Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze20.0ms (0.9%)

Memory

25.6MiB live, 25.6MiB 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)

sample648.0ms (28.3%)

Memory

14.8MiB live, 563.2MiB allocated; 119ms collecting garbage

Samples

378.0ms	8 256×	0	valid
14.0ms	321×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 73.0ms (54.5% of total)

ival-expm1: 55.0ms (41.1% of total)

adjust: 3.0ms (2.2% of total)

ival-assert: 2.0ms (1.5% of total)

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

exact: 1.0ms (0.7% of total)

Bogosity

explain98.0ms (4.3%)

Memory

-10.7MiB live, 79.6MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
127	2	(6.223255692561432e-257 3.614615491822479e-67)	-	`(-.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	129	0

Confusion

	Predicted +	Predicted -
+	127	0
-	2	127

Precision

0.9844961240310077

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	2	0	127

Precision?

0.9844961240310077

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 4.0ms (32.8% of total)

ival-mult: 4.0ms (32.8% of total)

ival-expm1: 3.0ms (24.6% 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)

preprocess249.0ms (10.9%)

Memory

-9.2MiB live, 249.6MiB allocated; 98ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB 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	a	@	inf	((- (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	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite136.0ms (5.9%)

Memory

10.6MiB live, 97.3MiB allocated; 19ms 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))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.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 (.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)

eval6.0ms (0.3%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	59.0%	#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))
▶	60.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	66.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 148 to 112 computations (24.3% saved)

series19.0ms (0.8%)

Memory

-27.2MiB live, 17.7MiB allocated; 8ms 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
11.0ms	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	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	@	-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)
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)

rewrite212.0ms (9.3%)

Memory

12.2MiB live, 202.9MiB allocated; 33ms 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 (.f64 (.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a)
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 a x) a)
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) (.f64 #s(literal 1/2 binary64) x)) a)
(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))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.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))))

eval45.0ms (1.9%)

Memory: -26.9MiB live, 79.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 372 to 1 076 computations (83.1% saved)

prune10.0ms (0.5%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	310	8	318

Accuracy

100.0%

Counts

318 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	65.2%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) x) a (.f64 a x)))
▶	59.0%	#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))
▶	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	65.3%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	66.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 110 to 81 computations (26.4% saved)

series69.0ms (3%)

Memory

-22.5MiB live, 23.7MiB allocated; 4ms collecting garbage

Counts

28 → 93

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	x	@	inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2) (* a a) (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
5.0ms	x	@	0	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2) (* a a) (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
5.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2) (* a a) (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
5.0ms	a	@	0	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2) (* a a) (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))
4.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) 1/2 (* a x) a x 1 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2) (* a a) (- (exp (* a x)) 1) (+ (* (* (* 1/2 (* a x)) x) a) (* a x)) (* (* 1/2 (* a x)) x) (* 1/2 (* a x)))

rewrite221.0ms (9.7%)

Memory

36.9MiB live, 219.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	2339
0	355	2283
1	1528	2279
0	8465	2195

Stop Event

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

Counts

121 → 345

Calls

Call 1

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

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

eval68.0ms (3%)

Memory: -4.2MiB live, 96.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 740 to 1 675 computations (85.7% saved)

prune15.0ms (0.7%)

Memory

-11.5MiB live, 33.5MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	387	3	390
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	389	9	398

Accuracy

100.0%

Counts

398 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	65.3%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 x a))))
✓	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	61.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x a) x))
▶	65.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
✓	65.3%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	66.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 139 to 101 computations (27.3% saved)

series19.0ms (0.8%)

Memory

-11.4MiB live, 32.7MiB allocated; 4ms collecting garbage

Counts

20 → 83

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* a a)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* a a) (- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 (* x a)) (* x a))) (* (* 1/2 (* x a)) (* x a)) (* 1/2 (* x a)))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* a a)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* a a) (- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 (* x a)) (* x a))) (* (* 1/2 (* x a)) (* x a)) (* 1/2 (* x a)))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* a a)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* a a) (- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 (* x a)) (* x a))) (* (* 1/2 (* x a)) (* x a)) (* 1/2 (* x a)))
2.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* a a)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* a a) (- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 (* x a)) (* x a))) (* (* 1/2 (* x a)) (* x a)) (* 1/2 (* x a)))
2.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) 1/2 (* x a) x a 1 (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* a a)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* a a) (- (exp (* a x)) 1) (+ (* x a) (* (* 1/2 (* x a)) (* x a))) (* (* 1/2 (* x a)) (* x a)) (* 1/2 (* x a)))

rewrite195.0ms (8.5%)

Memory

38.3MiB live, 183.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	2275
0	319	2203
1	1502	2199
0	8447	2045

Stop Event

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

Counts

103 → 282

Calls

Call 1

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

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

eval62.0ms (2.7%)

Memory: -11.2MiB live, 33.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 10 019 to 1 303 computations (87% saved)

prune14.0ms (0.6%)

Memory

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

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	284	9	293

Accuracy

100.0%

Counts

293 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	65.3%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 x a))))
✓	62.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	61.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x a) x))
✓	65.3%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
✓	65.3%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	66.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 344 to 169 computations (50.9% saved)

regimes30.0ms (1.3%)

Memory

-33.4MiB live, 13.7MiB allocated; 1ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
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)

regimes15.0ms (0.6%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

10 → 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 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.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 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 x a))))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) x) a (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x 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
66.0%	1	`(*.f64 a x)`
66.0%	1	`(exp.f64 (*.f64 a x))`
66.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.0%	1	`a`
66.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
19.6%	1	`a`
19.6%	1	`(*.f64 a x)`
19.6%	1	`(exp.f64 (*.f64 a x))`
19.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify51.0ms (2.2%)

Memory

-28.4MiB live, 23.2MiB allocated; 9ms 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))

derivations45.0ms (1.9%)

Memory

36.9MiB live, 36.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess27.0ms (1.2%)

Memory: -8.3MiB live, 35.2MiB allocated; 5ms 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%)

analyze20.0ms (0.9%)

sample648.0ms (28.3%)

explain98.0ms (4.3%)

preprocess249.0ms (10.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

rewrite136.0ms (5.9%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

series19.0ms (0.8%)

rewrite212.0ms (9.3%)

eval45.0ms (1.9%)

prune10.0ms (0.5%)

series69.0ms (3%)

rewrite221.0ms (9.7%)

eval68.0ms (3%)

prune15.0ms (0.7%)

series19.0ms (0.8%)

rewrite195.0ms (8.5%)

eval62.0ms (2.7%)

prune14.0ms (0.6%)

regimes30.0ms (1.3%)

regimes15.0ms (0.6%)

regimes5.0ms (0.2%)

simplify51.0ms (2.2%)

derivations45.0ms (1.9%)

preprocess27.0ms (1.2%)

end0.0ms (0%)

Profiling