Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze55.0ms (3.2%)

Memory

-21.7MiB live, 26.2MiB allocated; 14ms 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)

sample547.0ms (31.7%)

Memory

25.1MiB live, 575.8MiB allocated; 77ms collecting garbage

Samples

299.0ms	8 256×	0	valid
12.0ms	285×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 76.0ms (55.6% of total)

ival-expm1: 55.0ms (40.3% of total)

adjust: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain67.0ms (3.9%)

Memory

35.2MiB live, 82.0MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
132	1	(1.7820374436594185e-17 1.56906398714174e-307)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	132	0
-	1	123

Precision

0.9924812030075187

Recall

1.0

Confusion?

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

Precision?

0.9924812030075187

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (34.5% of total)

ival-mult: 4.0ms (34.5% of total)

ival-expm1: 3.0ms (25.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess235.0ms (13.6%)

Memory

-28.0MiB live, 162.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

series5.0ms (0.3%)

Memory

6.1MiB live, 6.1MiB 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)

rewrite152.0ms (8.8%)

Memory

19.9MiB live, 119.1MiB allocated; 11ms 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)

eval7.0ms (0.4%)

Memory: -37.8MiB live, 8.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 709 to 182 computations (74.3% saved)

prune10.0ms (0.6%)

Memory

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

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Accuracy

100.0%

Counts

55 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
▶	55.6%	#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))

Status

Accuracy

Program

100.0%

(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

▶

55.6%

#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))

Compiler

Compiled 36 to 27 computations (25% saved)

series18.0ms (1.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

18 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (* (pow x 4) a) (pow x 4) x 4 a 1/24 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (* x x) 1/2) (* x x) 1/2)
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (* (pow x 4) a) (pow x 4) x 4 a 1/24 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (* x x) 1/2) (* x x) 1/2)
3.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (* (pow x 4) a) (pow x 4) x 4 a 1/24 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (* x x) 1/2) (* x x) 1/2)
2.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (* (pow x 4) a) (pow x 4) x 4 a 1/24 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (* x x) 1/2) (* x x) 1/2)
2.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (* (pow x 4) a) (pow x 4) x 4 a 1/24 (* (pow x 3) 1/6) (pow x 3) 3 1/6 (* (* x x) 1/2) (* x x) 1/2)

rewrite187.0ms (10.8%)

Memory

-8.2MiB live, 173.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	2688
0	357	2649
1	1934	2635
0	9013	2526

Stop Event

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

Counts

90 → 192

Calls

Call 1

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

Outputs
#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 (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 a (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))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 (.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) a) #s(literal 3 binary64))) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 (.f64 (.f64 (.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) a) (.f64 (.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) a)) (.f64 (.f64 x a) (.f64 (.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) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 a (.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)) #s(literal 3 binary64))) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 (.f64 (.f64 a (.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)) (.f64 a (.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))) (.f64 (.f64 x a) (.f64 a (.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))))))
(fma.f64 x a (.f64 (.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) a))
(fma.f64 x a (.f64 a (.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)))
(fma.f64 a x (.f64 (.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) a))
(fma.f64 a x (.f64 a (.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)))
(+.f64 (.f64 x a) (.f64 (.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) a))
(+.f64 (.f64 x a) (.f64 a (.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)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 a) (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)))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 a) (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)))) (.f64 (neg.f64 a) (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)))) (.f64 x (.f64 (neg.f64 a) (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))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.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) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.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) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.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)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.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) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.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) #s(literal 2 binary64)) (.f64 x (.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))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.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) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.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)))))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.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) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.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 (pow.f64 (.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) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.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) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.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 (pow.f64 (.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) #s(literal 3 binary64)) (+.f64 (pow.f64 (.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) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.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)))))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.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) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.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)))))))
(+.f64 (.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)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.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 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (*.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
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(fma.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(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)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/24 binary64) a) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) a) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) (.f64 (*.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) a)
(*.f64 a (pow.f64 x #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
x
#s(literal 4 binary64)
a
#s(literal 1/24 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 x #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))
(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(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#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 (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (*.f64 x a))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.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 (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) x)
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (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))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (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))))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (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))))
#s(approx (* (pow x 4) a) (*.f64 (pow.f64 x #s(literal 4 binary64)) a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (pow.f64 (.f64 x a) #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (/.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 x (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (/.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64))))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 x (pow.f64 a #s(literal 3 binary64)))))) (pow.f64 a #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (.f64 (*.f64 a a) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (.f64 a a) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (/.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64)))) (*.f64 a a)))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (.f64 (.f64 #s(literal 1/24 binary64) a) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) a))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (*.f64 x x) a) #s(literal -1/2 binary64))) a))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))) a))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (/.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))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (/.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) (neg.f64 (/.f64 x a))) a))) a))) (pow.f64 a #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (/.f64 (.f64 x x) a) #s(literal -1/2 binary64))) a))) (.f64 a a)))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/24 binary64) (.f64 (.f64 a a) #s(literal 1/6 binary64))) x (*.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* 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 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x a) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#s(approx (* (pow x 3) 1/6) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#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 (* x x) (*.f64 x x))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (*.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 a (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 a (.f64 x x)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 a a) x) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 a a) x) #s(literal 1/6 binary64) (fma.f64 (/.f64 a (*.f64 x x)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (/.f64 a x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (.f64 a a) #s(literal 1/24 binary64) (fma.f64 (/.f64 a x) #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) (*.f64 (fma.f64 #s(literal 1/24 binary64) a (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 a a) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) a) (.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a a))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) a) x) (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/24 binary64) (neg.f64 (/.f64 (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))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* (pow x 4) a) 1/24) (* (pow x 3) 1/6)) a) (* (* x x) 1/2)) (.f64 (fma.f64 (.f64 a a) #s(literal 1/24 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 #s(literal 1/2 binary64) x)) x))) (pow.f64 x #s(literal 4 binary64))))

