Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze38.0ms (1.7%)

Memory

-17.0MiB live, 26.7MiB allocated; 24ms 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)

sample832.0ms (38%)

Memory

-14.6MiB live, 802.2MiB allocated; 310ms collecting garbage

Samples

410.0ms	8 256×	0	valid
164.0ms	303×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-expm1: 212.0ms (74.1% of total)

ival-mult!: 71.0ms (24.8% of total)

adjust: 1.0ms (0.3% of total)

ival->: 1.0ms (0.3% of total)

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

Bogosity

preprocess119.0ms (5.4%)

Memory

-33.9MiB live, 47.8MiB allocated; 125ms 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
▶	56.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB 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	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite129.0ms (5.9%)

Memory

39.9MiB live, 174.8MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	314
0	86	314
1	480	314
0	4421	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)

eval19.0ms (0.9%)

Memory: -34.7MiB live, 24.1MiB allocated; 18ms collecting garbage
Compiler: Compiled 365 to 172 computations (52.9% saved)

prune3.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB 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
	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	64.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 116 to 110 computations (5.2% saved)

series20.0ms (0.9%)

Memory

-7.2MiB live, 38.2MiB allocated; 5ms collecting garbage

Counts

21 → 50

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

Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx 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) 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 (- (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)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#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 (/ (- (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)) 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 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* 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 (+ (* (* (* 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
7.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
3.0ms	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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	x	@	-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) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) 2 (- (exp (* x a)) -1) (exp (* x a)) -1)

rewrite242.0ms (11.1%)

Memory

32.9MiB live, 255.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1357
0	300	1329
1	1769	1323
0	8199	1241

Stop Event

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

Counts

71 → 172

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

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

eval21.0ms (1%)

Memory: 12.0MiB live, 54.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 036 to 745 computations (63.4% saved)

prune13.0ms (0.6%)

Memory

-52.1MiB live, 16.8MiB allocated; 10ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	164	6	170

Accuracy

100.0%

Counts

170 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
▶	72.1%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) #s(approx (- (exp (* x a)) -1) #s(literal 2 binary64)))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a) x))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 59 to 57 computations (3.4% saved)

series24.0ms (1.1%)

Memory

7.3MiB live, 52.5MiB allocated; 6ms collecting garbage

Counts

23 → 78

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (+ (* (* a (* a x)) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* a (* a x)) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* a (* a x)) #s(hole binary64 (* (pow a 2) x)))
#s(approx (/ (- (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 (- (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) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* a (+ x (* a (- (+ (* 3/2 (pow x 2)) (* a (- (+ (* 3/2 (pow x 3)) (* a (- (* 9/8 (pow x 4)) (+ (* 1/3 (* x (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 3)) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x)))))))))))) (+ (* 1/3 (* x (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 3/2 (pow x 2)) (* 1/3 (* x (+ x (* 2 x))))))))))) (* 1/3 (* x (+ x (* 2 x))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* 3 (* a x))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* 9/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (* a (pow x 3))) (* 9/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* a (+ (* 3 x) (* a (+ (* 9/2 (pow x 2)) (* a (+ (* 27/8 (* a (pow x 4))) (* 9/2 (pow x 3))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 3))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (* 2 x))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (* 4/3 (pow x 3)))))))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#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 (/ (- (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) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (/ (- (exp (* 3 (* a x))) 1) (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x)))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (- (exp (* 3 (* a x))) 1)))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (+ (exp (* 2 (* a x))) (exp (* a x))))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* 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 (+ (* (* a (* a x)) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx x #s(hole binary64 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 (- (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) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) #s(hole binary64 (* x (+ a (* x (- (+ (* 3/2 (pow a 2)) (* x (- (+ (* 3/2 (pow a 3)) (* x (- (* 9/8 (pow a 4)) (+ (* 1/3 (* a (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 3)) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a)))))))))))) (+ (* 1/3 (* a (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 3/2 (pow a 2)) (* 1/3 (* a (+ a (* 2 a))))))))))) (* 1/3 (* a (+ a (* 2 a))))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* 9/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (* (pow a 3) x)) (* 9/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 3)) 1) #s(hole binary64 (* x (+ (* 3 a) (* x (+ (* 9/2 (pow a 2)) (* x (+ (* 27/8 (* (pow a 4) x)) (* 9/2 (pow a 3))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (* 2 a))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))))
#s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) #s(hole binary64 (+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (* 4/3 (pow a 3)))))))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (* (+ (* (* 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 (+ (* (* 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
6.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* a (* a x)) 1/2) a) x) (+ (* (* a (* a x)) 1/2) a) (* a (* a x)) a (* a x) x 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)))
5.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* a (* a x)) 1/2) a) x) (+ (* (* a (* a x)) 1/2) a) (* a (* a x)) a (* a x) x 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)))
3.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* a (* a x)) 1/2) a) x) (+ (* (* a (* a x)) 1/2) a) (* a (* a x)) a (* a x) x 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* a (* a x)) 1/2) a) x) (+ (* (* a (* a x)) 1/2) a) (* a (* a x)) a (* a x) x 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)))
2.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* a (* a x)) 1/2) a) x) (+ (* (* a (* a x)) 1/2) a) (* a (* a x)) a (* a x) x 1/2 (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) 2 (- (exp (* x a)) -1) (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (- (exp (* x a)) -1) (exp (* x a)) -1 (exp (* (* x a) 2)))

