9MiB live, 26.8MiB allocated; 2ms collecting garbage

Counts

21 → 72

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

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
#s(approx (* (* (* x x) x) a) #s(hole binary64 (* a (pow x 3))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* 1/6 (* a (pow x 3)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))))

Calls

6 calls:

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

rewrite169.0ms (6.8%)

Memory

6.8MiB live, 193.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	1917
0	296	1763
1	1469	1762
0	8457	1700

Stop Event

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

Counts

93 → 258

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

Outputs
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
x
a
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.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 (* x a)) 1) (*.f64 a x))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 a) x) (.f64 (neg.f64 a) x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 a x) (.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 a (/.f64 #s(literal 1 binary64) a)))) (-.f64 (.f64 a x) (.f64 a (/.f64 #s(literal 1 binary64) a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 a) x) (.f64 (neg.f64 a) x) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) (pow.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 (.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) (pow.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 (.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 a (/.f64 #s(literal 1 binary64) a))) (.f64 (.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 a x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 a a) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 x x) (.f64 #s(literal -1 binary64) (*.f64 a x))))))
(/.f64 (fma.f64 (.f64 a a) (.f64 x x) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a a) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) #s(literal 1 binary64)) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 x x) (.f64 #s(literal -1 binary64) (*.f64 a x)))))
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 a a) (*.f64 x x)) (fma.f64 a x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 a x))) (/.f64 (.f64 (.f64 a a) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))
(-.f64 (.f64 a x) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 (.f64 a x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 a x) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) a))
(-.f64 (.f64 a x) (.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (*.f64 a x) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 x x) (.f64 #s(literal -1 binary64) (.f64 a x))))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 a a) (.f64 x x) (.f64 #s(literal -1 binary64) (*.f64 a x))))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 a)) x))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (.f64 a x) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
(.f64 a (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a))) (-.f64 (.f64 a x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a)))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)) (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)))) (-.f64 (.f64 a x) (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a) #s(literal 3 binary64))) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a)) (.f64 (.f64 a x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x) (pow.f64 (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)) #s(literal 3 binary64))) (fma.f64 (.f64 a a) (.f64 x x) (-.f64 (.f64 (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)) (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))) (.f64 (.f64 a x) (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a))))))
(fma.f64 a x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))
(fma.f64 a x (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a)))
(fma.f64 x a (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))
(fma.f64 x a (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a)))
(-.f64 (.f64 a x) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)) a))
(-.f64 (.f64 a x) (.f64 (neg.f64 a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)))
(+.f64 (.f64 a x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) a))
(+.f64 (.f64 a x) (.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (-.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64))) (-.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x)
(fma.f64 a (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) x)))
(-.f64 x (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) a))
(-.f64 x (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))) (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)))))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a) x)
(+.f64 x (.f64 (neg.f64 (neg.f64 a)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) a) (.f64 (.f64 (.f64 x x) x) a)) #s(literal 1/36 binary64) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) a)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 x x) x) a)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) a)) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 x) (.f64 x #s(literal 1/2 binary64))))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/36 binary64) (.f64 a a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (neg.f64 (.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) a)
(.f64 (.f64 x x) (*.f64 a x))
(.f64 a (.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (*.f64 a x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* (* x x) x) a) (.f64 (.f64 (*.f64 x x) x) a))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 (*.f64 a a) a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 a a) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 a) (.f64 a a)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 a) (.f64 a a)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 x a)) a))) (.f64 a a)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a)))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx x x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 a a) a)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a) (neg.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a a)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 #s(literal -1/6 binary64) (.f64 a a) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x))))

eval35.0ms (1.4%)

Memory: 13.3MiB live, 59.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 354 to 1 299 computations (86.1% saved)

prune8.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	293	1	294
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	294	6	300

Accuracy

100.0%

Counts

300 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	67.1%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a))
✓	67.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 83 to 61 computations (26.5% saved)

series18.0ms (0.7%)

Memory

-19.8MiB live, 26.8MiB allocated; 3ms collecting garbage

Counts

18 → 84

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* 1/2 (* a x)) 1) x) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* 1/2 (* a x)) 1) x) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* 1/2 (* a x)) 1) x) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* 1/2 (* a x)) 1) x) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* 1/2 (* a x)) 1) x) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)

rewrite177.0ms (7.1%)

Memory

37.9MiB live, 224.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	2493
0	415	2391
1	2364	2389
0	8916	2188

Stop Event

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

Counts

102 → 166

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a)
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (+ 1 (* 1/2 (* a x)))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* 1/6 (* (pow a 2) (pow x 3)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* a (+ (* 1/2 x) (/ 1 a)))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* a (- (* -1/2 x) (/ 1 a))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* x (+ (* 1/2 a) (/ 1 x)))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))))
#s(approx (+ (* 1/2 (* a x)) 1) #s(hole binary64 (* -1 (* x (- (* -1/2 a) (/ 1 x))))))

