Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze23.0ms (1.1%)

Memory

-1.4MiB live, 38.9MiB allocated; 11ms 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)

sample731.0ms (35.9%)

Memory

1.1MiB live, 503.2MiB allocated; 691ms collecting garbage

Samples

538.0ms	8 256×	0	valid
12.0ms	315×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult!: 63.0ms (51.9% of total)

ival-expm1: 56.0ms (46.1% of total)

adjust: 1.0ms (0.8% of total)

ival->: 1.0ms (0.8% of total)

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

Bogosity

preprocess74.0ms (3.6%)

Memory

-4.4MiB live, 41.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	60	40
2	126	40
3	483	40
4	6765	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite148.0ms (7.3%)

Memory

46.9MiB live, 136.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	321
0	87	321
1	526	321
0	5351	278

Stop Event

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

Counts

24 → 66

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

eval41.0ms (2%)

Memory: -38.4MiB live, 12.9MiB allocated; 84ms collecting garbage
Compiler: Compiled 448 to 197 computations (56% saved)

prune4.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Accuracy

100.0%

Counts

61 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
	50.6%	(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
✓	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 126 to 114 computations (9.5% saved)

series16.0ms (0.8%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

22 → 80

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))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
(expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))
(.f64 (.f64 x a) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
(exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* 3 (* a x))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))))
#s(approx (* (* x a) 3) #s(hole binary64 (* 3 (* a x))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 3))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (* 2 x))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (* 2 a))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	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 (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)) (* (* x a) 2) 2)
3.0ms	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 (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)) (* (* x a) 2) 2)
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)) (* (* x a) 2) 2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)) (* (* x a) 2) 2)
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)) (* (* x a) 2) 2)

rewrite230.0ms (11.3%)

Memory

-17.2MiB live, 208.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	2263
0	406	2048
1	2897	2048
0	10924	1928

Stop Event

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

Counts

102 → 252

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))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
(expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))
(.f64 (.f64 x a) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
(exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* 3 (* a x))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))))
#s(approx (* (* x a) 3) #s(hole binary64 (* 3 (* a x))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 3))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (* 2 x))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 1))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (* 2 a))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))

