Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze17.0ms (1.1%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample568.0ms (36.3%)

Memory

26.9MiB live, 432.6MiB allocated; 83ms collecting garbage

Samples

388.0ms	8 256×	0	valid
11.0ms	297×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-expm1: 100.0ms (63.8% of total)

ival-mult!: 54.0ms (34.4% of total)

adjust: 2.0ms (1.3% of total)

ival->: 2.0ms (1.3% of total)

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

Bogosity

preprocess52.0ms (3.3%)

Memory

-19.9MiB live, 24.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	46	42
2	87	42
3	283	42
4	3581	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

6 → 17

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 #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)

rewrite115.0ms (7.3%)

Memory

28.6MiB live, 73.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	314
0	86	314
1	480	314
0	4428	271

Stop Event

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

Counts

23 → 55

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 #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 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)

eval5.0ms (0.3%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 365 to 172 computations (52.9% saved)

prune4.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Accuracy

100.0%

Counts

50 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	59.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	64.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 100 to 98 computations (2% saved)

series87.0ms (5.6%)

Memory

-56.4MiB live, 10.6MiB allocated; 84ms collecting garbage

Counts

17 → 32

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite184.0ms (11.7%)

Memory

10.8MiB live, 105.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	642
0	165	623
1	842	611
0	6965	590

Stop Event

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

Counts

49 → 291

Calls

Call 1

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

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

eval26.0ms (1.6%)

Memory: 32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 554 to 1 033 computations (59.6% saved)

prune11.0ms (0.7%)

Memory

-36.4MiB live, 9.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	279	6	285

Accuracy

100.0%

Counts

285 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	59.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	64.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 50 to 49 computations (2% saved)

series10.0ms (0.6%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

10 → 32

Calls

Call 1

Inputs
(/.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))
(*.f64 x a)
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)

Outputs
#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 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 (/ (- (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 (/ (- (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 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
3.0ms	a	@	0	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
1.0ms	x	@	0	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
1.0ms	x	@	-inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
1.0ms	a	@	-inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
1.0ms	a	@	inf	((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1)

rewrite157.0ms (10%)

Memory

15.2MiB live, 107.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	936
0	220	928
1	1378	865
0	8103	797

Stop Event

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

Counts

42 → 85

Calls

Call 1

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

eval9.0ms (0.6%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 047 to 396 computations (62.2% saved)

prune4.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	79	7	86

Accuracy

100.0%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.6%	(/.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)))))
▶	100.0%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	59.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	64.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 67 to 66 computations (1.5% saved)

series22.0ms (1.4%)

