Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze29.0ms (1.5%)

Memory

-15.2MiB live, 27.3MiB allocated; 13ms 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)

sample567.0ms (28.7%)

Memory

20.5MiB live, 774.4MiB allocated; 136ms collecting garbage

Samples

370.0ms	8 256×	0	valid
12.0ms	298×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-expm1: 65.0ms (50% of total)

ival-mult!: 61.0ms (46.9% of total)

adjust: 2.0ms (1.5% of total)

ival->: 1.0ms (0.8% of total)

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

Bogosity

explain99.0ms (5%)

Memory

-26.4MiB live, 117.6MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
133	1	(-4.0477040805108773e-25 1.0336493279424164e-299)	0	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	0	-	1	(3.8892986752375943e-200 -8.919439053004682e+200)	`(exp.f64 (*.f64 a x))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a x)`
0	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	134	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	134	0
-	1	121

Precision

0.9925925925925926

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	1	2	119

Precision?

0.9781021897810219

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (40.1% of total)

ival-expm1: 3.0ms (30% of total)

ival-mult!: 3.0ms (30% of total)

adjust: 0.0ms (0% of total)

preprocess22.0ms (1.1%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms 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
▶	53.2%	(-.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

8.2MiB live, 8.2MiB 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)

rewrite153.0ms (7.8%)

Memory

6.1MiB live, 195.3MiB allocated; 31ms 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)

eval7.0ms (0.3%)

Memory: -31.2MiB live, 15.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 693 to 175 computations (74.7% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Accuracy

100.0%

Counts

49 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
	53.3%	(-.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))))
✓	53.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	19.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	17.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
▶	60.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	65.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 176 to 130 computations (26.1% saved)

series13.0ms (0.7%)

Memory

-19.0MiB live, 27.2MiB allocated; 4ms collecting garbage

Counts

17 → 48

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite237.0ms (12%)

Memory

43.1MiB live, 234.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	920
0	180	874
1	860	866
0	7046	835

Stop Event

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

Counts

65 → 307

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

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

eval141.0ms (7.1%)

Memory: -69.3MiB live, 65.7MiB allocated; 97ms collecting garbage
Compiler: Compiled 6 416 to 1 060 computations (83.5% saved)

prune8.0ms (0.4%)

Memory

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

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	281	8	289

Accuracy

100.0%

Counts

289 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(-.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))))
✓	53.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	61.1%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))))
✓	60.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	65.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 97 to 71 computations (26.8% saved)

series43.0ms (2.2%)

Memory

-14.6MiB live, 32.4MiB allocated; 2ms collecting garbage

Counts

20 → 66

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))))
(fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a)))
x
a
(.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(.f64 (.f64 x x) a)
(*.f64 x x)
(-.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 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(exp.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)
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
#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 a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (* 1/2 a) (* (* x x) a)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (/ 1 (+ 1 (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 (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 a) (* (* x x) a))) x a (* (* 1/2 a) (* (* x x) a)) (* 1/2 a) 1/2 (* (* x x) a) (* x x) (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1)
7.0ms	x	@	0	((- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 a) (* (* x x) a))) x a (* (* 1/2 a) (* (* x x) a)) (* 1/2 a) 1/2 (* (* x x) a) (* x x) (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1)
5.0ms	a	@	0	((- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 a) (* (* x x) a))) x a (* (* 1/2 a) (* (* x x) a)) (* 1/2 a) 1/2 (* (* x x) a) (* x x) (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1)
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 a) (* (* x x) a))) x a (* (* 1/2 a) (* (* x x) a)) (* 1/2 a) 1/2 (* (* x x) a) (* x x) (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1)
3.0ms	a	@	inf	((- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 a) (* (* x x) a))) x a (* (* 1/2 a) (* (* x x) a)) (* 1/2 a) 1/2 (* (* x x) a) (* x x) (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1)

rewrite174.0ms (8.8%)

Memory

35.4MiB live, 262.9MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	2420
0	427	2169
1	2797	2169
0	8185	1995

