Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze18.0ms (1.1%)

Memory

-1.3MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample458.0ms (27.7%)

Memory

-0.2MiB live, 151.9MiB allocated; 15ms collecting garbage

Samples

261.0ms	8 256×	74	valid
11.0ms	280×	74	invalid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-expm1: 57.0ms (48.8% of total)

ival-mult!: 50.0ms (42.8% of total)

adjust: 8.0ms (6.8% of total)

ival->: 1.0ms (0.9% of total)

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

Bogosity

explain58.0ms (3.5%)

Memory

4.5MiB live, 28.2MiB allocated; 1ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`a`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 a x)`
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	127	0

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (39.1% of total)

ival-expm1: 3.0ms (29.3% of total)

ival-mult!: 3.0ms (29.3% of total)

adjust: 1.0ms (9.8% of total)

preprocess178.0ms (10.8%)

Memory

3.4MiB live, 53.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	45	42
2	81	42
3	219	42
4	977	42
0	6	6
0	9	6
1	17	6
2	35	6
3	84	6
4	297	6
5	2733	6
0	8456	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.3%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite120.0ms (7.3%)

Memory

-5.2MiB live, 26.7MiB allocated; 4ms 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)

eval6.0ms (0.3%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune4.0ms (0.3%)

Memory

-3.7MiB live, 4.1MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	7	55

Accuracy

100.0%

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.9%	(-.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))
▶	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	58.2%	#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))
▶	61.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	65.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 184 to 136 computations (26.1% saved)

series10.0ms (0.6%)

Memory

5.8MiB live, 5.8MiB 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)
1.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	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)

rewrite207.0ms (12.5%)

Memory

-11.9MiB live, 40.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

65 → 307

Calls

Call 1

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

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

eval33.0ms (2%)

Memory: 2.0MiB live, 24.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 372 to 1 076 computations (83.1% saved)

prune9.0ms (0.6%)

Memory

6.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	311	8	319

Accuracy

100.0%

Counts

319 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.8%	(-.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))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	58.2%	#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))
▶	60.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	65.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 109 to 80 computations (26.6% saved)

series24.0ms (1.5%)

Memory

-2.2MiB live, 13.0MiB allocated; 1ms collecting garbage

Counts

26 → 96

Calls

Call 1

Inputs
#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)
(*.f64 a x)
a
x
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(.f64 (.f64 x x) a)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 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))
(-.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(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 (* (+ (* (* (* 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 (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx (* (+ (* (+ (* (* (pow 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)) #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 (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#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 (* (+ (* (+ (* (* (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 (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 (* a (+ (* -1 (/ x 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 (+ (* (+ (* (* (* 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 (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* (+ (* (* (* a 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 #s(hole binary64 x))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* (* (pow 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 (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 (* (+ (* (* (* 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 (* (+ (* (+ (* (* (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 (+ (* (+ (* (* (* 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 (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a 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)))))))
#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
5.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1)
4.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1)
4.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1)
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1)
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1)

rewrite152.0ms (9.2%)

Memory

-1.6MiB live, 54.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2467
0	367	2406
1	1731	2404
0	8115	2308

Stop Event

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

Counts

122 → 269

Calls

Call 1

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

eval40.0ms (2.4%)

Memory: -1.9MiB live, 29.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 678 to 1 483 computations (87.3% saved)

prune12.0ms (0.7%)

Memory

-0.5MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	373	8	381

Accuracy

100.0%

Counts

381 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.8%	(-.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))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.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 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	61.8%	#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))
✓	65.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 121 to 88 computations (27.3% saved)

series9.0ms (0.6%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

12 → 62

Calls

Call 1

Inputs
#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))
#s(literal 1/6 binary64)
(*.f64 x a)
x
a
#s(literal 1/2 binary64)
(*.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* x a) x a 1/2 (* x x))
2.0ms	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) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* x a) x a 1/2 (* x x))
1.0ms	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) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* x a) x a 1/2 (* x x))
1.0ms	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) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* x a) x a 1/2 (* x x))
1.0ms	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) (+ (* (* (pow x 3) a) 1/6) (* (* x x) 1/2)) (* (+ (* 1/6 (* x a)) 1/2) (* x x)) (+ (* 1/6 (* x a)) 1/2) 1/6 (* x a) x a 1/2 (* x x))

rewrite147.0ms (8.9%)

Memory

1.0MiB live, 49.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	1800
0	259	1760
1	1313	1757
0	8543	1615

Stop Event

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

Counts

74 → 150

Calls

Call 1

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

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

eval23.0ms (1.4%)

Memory: -3.9MiB live, 13.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 983 to 877 computations (87.4% saved)

prune8.0ms (0.5%)

Memory

1.3MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	159	8	167

Accuracy

100.0%

Counts

167 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.8%	(-.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))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.3%	(-.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 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	61.8%	#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))
✓	65.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 307 to 151 computations (50.8% saved)

regimes17.0ms (1%)

Memory

-4.6MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

12 → 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 (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 (.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 (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))
(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:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes13.0ms (0.8%)

Memory

0.9MiB live, 9.8MiB allocated; 1ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.7%	1	`(*.f64 a x)`
65.7%	1	`(exp.f64 (*.f64 a x))`
65.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
65.7%	1	`a`
65.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

-1.8MiB live, 6.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
19.3%	1	`(*.f64 a x)`
19.3%	1	`a`
19.3%	1	`(exp.f64 (*.f64 a x))`
19.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.3%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify34.0ms (2.1%)

Memory

2.7MiB live, 10.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations39.0ms (2.3%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess22.0ms (1.3%)

Memory: -1.8MiB live, 14.0MiB allocated; 2ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze18.0ms (1.1%)

sample458.0ms (27.7%)

explain58.0ms (3.5%)

preprocess178.0ms (10.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.3%)

rewrite120.0ms (7.3%)

eval6.0ms (0.3%)

prune4.0ms (0.3%)

series10.0ms (0.6%)

rewrite207.0ms (12.5%)

eval33.0ms (2%)

prune9.0ms (0.6%)

series24.0ms (1.5%)

rewrite152.0ms (9.2%)

eval40.0ms (2.4%)

prune12.0ms (0.7%)

series9.0ms (0.6%)

rewrite147.0ms (8.9%)

eval23.0ms (1.4%)

prune8.0ms (0.5%)

regimes17.0ms (1%)

regimes13.0ms (0.8%)

regimes5.0ms (0.3%)

simplify34.0ms (2.1%)

derivations39.0ms (2.3%)

preprocess22.0ms (1.3%)

end0.0ms (0%)

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