Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze595.0ms (30.5%)

Memory

-340.9MiB live, 246.7MiB allocated; 1.0s 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)

sample632.0ms (32.4%)

Memory

61.3MiB live, 1 015.8MiB allocated; 176ms collecting garbage

Samples

430.0ms	8 256×	0	valid
13.0ms	325×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult!: 92.0ms (54.5% of total)

ival-expm1: 73.0ms (43.3% of total)

adjust: 2.0ms (1.2% of total)

ival->: 2.0ms (1.2% of total)

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

Bogosity

preprocess52.0ms (2.7%)

Memory

-24.5MiB live, 28.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(-.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

17.6MiB live, 17.6MiB 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)

rewrite138.0ms (7%)

Memory

16.2MiB live, 298.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

24 → 56

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: -28.6MiB live, 17.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 370 to 175 computations (52.7% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	5	51

Accuracy

100.0%

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	66.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 76 to 74 computations (2.6% saved)

series74.0ms (3.8%)

Memory

-6.5MiB live, 47.4MiB allocated; 90ms collecting garbage

Counts

18 → 64

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 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#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)) 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#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 (+ (* 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 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 (+ (* 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
63.0ms	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) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
3.0ms	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) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	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) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
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) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)

rewrite165.0ms (8.4%)

Memory

-5.4MiB live, 280.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1542
0	299	1490
1	1721	1490
0	8081	1389

Stop Event

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

Counts

82 → 169

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 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#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)) 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#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 (+ (* 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) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 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 (+ (* 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 (-.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 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.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))) (fma.f64 (/.f64 #s(literal 1 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))) (.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 (neg.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))) (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 (neg.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 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))) (.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 3 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 (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)))
(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 x) #s(literal 3 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 #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 (/.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 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)))))
(-.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))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 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)))))
(-.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))
#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 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 a x) (pow.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 (.f64 (.f64 a (/.f64 #s(literal 1 binary64) a)) (.f64 a (/.f64 #s(literal 1 binary64) a))) (.f64 (.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 a x) (pow.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 (.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) 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 a x) (.f64 a x)))) (neg.f64 (-.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 (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 (-.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 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)))))
(/.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)))))
(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 (.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 (/.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 #s(literal 1 binary64) (*.f64 (neg.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 (/.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 #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 (-.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 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.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))) (fma.f64 (/.f64 #s(literal 1 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))) (.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 (neg.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal -1 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))) (.f64 (-.f64 (exp.f64 (.f64 a x)) #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 (-.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 (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 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 a x)))
(expm1.f64 (.f64 (log.f64 (exp.f64 (.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(*.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))
(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 a x) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (fma.f64 (.f64 a x) (.f64 a x) (-.f64 (.f64 (.f64 a x) (.f64 a x)) (.f64 (.f64 a x) (*.f64 a x)))))
(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)
(/.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 (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)))))
(/.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 (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 (/.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 a x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 a x)) (cosh.f64 (.f64 a x)) (-.f64 (.f64 (sinh.f64 (.f64 a x)) (sinh.f64 (.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 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 a x))
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (.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 (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 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 (* 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) 2)) 1) (- (exp (* x a)) -1)) (*.f64 a x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (.f64 x x) a))) a))
#s(approx (- (exp (* (* x a) 2)) 1) (.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(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 2/3 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#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 (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 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) 2)) 1) (- (exp (* x a)) -1)) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (*.f64 (+.f64 a a) x)))
#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 (+ (* x a) 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 x x)
#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 (* 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)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (.f64 a a) x))) x))
#s(approx (- (exp (* (* x a) 2)) 1) (.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(approx (- (exp (* (* x a) 2)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 4/3 binary64) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) x (.f64 (.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#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 (+ (* 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))))

eval16.0ms (0.8%)

Memory: 29.5MiB live, 29.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 859 to 652 computations (64.9% saved)

prune6.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	156	5	161

Accuracy

100.0%

Counts

161 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 37 to 37 computations (0% saved)

series7.0ms (0.4%)

Memory

-37.4MiB live, 9.9MiB allocated; 2ms collecting garbage

Counts

10 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite146.0ms (7.5%)

Memory

20.3MiB live, 158.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	963
0	227	955
1	1390	892
0	8012	824