Stop Event

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

Counts

86 → 183

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))))
(fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a)))
x
a
(.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
(.f64 (.f64 x x) a)
(*.f64 x x)
(-.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 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(exp.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)
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
#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 a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx a #s(hole binary64 a))
#s(approx (* (* 1/2 a) (* (* x x) a)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* 1/2 a) #s(hole binary64 (* 1/2 a)))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (/ 1 (+ 1 (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 (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(.f64 a (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
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x
a
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#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x))) a x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (fma.f64 a (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) (.f64 x x))) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64))) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))))))) a))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) a (.f64 x x)) (.f64 (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) a))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (exp (* (* x a) 2)) #s(literal 1 binary64))
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#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 (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x a) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) a)) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64))) a)) (.f64 (.f64 x x) #s(literal 0 binary64))) a (.f64 #s(literal -1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (*.f64 a a)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (expm1.f64 (*.f64 x a)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 x a)) #s(literal 1 binary64))))
#s(approx (exp (* (* x a) 2)) (exp.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 (/ 1 (- (exp (* x a)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))))
#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 a) (* (* 1/2 a) (* (* x x) a))) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 a a) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a))) x a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 a a) (fma.f64 x (-.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) a) #s(literal 1/2 binary64)))) (.f64 a a))) (.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64))) a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 a a) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 a a) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64))) a) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 0 binary64)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 a a) a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) a) #s(literal 1/2 binary64))))))))) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) a) #s(literal 1/2 binary64)))) x (.f64 a a)) (.f64 (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64)))) x a) x))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) x a) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) a) #s(literal 1/2 binary64))))) (.f64 a a)) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 a a)))) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#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 (/ 1 (- (exp (* x a)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) x)) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64))) x)) (.f64 (.f64 a a) #s(literal 0 binary64))) x (.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (+ (* x a) (* (* 1/2 a) (* (* x x) a))) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))

eval29.0ms (1.5%)

Memory: -37.6MiB live, 65.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 6 710 to 920 computations (86.3% saved)

prune5.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	198	9	207

Accuracy

100.0%

Counts

207 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
▶	23.5%	(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp ( x a)) -1)) #s(literal 1/2 binary64)))
✓	53.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
✓	61.1%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))))
✓	60.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	65.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 116 to 90 computations (22.4% saved)

series52.0ms (2.6%)

Memory

-2.4MiB live, 41.3MiB allocated; 5ms collecting garbage

Counts

20 → 87

Calls

Call 1

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

Outputs
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* -1 (* a (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (+ (* -1 (* a (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))) (* -1 (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (+ (* -1 (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))) (* a (+ (* -1 (* a (- (* -1/3 (pow x 4)) (+ (* -1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/2 (* x (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))))))))))))) (* -1 (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))))))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* -2 (* a x))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* -2 (* a (pow x 2))) (* 2 x)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* a (- (* a (- (* -2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))) (* 2 (pow x 2)))) (* 2 x)))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 -1))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* -2 (* a x)) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* -2 (* a (pow x 2))) (* 2 x))) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x))) 1)))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 1))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 -2))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* -1 (* a x)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* a (- (* -1/2 (* a (pow x 2))) x)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* a (- (* a (- (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) x)) 2)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* -1 (/ (- 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (- 1 (exp (* 2 (* a x))))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (* -1 (exp (* 2 (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (* -1 (+ 1 (exp (* a x))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#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)))))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* -1 (* x (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (+ (* -1 (* x (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))) (* -1 (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (+ (* -1 (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))) (* x (+ (* -1 (* x (- (* -1/3 (pow a 4)) (+ (* -1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/2 (* a (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))))))))))))) (* -1 (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))))))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* -2 (* (pow a 2) x)) (* 2 a)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* x (- (* x (- (* -2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))) (* 2 (pow a 2)))) (* 2 a)))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* -2 (* (pow a 2) x)) (* 2 a))) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a))) 1)))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* x (- (* -1/2 (* (pow a 2) x)) a)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* x (- (* x (- (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) a)) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) (- (neg (exp (* (+ a a) x))) -1) (neg (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (neg (- (exp (* x a)) -1)))
3.0ms	a	@	-inf	((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) (- (neg (exp (* (+ a a) x))) -1) (neg (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (neg (- (exp (* x a)) -1)))
2.0ms	a	@	0	((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) (- (neg (exp (* (+ a a) x))) -1) (neg (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (neg (- (exp (* x a)) -1)))
2.0ms	a	@	inf	((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) (- (neg (exp (* (+ a a) x))) -1) (neg (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (neg (- (exp (* x a)) -1)))
2.0ms	x	@	0	((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) (- (neg (exp (* (+ a a) x))) -1) (neg (exp (* (+ a a) x))) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (neg (- (exp (* x a)) -1)))