Outputs
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(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 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
x
a
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* x a)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))) (+.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 a) x) (.f64 (neg.f64 a) x) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 a x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 a x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) (.f64 a x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 a x) (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) (.f64 a x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
(/.f64 (-.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (-.f64 (.f64 a x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) (.f64 a x)))))
(/.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 a x)))
(neg.f64 (-.f64 (neg.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 a x))) (/.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(-.f64 (/.f64 (.f64 (.f64 a x) (.f64 a x)) (-.f64 (.f64 a x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) (.f64 a x))))) (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 #s(literal 1 binary64) (*.f64 a x))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x)) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (.f64 a x) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))) (-.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 a a) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))))
(fma.f64 (exp.f64 (.f64 (+.f64 a a) x)) (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 (+.f64 a a) x)) #s(literal -1 binary64))
(expm1.f64 (fma.f64 (+.f64 a a) x (*.f64 a x)))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (.f64 a x)))
(expm1.f64 (.f64 (log.f64 (exp.f64 (.f64 a x))) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 a x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal 1 binary64))
(+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 3 binary64) a) x)
(.f64 #s(literal 3 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) a))
(fma.f64 a x (*.f64 (+.f64 a a) x))
(fma.f64 x a (*.f64 (+.f64 a a) x))
(+.f64 (.f64 a x) (.f64 (+.f64 a a) x))
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (fma.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (-.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x))))))
(neg.f64 (-.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 a a) x))))
(fma.f64 (fabs.f64 (exp.f64 (.f64 a x))) (fabs.f64 (exp.f64 (.f64 a x))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 (.f64 a x))) (neg.f64 (exp.f64 (.f64 a x))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x)))) (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x)))))
(-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x)))))) (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x)))))))
(+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(+.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 a x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (expm1.f64 (.f64 a x))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (expm1.f64 (.f64 a x)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x))))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (expm1.f64 (.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 a x))
#s(literal -1 binary64)
(.f64 (fabs.f64 (exp.f64 (.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))))
(.f64 (neg.f64 (exp.f64 (.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))
(.f64 (exp.f64 (.f64 a x)) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (*.f64 (exp.f64 a) (exp.f64 a)) x)
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) a)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (sinh.f64 (.f64 (+.f64 a a) x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 a x)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 a x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(.f64 #s(literal 2 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(*.f64 x (+.f64 a a))
(fma.f64 a x (*.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a x))
#s(literal 2 binary64)
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) 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 (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 a (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) a (.f64 #s(literal 3/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 3 binary64) x))) x) a))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 9/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) (.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) x) #s(literal 1/3 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) a (.f64 #s(literal 3/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 3 binary64) x))) a x) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 #s(literal 3 binary64) (.f64 a x)))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 3 binary64) x)) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 #s(literal 9/2 binary64) (fma.f64 (.f64 (.f64 x x) x) a (.f64 x x))) a (.f64 #s(literal 3 binary64) x)) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 27/8 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 #s(literal 9/2 binary64) (.f64 x x))) a (*.f64 #s(literal 3 binary64) x)) a))
#s(approx (* (* x a) 3) (.f64 #s(literal 3 binary64) (.f64 a x)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(literal 3 binary64))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (*.f64 #s(literal 3 binary64) x) a #s(literal 3 binary64)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (fma.f64 #s(literal 3 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 5/2 binary64)) a)) a #s(literal 3 binary64)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (fma.f64 #s(literal 3 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 5/2 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) a)) a)) a #s(literal 3 binary64)))
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 2 binary64)))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) #s(literal 1 binary64))
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64)))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* x a)) (exp.f64 (*.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 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (.f64 a x))) #s(literal 1 binary64))))
#s(approx (- (exp (* (* x a) 3)) 1) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 a x))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (.f64 a x))) #s(literal 1 binary64)))
#s(approx (- (exp (* x a)) -1) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
#s(approx (exp (* x a)) (exp.f64 (*.f64 a x)))
#s(approx (exp (* (* x a) 2)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx x x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 1/24 binary64))) x (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal 3 binary64) a) a))) x a) x))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 x (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) x (.f64 (.f64 a a) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) a) (.f64 #s(literal 3 binary64) a))) a) x))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 9/8 binary64)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 #s(literal 3 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) (.f64 (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) a) #s(literal 1/3 binary64)))) (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64))) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) x (.f64 (.f64 a a) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 3 binary64) a))) x a) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 9/2 binary64) (.f64 #s(literal 3 binary64) a)) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 #s(literal 9/2 binary64) (fma.f64 (.f64 (.f64 a a) a) x (.f64 a a))) x (.f64 #s(literal 3 binary64) a)) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 9/2 binary64) (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) x) #s(literal 27/8 binary64))) x (.f64 (.f64 a a) #s(literal 9/2 binary64))) x (*.f64 #s(literal 3 binary64) a)) x))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (*.f64 #s(literal 3 binary64) a) x #s(literal 3 binary64)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (fma.f64 #s(literal 3 binary64) a (.f64 (.f64 (*.f64 a a) #s(literal 5/2 binary64)) x)) x #s(literal 3 binary64)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (fma.f64 #s(literal 3 binary64) a (.f64 (fma.f64 (.f64 a a) #s(literal 5/2 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) x)) x)) x #s(literal 3 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 2 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 4/3 binary64)) x (.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))

eval30.0ms (1.5%)

Memory: 2.6MiB live, 46.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 825 to 970 computations (65.7% saved)

prune6.0ms (0.3%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	230	3	233
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	232	8	240

Accuracy

100.0%

Counts

240 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
▶	50.6%	(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
✓	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.2%	(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 73 to 70 computations (4.1% saved)

series27.0ms (1.3%)