Stop Event

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

Counts

45 → 92

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
a
x
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
(*.f64 x a)
#s(literal -1 binary64)
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#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 (* x a) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#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 (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#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)))))))))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.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 (/.f64 #s(literal 1 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 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 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 (+.f64 a a) x)) (-.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 (/.f64 #s(literal 1 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 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 x a) #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 x a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.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))) (.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (-.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 (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 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 x a)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(*.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))
(/.f64 (-.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 (.f64 x a) (.f64 x a))) (-.f64 (.f64 x a) (.f64 x a)))
(/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 x a) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x a) (.f64 x a) (-.f64 (.f64 (.f64 x a) (.f64 x a)) (.f64 (.f64 x a) (*.f64 x 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 (neg.f64 (-.f64 (.f64 a a) (.f64 a a))) (neg.f64 (-.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (.f64 a a) a (.f64 (.f64 a a) a))) (neg.f64 (fma.f64 a a (-.f64 (.f64 a a) (*.f64 a a)))))
(/.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))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a a)) (/.f64 (.f64 a a) (-.f64 a a)))
(+.f64 (/.f64 (.f64 (.f64 a a) a) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))) (/.f64 (.f64 (.f64 a a) a) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
(+.f64 a a)
a
x
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 (.f64 x a) #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 x a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 x a) #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 x a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (+.f64 a a) x))) (neg.f64 (+.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 (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 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x a)) #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 x a)) #s(literal -1 binary64))))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))) (-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)) (-.f64 (.f64 (sinh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))) (.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 x a))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(*.f64 x a)
(*.f64 a x)
#s(literal -1 binary64)
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (*.f64 x a))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 x x (.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) x) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) x) #s(literal 2/3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x)))) a (fma.f64 x x (.f64 #s(literal -1/2 binary64) (.f64 x x)))) a x) a))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* (+ a a) x)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x (.f64 (.f64 x x) a))) a))
#s(approx (- (exp (* (+ a a) x)) 1) (.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(approx (- (exp (* (+ a a) x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 2/3 binary64) a) (.f64 (.f64 x x) (.f64 x x)))) a (.f64 (.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x))
#s(approx (+ a a) (+.f64 a a))
#s(approx a a)
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 x a #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 #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 (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 x a #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 #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 x a))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -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)) 1) (expm1.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* x a)) -1) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 a a (.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 a a)) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a))) (.f64 (.f64 (.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (.f64 #s(literal -1/2 binary64) (.f64 a a)))) x a) x))
#s(approx (- (exp (* (+ a a) x)) 1) (.f64 (.f64 #s(literal 2 binary64) (+.f64 a (.f64 (.f64 a a) x))) x))
#s(approx (- (exp (* (+ a a) x)) 1) (.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(approx (- (exp (* (+ a a) x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) a) #s(literal 4/3 binary64) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 a a) (.f64 a a))) x)) x (.f64 (.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx x x)
#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)))

eval10.0ms (0.5%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 093 to 442 computations (59.6% saved)

prune4.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 73 to 66 computations (9.6% saved)

regimes12.0ms (0.6%)

Memory

-27.4MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

7 → 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))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))

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

Calls

5 calls:

4.0ms	a
2.0ms	x
2.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
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)

regimes7.0ms (0.4%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.6%	1	`(*.f64 a x)`
66.6%	1	`(exp.f64 (*.f64 a x))`
66.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.6%	1	`a`
66.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
21.1%	1	`(*.f64 a x)`
21.1%	1	`x`
21.1%	1	`(exp.f64 (*.f64 a x))`
21.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.1%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations45.0ms (2.3%)

Memory

-16.7MiB live, 39.0MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess25.0ms (1.3%)

Memory: -1.7MiB live, 45.2MiB allocated; 2ms 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%)

analyze595.0ms (30.5%)

sample632.0ms (32.4%)

preprocess52.0ms (2.7%)

series5.0ms (0.2%)

rewrite138.0ms (7%)

eval6.0ms (0.3%)

prune3.0ms (0.1%)

series74.0ms (3.8%)

rewrite165.0ms (8.4%)

eval16.0ms (0.8%)

prune6.0ms (0.3%)

series7.0ms (0.4%)

rewrite146.0ms (7.5%)

eval10.0ms (0.5%)

prune4.0ms (0.2%)

regimes12.0ms (0.6%)

regimes7.0ms (0.4%)

regimes5.0ms (0.2%)

derivations45.0ms (2.3%)

preprocess25.0ms (1.3%)

end0.0ms (0%)

Profiling