rewrite211.0ms (10.7%)

Memory

43.1MiB live, 264.6MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	549	3267
0	576	2922
1	3650	2922
0	8327	2727

Stop Event

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

Counts

107 → 180

Calls

Call 1

Inputs
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp ( x a)) -1)) #s(literal 1/2 binary64)))
(/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
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 (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(-.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(neg.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a x)))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* -1 (* a (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (+ (* -1 (* a (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))) (* -1 (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* a (+ x (* a (+ (* -1 (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))) (* a (+ (* -1 (* a (- (* -1/3 (pow x 4)) (+ (* -1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/2 (* x (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2)))))))))))))) (* -1 (- (* -2/3 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 1/2 (* x (- (* -1 (pow x 2)) (* -1/2 (pow x 2))))))))))))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* -2 (* a x))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* -2 (* a (pow x 2))) (* 2 x)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* a (- (* a (- (* a (- (* -2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))) (* 2 (pow x 2)))) (* 2 x)))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 -1))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* -2 (* a x)) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* -2 (* a (pow x 2))) (* 2 x))) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x))) 1)))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 1))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 -2))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* -1 (* a x)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* a (- (* -1/2 (* a (pow x 2))) x)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* a (- (* a (- (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) x)) 2)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* -1 (/ (- 1 (exp (* 2 (* a x)))) (+ 1 (exp (* a x)))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (- 1 (exp (* 2 (* a x))))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (* -1 (exp (* 2 (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (* -1 (+ 1 (exp (* a x))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#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)))))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* -1 (* x (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (+ (* -1 (* x (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))) (* -1 (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))))
#s(approx (/ (- (neg (exp (* (+ a a) x))) -1) (neg (- (exp (* x a)) -1))) #s(hole binary64 (* x (+ a (* x (+ (* -1 (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))) (* x (+ (* -1 (* x (- (* -1/3 (pow a 4)) (+ (* -1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/2 (* a (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2)))))))))))))) (* -1 (- (* -2/3 (pow a 3)) (+ (* -1/4 (pow a 3)) (* 1/2 (* a (- (* -1 (pow a 2)) (* -1/2 (pow a 2))))))))))))))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* -2 (* (pow a 2) x)) (* 2 a)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) #s(hole binary64 (* x (- (* x (- (* x (- (* -2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))) (* 2 (pow a 2)))) (* 2 a)))))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* -2 (* (pow a 2) x)) (* 2 a))) 1)))
#s(approx (neg (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a))) 1)))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* x (- (* -1/2 (* (pow a 2) x)) a)) 2)))
#s(approx (neg (- (exp (* x a)) -1)) #s(hole binary64 (- (* x (- (* x (- (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) a)) 2)))