Memory

-11.2MiB live, 33.8MiB allocated; 7ms collecting garbage

Counts

23 → 97

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (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) 1) #s(hole binary64 1))
#s(approx (+ (* a x) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 1))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* 3 (* a x))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))))
#s(approx (* (* x a) 3) #s(hole binary64 (* 3 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 3))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (* 2 x))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* -2 (* a x)) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* -2 (* a (pow x 2))) (* 2 x))) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x))) 2)))
#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 (+ (* a x) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* a x) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 (* a x)))))))
#s(approx (+ (* a x) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (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))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (* 2 a))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* -2 (* (pow a 2) x)) (* 2 a))) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a))) 2)))
#s(approx (+ (* a x) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* a x) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (* a x) a x 1 (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (exp (* a x)) -1) (exp (* a x)) -1 (/ 1 (- (exp (* a x)) -1)) (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) (* x a) 3 (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (- -1 (exp (* (+ a a) x))))
6.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (* a x) a x 1 (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (exp (* a x)) -1) (exp (* a x)) -1 (/ 1 (- (exp (* a x)) -1)) (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) (* x a) 3 (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (- -1 (exp (* (+ a a) x))))
4.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (* a x) a x 1 (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (exp (* a x)) -1) (exp (* a x)) -1 (/ 1 (- (exp (* a x)) -1)) (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) (* x a) 3 (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (- -1 (exp (* (+ a a) x))))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (* a x) a x 1 (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (exp (* a x)) -1) (exp (* a x)) -1 (/ 1 (- (exp (* a x)) -1)) (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) (* x a) 3 (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (- -1 (exp (* (+ a a) x))))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* a x) 1) (* a x) a x 1 (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (- (exp (* a x)) -1) (exp (* a x)) -1 (/ 1 (- (exp (* a x)) -1)) (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) (* x a) 3 (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (- -1 (exp (* (+ a a) x))))

rewrite267.0ms (13.1%)

Memory

21.2MiB live, 163.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	3726
0	669	3309
1	5167	3309
0	8343	3069

Stop Event

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

Counts

120 → 223

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
a
x
#s(literal 1 binary64)
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(exp.f64 (*.f64 a x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
(expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64)))
(.f64 (.f64 x a) #s(literal 3 binary64))
(*.f64 x a)
#s(literal 3 binary64)
(-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (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) 1) #s(hole binary64 1))
#s(approx (+ (* a x) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 1))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* 3 (* a x))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))))
#s(approx (* (* x a) 3) #s(hole binary64 (* 3 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 3))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (* 2 x))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* -2 (* a x)) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* -2 (* a (pow x 2))) (* 2 x))) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* a (- (* a (- (* -4/3 (* a (pow x 3))) (* 2 (pow x 2)))) (* 2 x))) 2)))
#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 (+ (* a x) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* a x) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 (* a x)))))))
#s(approx (+ (* a x) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (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))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (* 2 a))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* -2 (* (pow a 2) x)) (* 2 a))) 2)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 (* (pow a 3) x)) (* 2 (pow a 2)))) (* 2 a))) 2)))
#s(approx (+ (* a x) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* a x) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))