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a))
(.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)) a)
(.f64 a #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x)) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x a))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x a))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x a)))) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x a)))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x a))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 x (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) a)) (.f64 x (.f64 #s(literal 1/2 binary64) a)) (-.f64 (.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) a)) (.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x a)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x a)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))))))
(+.f64 (.f64 x (.f64 #s(literal 1/2 binary64) a)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
#s(literal 1/2 binary64)
(*.f64 x a)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 x a)))
(expm1.f64 (.f64 (log.f64 (exp.f64 (.f64 x a))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(*.f64 (+.f64 a a) x)
(.f64 #s(literal 2 binary64) (.f64 x a))
(.f64 (.f64 x a) #s(literal 2 binary64))
(*.f64 x (+.f64 a a))
(/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 x a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 (.f64 x a) (*.f64 x a)))))
(fma.f64 x a (*.f64 x a))
(fma.f64 a x (*.f64 x a))
(+.f64 (.f64 x a) (.f64 x a))
(*.f64 x a)
(*.f64 a x)
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)) (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 x a))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (*.f64 x a))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) x)
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (* a x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (* x a) (*.f64 x a))
#s(approx a a)
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (*.f64 x a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (.f64 x x) a))) a))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 2/3 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#s(approx (* x a) (*.f64 x a))
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 x a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 2 binary64)))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 (*.f64 a a) a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 (*.f64 a a) a)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 a a) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (.f64 a a)))) (.f64 a a)))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (expm1.f64 (*.f64 x a)))
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* x a)) -1) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) a))) (.f64 (*.f64 a a) a))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) x) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))) (.f64 (.f64 a a) a))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (neg.f64 (/.f64 x a))) a))) (*.f64 a a)))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (neg.f64 (/.f64 x a))) a)))
#s(approx (+ (* 1/2 (* a x)) 1) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)) 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 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (.f64 a a) x))) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 4/3 binary64) (.f64 (.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 4/3 binary64) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) x (.f64 (.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 2 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/6 binary64))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* 1/2 (* a x)) 1) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a))) (.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) a) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 a a) a) (neg.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (neg.f64 (.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a a))) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 a a) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x))) (.f64 (.f64 x x) x))))
#s(approx (+ (* 1/2 (* a x)) 1) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)) x)))

eval29.0ms (1.2%)

Memory: -15.8MiB live, 39.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 291 to 836 computations (86.7% saved)

prune7.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	172	6	178

Accuracy

100.0%

Counts

178 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	67.1%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a))
✓	67.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 83 to 61 computations (26.5% saved)

series7.0ms (0.3%)

Memory

-29.9MiB live, 17.4MiB allocated; 1ms collecting garbage

Counts

10 → 35

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))

Calls

6 calls:

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

rewrite169.0ms (6.8%)

Memory

-1.3MiB live, 229.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	963
0	227	955
1	1390	892
0	8012	824

Stop Event

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

Counts

45 → 92

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
a
x
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
(*.f64 x a)
#s(literal -1 binary64)
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))

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

eval12.0ms (0.5%)

Memory: 24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 636 to 443 computations (83.2% saved)

prune6.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	67.1%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a))
✓	67.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 211 to 115 computations (45.5% saved)

regimes15.0ms (0.6%)

Memory

-15.8MiB live, 31.6MiB allocated; 2ms collecting garbage

Counts

9 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (* (* x x) x) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))

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

Calls

5 calls:

4.0ms	a
3.0ms	x
3.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(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)

regimes7.0ms (0.3%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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

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

Calls

5 calls:

2.0ms	a
2.0ms	x
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
67.8%	1	`(*.f64 a x)`
67.8%	1	`(exp.f64 (*.f64 a x))`
67.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.8%	1	`a`
67.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.3%)

Memory

-36.9MiB live, 16.3MiB allocated; 3ms collecting garbage

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:

4.0ms	(*.f64 a x)
1.0ms	a
1.0ms	x
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.9%	1	`(exp.f64 (*.f64 a x))`
20.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.9%	1	`a`
20.9%	1	`x`
20.9%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations55.0ms (2.2%)

Memory

36.1MiB live, 79.6MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess33.0ms (1.3%)

Memory: -0.5MiB live, 43.2MiB allocated; 8ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 108 to 82 computations (24.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze18.0ms (0.7%)

sample1.4s (56.1%)

explain132.0ms (5.3%)

preprocess30.0ms (1.2%)

series5.0ms (0.2%)

rewrite122.0ms (4.9%)

eval12.0ms (0.5%)

prune4.0ms (0.2%)

series18.0ms (0.7%)

rewrite169.0ms (6.8%)

eval35.0ms (1.4%)

prune8.0ms (0.3%)

series18.0ms (0.7%)

rewrite177.0ms (7.1%)

eval29.0ms (1.2%)

prune7.0ms (0.3%)

series7.0ms (0.3%)

rewrite169.0ms (6.8%)

eval12.0ms (0.5%)

prune6.0ms (0.2%)

regimes15.0ms (0.6%)

regimes7.0ms (0.3%)

regimes8.0ms (0.3%)

derivations55.0ms (2.2%)

preprocess33.0ms (1.3%)

end0.0ms (0%)

Profiling