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 #s(approx (/ 1 (- (exp ( x a)) -1)) #s(literal 1/2 binary64)) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp ( x a)) -1)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)))
(/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(.f64 (neg.f64 (exp.f64 (.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))))
(.f64 (fabs.f64 (exp.f64 (.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))
(.f64 (exp.f64 (.f64 a x)) (exp.f64 (*.f64 a x)))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) a)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 a x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 a a) x))
(+.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (sinh.f64 (.f64 (+.f64 a a) x)))
(*.f64 (+.f64 a a) x)
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 a x))
(*.f64 x (+.f64 a a))
(fma.f64 a x (*.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a x))
(*.f64 a x)
(*.f64 x a)
x
a
#s(literal 2 binary64)
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 a x) #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 a x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 a x))
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
#s(literal -1 binary64)
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.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 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.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 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)))))
(-.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))
(neg.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(.f64 (neg.f64 (exp.f64 (.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))))
(.f64 (fabs.f64 (exp.f64 (.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))
(.f64 (exp.f64 (.f64 a x)) (exp.f64 (*.f64 a x)))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) a)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 a x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 a a) x))
(+.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (sinh.f64 (.f64 (+.f64 a a) x)))
(*.f64 (+.f64 a a) x)
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 a x))
(*.f64 x (+.f64 a a))
(fma.f64 a x (*.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a x))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.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 a a)
(neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (*.f64 a x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x))) a x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 a (-.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (fma.f64 a (-.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) (.f64 x x))) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))))))) a))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) a (.f64 x x)) (.f64 (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) a))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (exp (* (* x a) 2)) #s(literal 1 binary64))
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 a x #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 (*.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 a x #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 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 #s(literal -1/4 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) a)) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) a)) (.f64 (.f64 x x) #s(literal 0 binary64))) a (.f64 #s(literal -1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (*.f64 a x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (+.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) a)) x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (+.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) x)))) a))) a x) a))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (.f64 (-.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 (-.f64 (.f64 #s(literal -2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) x)))) x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))))) a))) a (neg.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 #s(literal -2 binary64) (.f64 a x)))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (.f64 x x) (.f64 #s(literal -2 binary64) x)) a))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -2 binary64) (.f64 x x))) a (*.f64 #s(literal -2 binary64) x)) a))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) a) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal -4/3 binary64) (.f64 (.f64 x x) x))) a (.f64 #s(literal -2 binary64) (.f64 x x))) a (*.f64 #s(literal -2 binary64) x)) a))
#s(approx (neg (exp (* (+ a a) x))) #s(literal -1 binary64))
#s(approx (neg (exp (* (+ a a) x))) (-.f64 (.f64 #s(literal -2 binary64) (.f64 a x)) #s(literal 1 binary64)))
#s(approx (neg (exp (* (+ a a) x))) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (.f64 x x) (.f64 #s(literal -2 binary64) x)) a) #s(literal 1 binary64)))
#s(approx (neg (exp (* (+ a a) x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -2 binary64) (.f64 x x))) a (*.f64 #s(literal -2 binary64) x)) a) #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) #s(literal 1 binary64))
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#s(approx (+ a a) (+.f64 a a))
#s(approx (neg (- (exp (* x a)) -1)) #s(literal -2 binary64))
#s(approx (neg (- (exp (* x a)) -1)) (-.f64 (neg.f64 (*.f64 a x)) #s(literal 2 binary64)))
#s(approx (neg (- (exp (* x a)) -1)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) a) #s(literal -1/2 binary64)) x) a) #s(literal 2 binary64)))
#s(approx (neg (- (exp (* x a)) -1)) (-.f64 (.f64 (-.f64 (.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) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
#s(approx (exp (* (* x a) 2)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* x a)) -1) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
#s(approx (exp (* x a)) (exp.f64 (*.f64 a x)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))
#s(approx (neg (exp (* (+ a a) x))) (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))))
#s(approx (exp (* (* x a) 2)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (neg (- (exp (* x a)) -1)) (neg.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 a a) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a))) x a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 x (-.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (fma.f64 x (-.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a))))) (.f64 a a))) (.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64))) a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 a a) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) a) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 0 binary64)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 a a) a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)))))))))) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a))))) x (.f64 a a)) (.f64 (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64)))) x a) x))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) x a) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)))))) (.f64 a a)) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#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)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) x)) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* x a)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) x)) (.f64 (.f64 a a) #s(literal 0 binary64))) x (.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (+.f64 (neg.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x)) a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (+.f64 (neg.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64))) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 a a) a) #s(literal -1/4 binary64)))) x))) x a) x))
#s(approx (- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/4 binary64))))) (neg.f64 (.f64 (-.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 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal -2/3 binary64)) (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/4 binary64)))) a) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal -1/2 binary64)))))) x))) x (neg.f64 (.f64 (*.f64 a a) #s(literal -1/2 binary64)))) x a) x))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) x (.f64 #s(literal -2 binary64) a)) x))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) (.f64 (.f64 a a) a)) x (.f64 #s(literal -2 binary64) (.f64 a a))) x (*.f64 #s(literal -2 binary64) a)) x))
#s(approx (- (neg (exp (* (+ a a) x))) -1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) (.f64 (.f64 a a) (.f64 a a))) x (.f64 #s(literal -4/3 binary64) (.f64 (.f64 a a) a))) x (.f64 #s(literal -2 binary64) (.f64 a a))) x (*.f64 #s(literal -2 binary64) a)) x))
#s(approx (neg (exp (* (+ a a) x))) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) x (.f64 #s(literal -2 binary64) a)) x) #s(literal 1 binary64)))
#s(approx (neg (exp (* (+ a a) x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) (.f64 (.f64 a a) a)) x (.f64 #s(literal -2 binary64) (.f64 a a))) x (*.f64 #s(literal -2 binary64) a)) x) #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.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(literal 1 binary64)))
#s(approx (neg (- (exp (* x a)) -1)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) #s(literal -1/2 binary64)) x) a) x) #s(literal 2 binary64)))
#s(approx (neg (- (exp (* x a)) -1)) (-.f64 (.f64 (-.f64 (.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)))