Outputs
(/.f64 (-.f64 (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.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)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) #s(literal 1 binary64)) (-.f64 (.f64 x a) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 x a))) (-.f64 #s(literal 1 binary64) (.f64 x a)))
(/.f64 (fma.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a)))))
(neg.f64 (-.f64 (neg.f64 (*.f64 x a)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x a)))
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 a x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))
(+.f64 #s(literal 1 binary64) (*.f64 x a))
(+.f64 (.f64 x a) (.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (.f64 x a) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 x a)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) a)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) x)
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
(+.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (sinh.f64 (.f64 (+.f64 a a) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 x a)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(.f64 #s(literal 2 binary64) (.f64 x a))
(.f64 (.f64 x a) #s(literal 2 binary64))
(*.f64 x (+.f64 a a))
(fma.f64 x a (*.f64 x a))
(fma.f64 a x (*.f64 x a))
(+.f64 (.f64 x a) (.f64 x a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 a a) (.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 a a) a)) (fma.f64 a a (-.f64 (.f64 a a) (*.f64 a a))))
(neg.f64 (-.f64 (neg.f64 a) a))
(+.f64 a a)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 x a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) (+.f64 x x)) (.f64 #s(literal 1 binary64) (exp.f64 (.f64 x a))))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) #s(literal -1 binary64)) (fma.f64 (exp.f64 (.f64 x a)) (exp.f64 (.f64 x a)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) x)
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))) (neg.f64 (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 x a)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (.f64 x a)) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 #s(literal 3 binary64) (*.f64 x a))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))))
(fma.f64 (pow.f64 (exp.f64 a) (+.f64 x x)) (pow.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (+.f64 x x)) (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (.f64 x a)))
(expm1.f64 (.f64 (log.f64 (exp.f64 (.f64 x a))) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a)))
(-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) #s(literal 1 binary64))
(+.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 3 binary64) a) x)
(.f64 #s(literal 3 binary64) (.f64 x a))
(.f64 (.f64 x a) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) a))
(fma.f64 x a (*.f64 (+.f64 a a) x))
(fma.f64 a x (*.f64 (+.f64 a a) x))
(+.f64 (.f64 x a) (.f64 (+.f64 a a) x))
(*.f64 x a)
(*.f64 a x)
#s(literal 3 binary64)
(/.f64 (-.f64 (pow.f64 (exp.f64 a) (+.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (.f64 x a)) (exp.f64 (.f64 x a)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 2 binary64)) (.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))))))
(neg.f64 (-.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (exp.f64 (.f64 x a))))
(-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))
(+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x)))
(+.f64 (exp.f64 (.f64 x a)) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 a a)) (+.f64 x x))) (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 (+.f64 a a)) (+.f64 x x)) (.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x))))))
(neg.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) 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 (.f64 x x) x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) 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 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 (.f64 (.f64 x x) x) 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) 1) #s(literal 1 binary64))
#s(approx (+ (* a x) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (*.f64 x a))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x))) a x) a))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 a (-.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (fma.f64 a (-.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x))))) (.f64 x x))) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) x) a))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64))) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)))))))))) a))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x))))) a (.f64 x x)) (.f64 (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) a))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)))))) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (exp (* (+ a a) x)) #s(literal 1 binary64))
#s(approx (exp (* (+ a a) x)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64)))
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x))
#s(approx (+ a a) (+.f64 a a))
#s(approx (- (exp (* a x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* a x)) -1) (fma.f64 x a #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x a) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (neg.f64 a) (.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 a) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64)))) (.f64 (.f64 x x) #s(literal 0 binary64))) a (.f64 #s(literal -1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (*.f64 x a))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 a (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) a (.f64 #s(literal 3/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 3 binary64) x))) x) a))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9/8 binary64)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) (.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))) (.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) x) #s(literal 1/3 binary64)))) (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 5/2 binary64)) x (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3/2 binary64) (.f64 x x) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x))))))) a (.f64 #s(literal 3/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 3 binary64) x))) a x) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 #s(literal 3 binary64) (.f64 x a)))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 3 binary64) x)) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 #s(literal 9/2 binary64) (fma.f64 (.f64 (.f64 x x) x) a (.f64 x x))) a (.f64 #s(literal 3 binary64) x)) a))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 27/8 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 #s(literal 9/2 binary64) (.f64 x x))) a (*.f64 #s(literal 3 binary64) x)) a))
#s(approx (* (* x a) 3) (.f64 #s(literal 3 binary64) (.f64 x a)))
#s(approx (* a x) (*.f64 x a))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) #s(literal 3 binary64))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) a #s(literal 3 binary64)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal 5/2 binary64)) a)) a #s(literal 3 binary64)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 5/2 binary64) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) x)) a)) a)) a #s(literal 3 binary64)))
#s(approx (- -1 (exp (* (+ a a) x))) #s(literal -2 binary64))
#s(approx (- -1 (exp (* (+ a a) x))) (fma.f64 #s(literal -2 binary64) (*.f64 x a) #s(literal -2 binary64)))
#s(approx (- -1 (exp (* (+ a a) x))) (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a)))) a #s(literal -2 binary64)))
#s(approx (- -1 (exp (* (+ a a) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) a) (.f64 (.f64 x x) x) (.f64 #s(literal -2 binary64) (.f64 x x))) a (.f64 #s(literal -2 binary64) x)) a #s(literal -2 binary64)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 x a)))
#s(approx (+ (* a x) 1) (*.f64 x a))
#s(approx (+ (* a x) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
#s(approx (exp (* (+ a a) x)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* a x)) -1) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (exp.f64 (.f64 x a)))))
#s(approx (- (exp (* (* x a) 3)) 1) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x a))))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (+.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (exp.f64 (.f64 x a))))
#s(approx (- -1 (exp (* (+ a a) x))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
#s(approx (+ (* a x) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 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 (.f64 (.f64 a a) a) 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 (.f64 a a) a) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) 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 (.f64 (.f64 a a) a) 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)
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 a a) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a))) x a) x))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 x (-.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (fma.f64 x (-.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64)))) (.f64 a a))) (.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64))) a) x))
#s(approx (- (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 a a) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64))) a) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 0 binary64)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 a a) a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64))))))))) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64)))) x (.f64 a a)) (.f64 (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64)))) x a) x))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) x a) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (exp (* (+ a a) x)) (- (exp (* a x)) -1)) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64))))) (.f64 a a)) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 4/3 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 a a) #s(literal 0 binary64)) (*.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64)))) (.f64 (.f64 a a) #s(literal 0 binary64))) x (.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (*.f64 #s(literal 3 binary64) a) a))) x a) x))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 x (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) x (.f64 (.f64 a a) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) a) (.f64 #s(literal 3 binary64) a))) a) x))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (- (exp (* a x)) (- -1 (exp (* (+ a a) x))))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 9/8 binary64)) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 #s(literal 3 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) (.f64 (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))) (.f64 (.f64 a a) #s(literal 5/2 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) a) #s(literal 1/3 binary64)))) (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64))) (.f64 #s(literal 1/3 binary64) (fma.f64 (.f64 (.f64 a a) #s(literal 5/2 binary64)) a (.f64 (.f64 #s(literal 3 binary64) a) (fma.f64 (.f64 a a) #s(literal 3/2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (.f64 #s(literal 3 binary64) a) a))))))) x (.f64 (.f64 a a) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) a) (*.f64 #s(literal 3 binary64) a))) x a) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 9/2 binary64) (.f64 #s(literal 3 binary64) a)) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (.f64 #s(literal 9/2 binary64) (fma.f64 (.f64 (.f64 a a) a) x (.f64 a a))) x (.f64 #s(literal 3 binary64) a)) x))
#s(approx (- (exp (* (* x a) 3)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 9/2 binary64) (.f64 (.f64 #s(literal 27/8 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) x (.f64 (.f64 a a) #s(literal 9/2 binary64))) x (*.f64 #s(literal 3 binary64) a)) x))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (*.f64 #s(literal 3 binary64) a) x #s(literal 3 binary64)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) a (.f64 (.f64 (*.f64 a a) #s(literal 5/2 binary64)) x)) x #s(literal 3 binary64)))
#s(approx (- (exp (* a x)) (- -1 (exp (* (+ a a) x)))) (fma.f64 (fma.f64 #s(literal 3 binary64) a (.f64 (fma.f64 (.f64 a a) #s(literal 5/2 binary64) (.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 3/2 binary64)) x)) x)) x #s(literal 3 binary64)))
#s(approx (- -1 (exp (* (+ a a) x))) (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x)))) x #s(literal -2 binary64)))
#s(approx (- -1 (exp (* (+ a a) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) (.f64 (.f64 a a) a)) x (.f64 #s(literal -2 binary64) (.f64 a a))) x (.f64 #s(literal -2 binary64) a)) x #s(literal -2 binary64)))
#s(approx (+ (* a x) 1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (+ (* a x) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))

