Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze27.0ms (1.4%)

Memory

-12.2MiB live, 33.6MiB allocated; 10ms 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)

sample539.0ms (27.5%)

Memory

15.5MiB live, 681.2MiB allocated; 79ms collecting garbage

Samples

302.0ms	8 256×	0	valid
50.0ms	304×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-expm1: 92.0ms (63.4% of total)

ival-mult!: 50.0ms (34.4% of total)

adjust: 1.0ms (0.7% of total)

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

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

Bogosity

explain68.0ms (3.4%)

Memory

-13.9MiB live, 128.5MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	1	(-2.879491973438204e-279 -4.0205766388532234e+276)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	0	-	`a`
0	-	0	-	`(exp.f64 (*.f64 a x))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	132	1

Confusion

	Predicted +	Predicted -
+	132	1
-	0	123

Precision

1.0

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	1	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (40.8% of total)

ival-expm1: 3.0ms (30.6% of total)

ival-mult!: 3.0ms (30.6% of total)

adjust: 0.0ms (0% of total)

preprocess31.0ms (1.6%)

Memory

-7.5MiB live, 34.6MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite202.0ms (10.3%)

Memory

9.8MiB live, 182.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 56

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 685 to 179 computations (73.9% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	7	51

Accuracy

100.0%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.7%	(-.f64 #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(literal 1 binary64))
▶	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	60.7%	#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))
▶	63.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	68.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 184 to 136 computations (26.1% saved)

series10.0ms (0.5%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

17 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite227.0ms (11.6%)

Memory

-29.2MiB live, 159.5MiB allocated; 42ms 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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) a) a)
(fma.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 a x)) a)
(fma.f64 x (.f64 (.f64 a a) #s(literal 1/2 binary64)) a)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) a)))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 2 binary64)) (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))))
(-.f64 a (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a x)) a))
(-.f64 a (.f64 (neg.f64 a) (.f64 #s(literal 1/2 binary64) (*.f64 a x))))
(-.f64 a (.f64 (neg.f64 (.f64 a a)) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 a (.f64 (neg.f64 (.f64 (*.f64 a x) a)) #s(literal 1/2 binary64)))
(-.f64 a (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 x x) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 x x) (.f64 a (-.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) a) (.f64 a a))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a x)) a) a) (*.f64 a a))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)
(+.f64 a (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
(.f64 (.f64 x (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (neg.f64 a) x) (neg.f64 a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) x))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(.f64 (.f64 (neg.f64 a) #s(literal -1 binary64)) a)
(.f64 (.f64 (neg.f64 a) a) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(.f64 #s(literal -1 binary64) (.f64 a (neg.f64 a)))
(.f64 (.f64 a a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a a))
(.f64 a (.f64 #s(literal -1 binary64) (neg.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
(.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (* (* a a) x) (.f64 (.f64 a x) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (pow.f64 (exp.f64 a) x))
#s(approx (+ (* x a) 1) (*.f64 a x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx x x)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x))))

eval68.0ms (3.5%)

Memory: 6.9MiB live, 57.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 6 083 to 1 065 computations (82.5% saved)

prune9.0ms (0.5%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	286	9	295

Accuracy

100.0%

Counts

295 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.0%	(-.f64 #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(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	60.7%	#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))
▶	62.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 219 to 159 computations (27.4% saved)

series31.0ms (1.6%)

Memory

-4.2MiB live, 44.4MiB allocated; 3ms collecting garbage

Counts

30 → 116

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

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

Calls

6 calls:

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

rewrite204.0ms (10.4%)

Memory

28.3MiB live, 205.4MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2862
0	409	2786
1	1829	2780
0	8420	2677

Stop Event

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

Counts

146 → 328

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) 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 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 (.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 (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)))))))
(/.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)))))
(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 a #s(literal 1 binary64)) (.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 (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 (.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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.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 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) #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) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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)))))
(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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x a)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 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))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.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 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 a) a) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a) x)
(.f64 x (fma.f64 (.f64 (*.f64 x a) a) #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (.f64 x a) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 a (.f64 (.f64 (*.f64 x a) a) #s(literal 1/2 binary64))))
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(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) a)
(*.f64 a (pow.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (*.f64 x a))
#s(approx (* (* (+ (* 1/2 (* a x)) 1) a) x) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) a)
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a))
#s(approx (+ (* 1/2 (* a x)) 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)
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) (*.f64 x a))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (+ (* (* (* a x) a) 1/2) a) a)
#s(approx (+ (* (* (* a x) a) 1/2) a) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) a))
#s(approx (* (* a x) a) (.f64 (.f64 a a) x))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 x a))
#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 (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 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 x) a) 1/2) x) a) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (*.f64 x a))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.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 x 3) a) 1/6) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (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))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (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))))
#s(approx (* (pow x 3) a) (*.f64 (pow.f64 x #s(literal 3 binary64)) 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 #s(literal 1/2 binary64) x) (.f64 a a) a))
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
#s(approx (+ (* 1/2 (* a x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (*.f64 a a)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a a) a))
#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 (exp (* a x)) (pow.f64 (exp.f64 x) a))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.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) a) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 x a))) (*.f64 a a)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.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 x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.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 x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (.f64 (*.f64 a a) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) 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))) (.f64 a a)))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) 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)))) (.f64 a a)))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.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))) a))
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) (.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (/.f64 (neg.f64 x) a))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) a))) (*.f64 a a)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (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)))))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (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)))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (/.f64 (neg.f64 x) a)) a))) (*.f64 a a)))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (neg.f64 a) (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)))))
#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 (* (* (+ (* 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 (* (+ (* (* (* a x) a) 1/2) a) x) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a x) a) 1/2) a) (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a))
#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 (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) a) 1/2) x) a) 1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.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 (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#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 (* (+ (* (* (* a x) a) 1/2) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (* (* a x) a) 1/2) a) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))
#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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.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) a) 1) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) 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))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) 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)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* 1/2 (* a x)) 1) a) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) (/.f64 (neg.f64 a) x))))
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) a) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (* (* a x) a) 1/2) a) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 a a) (/.f64 (neg.f64 a) x))))
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) x))) (*.f64 x x)))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (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))))))
#s(approx (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (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)))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a a)))))
#s(approx (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 a a) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) x)))))
#s(approx (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x))))

eval41.0ms (2.1%)