eval50.0ms (2.5%)

Memory: -12.9MiB live, 49.1MiB allocated; 38ms collecting garbage
Compiler: Compiled 5 892 to 867 computations (85.3% saved)

prune11.0ms (0.6%)

Memory

-29.6MiB live, 18.6MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	0	0	0
Picked	2	0	2
Done	0	7	7
Total	161	9	170

Accuracy

100.0%

Counts

170 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(/.f64 #s(approx (- (neg (exp (* (+ a a) x))) -1) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
	23.5%	(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(approx (/ 1 (- (exp (* x a)) -1)) #s(literal 1/2 binary64)))
✓	53.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
✓	61.1%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 x x) a))))
✓	60.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	65.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 326 to 162 computations (50.3% saved)

regimes17.0ms (0.9%)

Memory

39.2MiB live, 39.2MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.4%)

Memory

-31.9MiB live, 14.1MiB allocated; 3ms 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:

3.0ms	x
2.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
65.6%	1	`(*.f64 a x)`
65.6%	1	`(exp.f64 (*.f64 a x))`
65.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
65.6%	1	`a`
65.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms 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:

1.0ms	a
1.0ms	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
17.0%	1	`(exp.f64 (*.f64 a x))`
17.0%	1	`(*.f64 a x)`
17.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
17.0%	1	`a`
17.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations46.0ms (2.3%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess41.0ms (2.1%)

Memory: -15.7MiB live, 30.1MiB allocated; 3ms 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%)

analyze29.0ms (1.5%)

sample567.0ms (28.7%)

explain99.0ms (5%)

preprocess22.0ms (1.1%)

series5.0ms (0.2%)

rewrite153.0ms (7.8%)

eval7.0ms (0.3%)

prune4.0ms (0.2%)

series13.0ms (0.7%)

rewrite237.0ms (12%)

eval141.0ms (7.1%)

prune8.0ms (0.4%)

series43.0ms (2.2%)

rewrite174.0ms (8.8%)

eval29.0ms (1.5%)

prune5.0ms (0.3%)

series52.0ms (2.6%)

rewrite211.0ms (10.7%)

eval50.0ms (2.5%)

prune11.0ms (0.6%)

regimes17.0ms (0.9%)

regimes8.0ms (0.4%)

regimes5.0ms (0.2%)

derivations46.0ms (2.3%)

preprocess41.0ms (2.1%)

end0.0ms (0%)

Profiling