eval45.0ms (2.2%)

Memory: 2.7MiB live, 47.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 091 to 1 138 computations (63.2% saved)

prune7.0ms (0.4%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	239	9	248

Accuracy

100.0%

Counts

248 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
▶	50.6%	(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
✓	50.6%	(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
✓	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 90 to 84 computations (6.7% saved)

series16.0ms (0.8%)

Memory

-37.6MiB live, 13.9MiB allocated; 15ms collecting garbage

Counts

14 → 48

Calls

Call 1

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

Outputs
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 1))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#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 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 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 (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	((- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (pow (exp 2) (* x a)) (exp 2) 2 (* x a) x a (- (exp (* a x)) -1) (exp (* a x)) (* a x) -1 (/ 1 (- (exp (* a x)) -1)) 1)
1.0ms	x	@	-inf	((- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (pow (exp 2) (* x a)) (exp 2) 2 (* x a) x a (- (exp (* a x)) -1) (exp (* a x)) (* a x) -1 (/ 1 (- (exp (* a x)) -1)) 1)
1.0ms	a	@	inf	((- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (pow (exp 2) (* x a)) (exp 2) 2 (* x a) x a (- (exp (* a x)) -1) (exp (* a x)) (* a x) -1 (/ 1 (- (exp (* a x)) -1)) 1)
1.0ms	x	@	inf	((- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (pow (exp 2) (* x a)) (exp 2) 2 (* x a) x a (- (exp (* a x)) -1) (exp (* a x)) (* a x) -1 (/ 1 (- (exp (* a x)) -1)) 1)
1.0ms	a	@	0	((- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (pow (exp 2) (* x a)) (exp 2) 2 (* x a) x a (- (exp (* a x)) -1) (exp (* a x)) (* a x) -1 (/ 1 (- (exp (* a x)) -1)) 1)

rewrite183.0ms (9%)