eval26.0ms (1.5%)

Memory: -12.4MiB live, 33.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 9 607 to 1 141 computations (88.1% saved)

prune315.0ms (18.2%)

Memory

-2.0MiB live, 336.4MiB allocated; 27ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	205	2	207

Accuracy

100.0%

Counts

207 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
✓	55.6%	#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))

Status

Accuracy

Program

▶

100.0%

(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

✓

55.6%

#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))

Compiler

Compiled 36 to 27 computations (25% saved)

series3.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

5 → 11

Calls

Call 1

Inputs
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(fma.f64 x a #s(literal 0 binary64))
x
a
#s(literal 0 binary64)

Outputs
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (+ (* x a) 0)) 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) 0) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (+ (* x a) 0)) 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))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (exp (+ (* x a) 0)) 1) (+ (* x a) 0) x a 0)
1.0ms	a	@	-inf	((- (exp (+ (* x a) 0)) 1) (+ (* x a) 0) x a 0)
0.0ms	a	@	inf	((- (exp (+ (* x a) 0)) 1) (+ (* x a) 0) x a 0)
0.0ms	x	@	inf	((- (exp (+ (* x a) 0)) 1) (+ (* x a) 0) x a 0)
0.0ms	a	@	0	((- (exp (+ (* x a) 0)) 1) (+ (* x a) 0) x a 0)

rewrite38.0ms (2.2%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	197
0	79	184
0	444	172

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

16 → 26

Calls

Call 1

Inputs
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(fma.f64 x a #s(literal 0 binary64))
x
a
#s(literal 0 binary64)
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (+ (* x a) 0)) 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) 0) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (+ (* x a) 0)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (+ (* x a) 0)) 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))

Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(/.f64 (-.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 0 binary64)) (-.f64 (.f64 a x) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 a x) #s(literal 0 binary64)))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
x
a
#s(literal 0 binary64)
#s(approx (- (exp (+ (* x a) 0)) 1) (*.f64 a x))
#s(approx (- (exp (+ (* x a) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (+ (* x a) 0)) 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 (+ (* x a) 0)) 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) 0) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (+ (* x a) 0)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (+ (* x a) 0)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (+ (* x a) 0)) 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 (+ (* x a) 0)) 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)

eval8.0ms (0.5%)

Memory: -40.1MiB live, 6.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 341 to 101 computations (70.4% saved)

prune6.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Accuracy

100.0%

Counts

28 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
✓	55.6%	#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))

Status

Accuracy

Program

✓

100.0%

(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

✓

55.6%

#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))

Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes7.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Accuracy

Total -51.7b remaining (-441590.8%)

Threshold costs -51.7b (-441590.8%)

Counts

3 → 1

Calls

Call 1

Inputs

(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

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

#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))

Outputs
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
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)

simplify9.0ms (0.5%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

Outputs
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))

derivations15.0ms (0.9%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess18.0ms (1.1%)

Memory: -25.5MiB live, 21.1MiB allocated; 3ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 40 to 40 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze55.0ms (3.2%)

sample547.0ms (31.7%)

explain67.0ms (3.9%)

preprocess235.0ms (13.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.3%)

rewrite152.0ms (8.8%)

eval7.0ms (0.4%)

prune10.0ms (0.6%)

series18.0ms (1.1%)

rewrite187.0ms (10.8%)

eval26.0ms (1.5%)

prune315.0ms (18.2%)

series3.0ms (0.2%)

rewrite38.0ms (2.2%)

eval8.0ms (0.5%)

prune6.0ms (0.4%)

regimes7.0ms (0.4%)

simplify9.0ms (0.5%)

derivations15.0ms (0.9%)

preprocess18.0ms (1.1%)

end0.0ms (0%)

Profiling