Memory

-28.8MiB live, 17.0MiB allocated; 3ms collecting garbage

Counts

22 → 80

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

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) #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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))))
#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))))
#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #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 (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (+ (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))) (- (* 2 x) (* -1 x))))))))) (+ (* 1/3 (* x (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* 1/3 (* (- (* 3/2 (pow x 2)) (* 1/3 (* x (- (* 2 x) (* -1 x))))) (- (* 2 x) (* -1 x)))))))) (* 1/3 (* x (- (* 2 x) (* -1 x))))))))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (* 3 (* a x))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (+ (exp (* (* a x) 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 (exp (* (* a x) 3)) #s(hole binary64 (+ 1 (* 3 (* a x)))))
#s(approx (exp (* (* a x) 3)) #s(hole binary64 (+ 1 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2))))))))
#s(approx (exp (* (* a x) 3)) #s(hole binary64 (+ 1 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2)))))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 3))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* a (- (* 2 x) (* -1 x))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* a (- (+ (* 2 x) (* a (- (* 2 (pow x 2)) (* -1/2 (pow x 2))))) (* -1 x))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* a (- (+ (* 2 x) (* a (- (+ (* 2 (pow x 2)) (* a (- (* 4/3 (pow x 3)) (* -1/6 (pow x 3))))) (* -1/2 (pow x 2))))) (* -1 x))))))
#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 (- 1 (* (exp (* a x)) -1)) #s(hole binary64 (+ 2 (* a (- (* 1/2 (* a (pow x 2))) (* -1 x))))))
#s(approx (- 1 (* (exp (* a x)) -1)) #s(hole binary64 (+ 2 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* -1/2 (pow x 2)))) (* -1 x))))))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 -1))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (- (* -1 (* a x)) 1)))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (- (* a (+ (* -1 x) (* -1/2 (* a (pow x 2))))) 1)))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (- (* a (+ (* -1 x) (* a (+ (* -1/2 (pow x 2)) (* -1/6 (* a (pow x 3))))))) 1)))
#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 x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x)))))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (exp (* (* a x) 3)) #s(hole binary64 (exp (* 3 (* a x)))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (- (+ 1 (exp (* 2 (* a x)))) (* -1 (exp (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (- 1 (* (exp (* a x)) -1)) #s(hole binary64 (- 1 (* -1 (exp (* a x))))))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (* -1 (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)))))))))
#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))))
#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))))
#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) #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 (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (+ (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))) (- (* 2 a) (* -1 a))))))))) (+ (* 1/3 (* a (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* 1/3 (* (- (* 3/2 (pow a 2)) (* 1/3 (* a (- (* 2 a) (* -1 a))))) (- (* 2 a) (* -1 a)))))))) (* 1/3 (* a (- (* 2 a) (* -1 a))))))))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (+ (exp (* (* a x) 3)) -1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (+ (exp (* (* a x) 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) 3)) #s(hole binary64 (+ 1 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x)))))))
#s(approx (exp (* (* a x) 3)) #s(hole binary64 (+ 1 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2)))))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* x (- (* 2 a) (* -1 a))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* x (- (+ (* 2 a) (* x (- (* 2 (pow a 2)) (* -1/2 (pow a 2))))) (* -1 a))))))
#s(approx (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) #s(hole binary64 (+ 3 (* x (- (+ (* 2 a) (* x (- (+ (* 2 (pow a 2)) (* x (- (* 4/3 (pow a 3)) (* -1/6 (pow a 3))))) (* -1/2 (pow a 2))))) (* -1 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 (- 1 (* (exp (* a x)) -1)) #s(hole binary64 (+ 2 (* x (- (* 1/2 (* (pow a 2) x)) (* -1 a))))))
#s(approx (- 1 (* (exp (* a x)) -1)) #s(hole binary64 (+ 2 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* -1/2 (pow a 2)))) (* -1 a))))))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (- (* x (+ (* -1 a) (* -1/2 (* (pow a 2) x)))) 1)))
#s(approx (* (exp (* a x)) -1) #s(hole binary64 (- (* x (+ (* -1 a) (* x (+ (* -1/2 (pow a 2)) (* -1/6 (* (pow a 3) x)))))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (+ (exp (* (* a x) 3)) -1) (exp (* (* a x) 3)) (* (* a x) 3) (* a x) 3 (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)) 1 (* (exp (* a x)) -1) (exp (* a x)))
3.0ms	a	@	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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (+ (exp (* (* a x) 3)) -1) (exp (* (* a x) 3)) (* (* a x) 3) (* a x) 3 (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)) 1 (* (exp (* a x)) -1) (exp (* a x)))
3.0ms	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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (+ (exp (* (* a x) 3)) -1) (exp (* (* a x) 3)) (* (* a x) 3) (* a x) 3 (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)) 1 (* (exp (* a x)) -1) (exp (* a x)))
3.0ms	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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (+ (exp (* (* a x) 3)) -1) (exp (* (* a x) 3)) (* (* a x) 3) (* a x) 3 (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)) 1 (* (exp (* a x)) -1) (exp (* a x)))
2.0ms	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 (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (+ (exp (* (* a x) 3)) -1) (exp (* (* a x) 3)) (* (* a x) 3) (* a x) 3 (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1))) (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)) 1 (* (exp (* a x)) -1) (exp (* a x)))

rewrite164.0ms (10.5%)

Memory

16.8MiB live, 112.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2844
0	523	2580
1	3479	2580
0	8581	2420

Stop Event

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

Counts

102 → 210

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

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

eval25.0ms (1.6%)

Memory: -18.7MiB live, 26.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 523 to 964 computations (61.8% saved)

prune7.0ms (0.4%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	201	2	203
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	202	8	210

Accuracy

100.0%

Counts

210 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (.f64 x a)))))
✓	100.0%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	99.9%	#s(approx (/ (+ (exp (* (* a x) 3)) -1) (+ (exp (* (+ a a) x)) (- 1 (* (exp (* a x)) -1)))) (/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (+.f64 (exp.f64 (.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (.f64 x a))))))
✓	59.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
✓	64.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 201 to 163 computations (18.9% saved)

regimes15.0ms (0.9%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
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

10.0MiB live, 10.0MiB 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:

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
64.9%	1	`(*.f64 a x)`
64.9%	1	`(exp.f64 (*.f64 a x))`
64.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.9%	1	`a`
64.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.6%)

Memory

-38.7MiB live, 8.2MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.0%	1	`a`
20.0%	1	`x`
20.0%	1	`(*.f64 a x)`
20.0%	1	`(exp.f64 (*.f64 a x))`
20.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations40.0ms (2.6%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess26.0ms (1.7%)

Memory: -4.7MiB live, 41.0MiB allocated; 5ms 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%)

analyze17.0ms (1.1%)

sample568.0ms (36.3%)

preprocess52.0ms (3.3%)

series5.0ms (0.3%)

rewrite115.0ms (7.3%)

eval5.0ms (0.3%)

prune4.0ms (0.2%)

series87.0ms (5.6%)

rewrite184.0ms (11.7%)

eval26.0ms (1.6%)

prune11.0ms (0.7%)

series10.0ms (0.6%)

rewrite157.0ms (10%)

eval9.0ms (0.6%)

prune4.0ms (0.2%)

series22.0ms (1.4%)

rewrite164.0ms (10.5%)

eval25.0ms (1.6%)

prune7.0ms (0.4%)

regimes15.0ms (0.9%)

regimes7.0ms (0.4%)

regimes9.0ms (0.6%)

derivations40.0ms (2.6%)

preprocess26.0ms (1.7%)

end0.0ms (0%)

Profiling