Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze19.0ms (0.9%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample555.0ms (27.8%)

Memory

-1.9MiB live, 520.8MiB allocated; 79ms collecting garbage

Samples

332.0ms	8 256×	0	valid
12.0ms	271×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 70.0ms (50% of total)

ival-expm1: 65.0ms (46.4% of total)

adjust: 3.0ms (2.1% of total)

ival-assert: 2.0ms (1.4% of total)

ival->: 1.0ms (0.7% of total)

exact: 0.0ms (0% of total)

Bogosity

explain210.0ms (10.5%)

Memory

-28.1MiB live, 88.2MiB allocated; 182ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	1	(1.195950380680573e-205 3.3211542413810387e-118)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	134	0

Confusion

	Predicted +	Predicted -
+	133	0
-	1	122

Precision

0.9925373134328358

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	1	0	122

Precision?

0.9925373134328358

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

169.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 121.0ms (94% of total)

ival-exp: 3.0ms (2.3% of total)

ival-expm1: 3.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess206.0ms (10.3%)

Memory

-5.1MiB live, 91.9MiB allocated; 24ms 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
0	6	6
0	9	6
1	17	6
2	35	6
3	84	6
4	297	6
5	2733	6
0	8456	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite145.0ms (7.3%)

Memory

12.8MiB live, 109.4MiB allocated; 15ms 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 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(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) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.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 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (*.f64 (pow.f64 (exp.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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #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)) (pow.f64 (exp.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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#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 (pow.f64 a #s(literal 3 binary64)) 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)

eval8.0ms (0.4%)

Memory: -37.4MiB live, 9.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Accuracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	64.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	67.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 100 to 78 computations (22% saved)

series10.0ms (0.5%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms 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
2.0ms	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)

rewrite193.0ms (9.6%)

Memory

21.4MiB live, 165.9MiB allocated; 8ms 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 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(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) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.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 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 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 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 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 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 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 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 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 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #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)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 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 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 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) (-.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)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 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(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 (pow.f64 x #s(literal -1 binary64)) a) x)
(*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) x) a)
(*.f64 a (+.f64 (pow.f64 a #s(literal -1 binary64)) x))
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) a))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 a #s(literal -2 binary64))) a) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (.f64 (-.f64 (.f64 a a) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (.f64 a (-.f64 (.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (-.f64 x (pow.f64 a #s(literal -1 binary64))))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a)))
(/.f64 (.f64 x (-.f64 (.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (-.f64 a (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a x #s(literal -1 binary64))))
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(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) (.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a a) a)
(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 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 2 binary64)) (-.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 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 2 binary64)) (-.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 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
(-.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 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 x x) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 x x) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 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 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 3 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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
(.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 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #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)) (pow.f64 (exp.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 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#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) (pow.f64 a #s(literal -1 binary64)))))
#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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#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 (pow.f64 a #s(literal 3 binary64)) 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 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#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 (pow.f64 a #s(literal 3 binary64)) 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) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))

eval33.0ms (1.7%)

Memory: 4.8MiB live, 52.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 372 to 1 076 computations (83.1% saved)

prune13.0ms (0.7%)

Memory

-25.1MiB live, 20.8MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	309	8	317

Accuracy

100.0%

Counts

317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 a x) a) (.f64 #s(literal 1/2 binary64) x) (.f64 a x)))
✓	64.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	18.2%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
✓	67.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 112 to 82 computations (26.8% saved)

series15.0ms (0.8%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

18 → 54

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite192.0ms (9.6%)

Memory

-10.3MiB live, 165.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1154
0	192	1126
1	773	1085
0	6104	1041

Stop Event

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

Counts

72 → 402

Calls

Call 1

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

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

eval37.0ms (1.8%)

Memory: -4.8MiB live, 41.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 799 to 1 136 computations (85.4% saved)

prune10.0ms (0.5%)

Memory

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

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	0	0	0
Picked	1	2	3
Done	1	4	5
Total	313	7	320

Accuracy

100.0%

Counts

320 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	18.2%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
✓	67.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 93 to 71 computations (23.7% saved)

series5.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

9 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite176.0ms (8.8%)

Memory

-16.0MiB live, 87.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	594
0	141	577
1	673	572
0	5624	538

Stop Event

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

Counts

40 → 173

Calls

Call 1

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

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

eval18.0ms (0.9%)

Memory: 22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 231 to 714 computations (83.1% saved)

prune10.0ms (0.5%)

Memory

-33.2MiB live, 12.6MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	170	7	177

Accuracy

100.0%

Counts

177 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
✓	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
	18.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx ( (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) a))
✓	67.3%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 254 to 127 computations (50% saved)

regimes15.0ms (0.8%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

11 → 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))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx ( (+ (* 1/2 (* x a)) 1) x) (.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) a))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) 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) (fma.f64 (.f64 (.f64 a x) a) (.f64 #s(literal 1/2 binary64) x) (.f64 a x)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.7%)

Memory

15.7MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`(*.f64 a x)`
67.3%	1	`(exp.f64 (*.f64 a x))`
67.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.3%	1	`a`
67.3%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.3%)

Memory

-38.1MiB live, 8.8MiB allocated; 2ms 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:

2.0ms	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
18.7%	1	`(exp.f64 (*.f64 a x))`
18.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
18.7%	1	`(*.f64 a x)`
18.7%	1	`a`
18.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify33.0ms (1.7%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	43	22
3	100	22
4	329	22
5	2668	22

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations43.0ms (2.2%)

Memory

-32.2MiB live, 17.7MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess23.0ms (1.2%)

Memory: 24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze19.0ms (0.9%)

sample555.0ms (27.8%)

explain210.0ms (10.5%)

preprocess206.0ms (10.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite145.0ms (7.3%)

eval8.0ms (0.4%)

prune3.0ms (0.1%)

series10.0ms (0.5%)

rewrite193.0ms (9.6%)

eval33.0ms (1.7%)

prune13.0ms (0.7%)

series15.0ms (0.8%)

rewrite192.0ms (9.6%)

eval37.0ms (1.8%)

prune10.0ms (0.5%)

series5.0ms (0.3%)

rewrite176.0ms (8.8%)

eval18.0ms (0.9%)

prune10.0ms (0.5%)

regimes15.0ms (0.8%)

regimes13.0ms (0.7%)

regimes6.0ms (0.3%)

simplify33.0ms (1.7%)

derivations43.0ms (2.2%)

preprocess23.0ms (1.2%)

end0.0ms (0%)

Profiling