Memory: 1.7MiB live, 48.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 12 454 to 1 762 computations (85.9% saved)

prune14.0ms (0.7%)

Memory

-29.3MiB live, 16.1MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	384	9	393

Accuracy

100.0%

Counts

393 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 x (.f64 x a)) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	63.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(approx (+ ( (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) (*.f64 x x))) a x) a))
▶	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
▶	65.1%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x)) a))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 163 to 117 computations (28.2% saved)

series22.0ms (1.1%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

30 → 135

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) x) (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) (+ (* (* (* a a) x) 1/6) (* 1/2 a)) (* (* a a) x) (* a a) a x 1/6 (* 1/2 a) 1/2 1 (- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) (* x a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* x (* x a)) 1/2) x) a) 1) (+ (* (* x (* x a)) 1/2) x) (* x (* x a)))
4.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) x) (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) (+ (* (* (* a a) x) 1/6) (* 1/2 a)) (* (* a a) x) (* a a) a x 1/6 (* 1/2 a) 1/2 1 (- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) (* x a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* x (* x a)) 1/2) x) a) 1) (+ (* (* x (* x a)) 1/2) x) (* x (* x a)))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) x) (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) (+ (* (* (* a a) x) 1/6) (* 1/2 a)) (* (* a a) x) (* a a) a x 1/6 (* 1/2 a) 1/2 1 (- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) (* x a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* x (* x a)) 1/2) x) a) 1) (+ (* (* x (* x a)) 1/2) x) (* x (* x a)))
3.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) x) (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) (+ (* (* (* a a) x) 1/6) (* 1/2 a)) (* (* a a) x) (* a a) a x 1/6 (* 1/2 a) 1/2 1 (- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) (* x a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* x (* x a)) 1/2) x) a) 1) (+ (* (* x (* x a)) 1/2) x) (* x (* x a)))
3.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (* (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) x) (+ (* (+ (* (* (* a a) x) 1/6) (* 1/2 a)) x) 1) (+ (* (* (* a a) x) 1/6) (* 1/2 a)) (* (* a a) x) (* a a) a x 1/6 (* 1/2 a) 1/2 1 (- (exp (* a x)) 1) (* (+ (* 1/2 (* x a)) 1) (* x a)) (+ (* 1/2 (* x a)) 1) (* x a) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* x (* x a)) 1/2) x) a) 1) (+ (* (* x (* x a)) 1/2) x) (* x (* x a)))

rewrite197.0ms (10%)

Memory

-9.2MiB live, 130.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	3707
0	462	3601
1	2150	3601
0	8812	3405

Stop Event

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

Counts

165 → 361

Calls

Call 1

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

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

eval44.0ms (2.2%)

Memory: 5.1MiB live, 50.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 15 642 to 2 063 computations (86.8% saved)

prune13.0ms (0.7%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	363	1	364
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	365	8	373

Accuracy

100.0%

Counts

373 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 x (.f64 x a)) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a)))
	68.8%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 #s(approx (+ ( (* (* a a) x) 1/6) (* 1/2 a)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a)) x #s(literal 1 binary64)) x)) a))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 469 to 193 computations (58.8% saved)

regimes28.0ms (1.4%)

Memory

-30.7MiB live, 24.7MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

5 calls:

10.0ms	x
5.0ms	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)

regimes19.0ms (0.9%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

4.0ms	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
68.8%	1	`(*.f64 a x)`
68.8%	1	`(exp.f64 (*.f64 a x))`
68.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.8%	1	`a`
68.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes18.0ms (0.9%)

Memory

-29.2MiB live, 17.5MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	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
68.2%	1	`(exp.f64 (*.f64 a x))`
68.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.2%	1	`(*.f64 a x)`
68.2%	1	`x`
68.2%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.6%	1	`(*.f64 a x)`
20.6%	1	`a`
20.6%	1	`(exp.f64 (*.f64 a x))`
20.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations100.0ms (5.1%)

Memory

3.5MiB live, 49.5MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 74 to 38 computations (48.6% saved)

preprocess32.0ms (1.6%)

Memory: -10.3MiB live, 33.2MiB allocated; 8ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 232 to 154 computations (33.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze27.0ms (1.4%)

sample539.0ms (27.5%)

explain68.0ms (3.4%)

preprocess31.0ms (1.6%)

series5.0ms (0.3%)

rewrite202.0ms (10.3%)

eval5.0ms (0.3%)

prune4.0ms (0.2%)

series10.0ms (0.5%)

rewrite227.0ms (11.6%)

eval68.0ms (3.5%)

prune9.0ms (0.5%)

series31.0ms (1.6%)

rewrite204.0ms (10.4%)

eval41.0ms (2.1%)

prune14.0ms (0.7%)

series22.0ms (1.1%)

rewrite197.0ms (10%)

eval44.0ms (2.2%)

prune13.0ms (0.7%)

regimes28.0ms (1.4%)

regimes19.0ms (0.9%)

regimes18.0ms (0.9%)

regimes5.0ms (0.2%)

derivations100.0ms (5.1%)

preprocess32.0ms (1.6%)

end0.0ms (0%)

Profiling