Memory

7.9MiB live, 213.2MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	2003
0	363	1773
1	2848	1773
0	8215	1643

Stop Event

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

Counts

62 → 147

Calls

Call 1

Inputs
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x a)
x
a
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a x)))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 2/3 (pow x 3)))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* a (+ x (* a (- (+ (* -1/8 (pow x 2)) (+ (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 2/3 (pow x 3)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (* 1/3 (pow x 4))))) (+ (* 1/12 (* (pow x 3) (- x (* 1/4 x)))) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))))))))))) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x))))))))))) (pow x 2))) (* 1/2 (* x (- x (* 1/4 x))))))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- x (* 1/4 x))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/4 (* (pow x 2) (- x (* 1/4 x)))) (* 1/2 (* x (- (pow x 2) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))))))) (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (* x (- x (* 1/4 x)))))))) (* 1/4 x))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 1))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#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 2))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 1/2))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* -1/4 (* a x)))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* -1 (* a (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (* 1/4 x))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (- (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x)))) (/ 1 (+ 1 (exp (* a x)))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (/ (exp (* 2 (* a x))) (+ 1 (exp (* a x))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (/ 1 (+ 1 (exp (* a x))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 2/3 (pow a 3)))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) #s(hole binary64 (* x (+ a (* x (- (+ (* -1/8 (pow a 2)) (+ (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 2/3 (pow a 3)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (* 1/3 (pow a 4))))) (+ (* 1/12 (* (pow a 3) (- a (* 1/4 a)))) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))))))))))) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a))))))))))) (pow a 2))) (* 1/2 (* a (- a (* 1/4 a))))))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- a (* 1/4 a))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/4 (* (pow a 2) (- a (* 1/4 a)))) (* 1/2 (* a (- (pow a 2) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))))))) (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (* a (- a (* 1/4 a)))))))) (* 1/4 a))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (pow (exp 2) (* x a)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* a x)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 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 (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(hole binary64 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (* 1/4 a))))))

Outputs
(/.f64 (-.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (exp.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)) (exp.f64 (.f64 (+.f64 a a) x)))))
(+.f64 (/.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 (sinh.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a x) #s(literal 2 binary64))))) (fabs.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))))
(.f64 (fabs.f64 (exp.f64 (.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))))
(.f64 (neg.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a x) #s(literal 2 binary64))))) (neg.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64))))))
(.f64 (neg.f64 (exp.f64 (.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a x) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (*.f64 a x) #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 a x)) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (.f64 a x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 a) (exp.f64 a)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) x)
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 (+.f64 x x)) a)
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 a x) #s(literal 2 binary64)) (/.f64 (.f64 a x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(+.f64 (cosh.f64 (.f64 (+.f64 a a) x)) (sinh.f64 (.f64 (+.f64 a a) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) a))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 #s(literal 4 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a x)
(*.f64 x a)
x
a
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 a x)))))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 a x))
(*.f64 a x)
(*.f64 x a)
#s(literal -1 binary64)
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))) #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (*.f64 a x))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x))) a x) a))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 a (-.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (fma.f64 a (-.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) (.f64 x x))) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) x) a))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/8 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 x x) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))))))) a))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64)))) a (.f64 x x)) (.f64 (.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) a))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) a x) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 a (-.f64 (fma.f64 a (-.f64 (fma.f64 a (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) #s(literal 1/2 binary64))))) (.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (.f64 x x) (.f64 (.f64 (-.f64 x (.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)))) x) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (pow (exp 2) (* x a)) #s(literal 1 binary64))
#s(approx (pow (exp 2) (* x a)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (pow (exp 2) (* x a)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (pow (exp 2) (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) a) #s(literal 4/3 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64)))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* a x)) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 2 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #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 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) a) (.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64)))
#s(approx (* x a) (*.f64 a x))
#s(approx (/ 1 (- (exp (* a x)) -1)) #s(literal 1/2 binary64))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 #s(literal -1/4 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) a)) (.f64 #s(literal 1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) x) #s(literal -1/2 binary64))) a)) (.f64 (.f64 x x) #s(literal 0 binary64))) a (.f64 #s(literal -1/4 binary64) x)) a #s(literal 1/2 binary64)))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
#s(approx (pow (exp 2) (* x a)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* a x)) -1) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 a a) (.f64 #s(literal -1/2 binary64) (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a))) x a) x))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 x (-.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (fma.f64 x (-.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64)))) (.f64 a a))) (.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64))) a) x))
#s(approx (- (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (/ 1 (- (exp (* a x)) -1))) (.f64 (fma.f64 (fma.f64 (.f64 a a) #s(literal -1/8 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 a a) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 29/48 binary64) (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) a) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 a a)) (.f64 (.f64 a a) #s(literal 0 binary64)) (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 5/16 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 a a) a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64))))))))) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64)))) x (.f64 a a)) (.f64 (.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64)))) x a) x))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 a (*.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) x a) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ (pow (exp 2) (* x a)) (- (exp (* a x)) -1)) (fma.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 (.f64 a a) a) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (-.f64 a (.f64 #s(literal 1/4 binary64) a)) (.f64 (.f64 (-.f64 (.f64 a a) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) #s(literal 1/2 binary64))))) (.f64 a a)) (fma.f64 (.f64 (-.f64 a (.f64 #s(literal 1/4 binary64) a)) a) #s(literal 1/2 binary64) (.f64 (.f64 a a) #s(literal 1/8 binary64)))) a) (*.f64 #s(literal 1/4 binary64) a)) #s(literal 1/2 binary64)))
#s(approx (pow (exp 2) (* x a)) (fma.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (pow (exp 2) (* x a)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 4/3 binary64) (.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* a x)) -1) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 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 (.f64 (.f64 a a) a) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) x)) (.f64 #s(literal 1/4 binary64) a)) x #s(literal 1/2 binary64)))
#s(approx (/ 1 (- (exp (* a x)) -1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal -1/48 binary64) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 0 binary64)) a) #s(literal -1/2 binary64))) x)) (.f64 (.f64 a a) #s(literal 0 binary64))) x (.f64 #s(literal -1/4 binary64) a)) x #s(literal 1/2 binary64)))