rewrite188.0ms (8.6%)

Memory

33.1MiB live, 266.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	2698
0	508	2495
1	3353	2493
0	8328	2323

Stop Event

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

Counts

101 → 195

Calls

Call 1

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

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

eval53.0ms (2.4%)

Memory: 4.0MiB live, 49.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 260 to 856 computations (62.1% saved)

prune29.0ms (1.3%)

Memory

-48.4MiB live, 11.5MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	182	4	186
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	184	8	192

Accuracy

100.0%

Counts

192 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) #s(approx (- (exp ( x a)) -1) #s(literal 2 binary64)))
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
▶	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a))))
▶	67.2%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (*.f64 #s(literal 3 binary64) x) a #s(literal 3 binary64))))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a) x))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 93 to 89 computations (4.3% saved)

series16.0ms (0.7%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

27 → 75

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite241.0ms (11%)

Memory

16.5MiB live, 200.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	2665
0	530	2463
1	3451	2463
0	8611	2324

Stop Event

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

Counts

102 → 276

Calls

Call 1

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

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

eval42.0ms (1.9%)

Memory: -19.2MiB live, 73.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 443 to 1 225 computations (64.4% saved)

prune9.0ms (0.4%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	312	8	320

Accuracy

100.0%

Counts

320 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(/.f64 (expm1.f64 (.f64 (+.f64 a a) x)) #s(approx (- (exp ( x a)) -1) #s(literal 2 binary64)))
✓	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
✓	99.9%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a))))
✓	67.2%	(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (*.f64 #s(literal 3 binary64) x) a #s(literal 3 binary64))))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a) x))
✓	67.7%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 185 to 153 computations (17.3% saved)

regimes20.0ms (0.9%)

Memory

-15.5MiB live, 30.9MiB allocated; 3ms collecting garbage

Counts

13 → 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))
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 a (*.f64 a x)) #s(literal 1/2 binary64) a) x))
#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)) #s(approx (- (exp ( x a)) -1) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) #s(approx (- (exp (* x a)) -1) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) #s(approx (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (fma.f64 (*.f64 #s(literal 3 binary64) x) a #s(literal 3 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 x a)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 a a) x)))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (exp.f64 (.f64 (*.f64 x a) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 x a)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a))))

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

Calls

5 calls:

5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	x
4.0ms	a
3.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

2 → 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))

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
67.7%	1	`(*.f64 a x)`
67.7%	1	`(exp.f64 (*.f64 a x))`
67.7%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.7%	1	`a`
67.7%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
22.5%	1	`(exp.f64 (*.f64 a x))`
22.5%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
22.5%	1	`a`
22.5%	1	`(*.f64 a x)`
22.5%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations57.0ms (2.6%)

Memory

-10.6MiB live, 45.3MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess58.0ms (2.7%)

Memory: 5.6MiB live, 52.6MiB allocated; 2ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 63 to 60 computations (4.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (1.7%)

sample832.0ms (38%)

preprocess119.0ms (5.4%)

series5.0ms (0.2%)

rewrite129.0ms (5.9%)

eval19.0ms (0.9%)

prune3.0ms (0.2%)

series20.0ms (0.9%)

rewrite242.0ms (11.1%)

eval21.0ms (1%)

prune13.0ms (0.6%)

series24.0ms (1.1%)

rewrite188.0ms (8.6%)

eval53.0ms (2.4%)

prune29.0ms (1.3%)

series16.0ms (0.7%)

rewrite241.0ms (11%)

eval42.0ms (1.9%)

prune9.0ms (0.4%)

regimes20.0ms (0.9%)

regimes6.0ms (0.3%)

regimes5.0ms (0.2%)

derivations57.0ms (2.6%)

preprocess58.0ms (2.7%)

end0.0ms (0%)

Profiling