eval26.0ms (1.3%)

Memory: -18.5MiB live, 26.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 335 to 718 computations (69.3% saved)

prune6.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	130	10	140

Accuracy

100.0%

Counts

140 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
	50.6%	(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))
✓	50.6%	(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
✓	50.6%	(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
✓	50.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	69.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 197 to 153 computations (22.3% saved)

regimes17.0ms (0.8%)

Memory

16.9MiB live, 16.9MiB 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))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.4%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

4 → 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))
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))

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

Calls

5 calls:

2.0ms	x
2.0ms	a
2.0ms	(*.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
69.0%	1	`(*.f64 a x)`
69.0%	1	`(exp.f64 (*.f64 a x))`
69.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.0%	1	`a`
69.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes45.0ms (2.2%)

Memory

-37.9MiB live, 8.8MiB allocated; 3ms 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:

41.0ms	(*.f64 a x)
1.0ms	x
1.0ms	a
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
17.9%	1	`a`
17.9%	1	`x`
17.9%	1	`(*.f64 a x)`
17.9%	1	`(exp.f64 (*.f64 a x))`
17.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations52.0ms (2.6%)

Memory

0.0MiB live, 44.3MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess30.0ms (1.4%)

Memory: 4.0MiB live, 54.8MiB allocated; 13ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 63 to 60 computations (4.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze23.0ms (1.1%)

sample731.0ms (35.9%)

preprocess74.0ms (3.6%)

series5.0ms (0.2%)

rewrite148.0ms (7.3%)

eval41.0ms (2%)

prune4.0ms (0.2%)

series16.0ms (0.8%)

rewrite230.0ms (11.3%)

eval30.0ms (1.5%)

prune6.0ms (0.3%)

series27.0ms (1.3%)

rewrite267.0ms (13.1%)

eval45.0ms (2.2%)

prune7.0ms (0.4%)

series16.0ms (0.8%)

rewrite183.0ms (9%)

eval26.0ms (1.3%)

prune6.0ms (0.3%)

regimes17.0ms (0.8%)

regimes8.0ms (0.4%)

regimes45.0ms (2.2%)

derivations52.0ms (2.6%)

preprocess30.0ms (1.4%)

end0.0ms (0%)

Profiling