Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze28.0ms (2.4%)

Memory

-14.9MiB live, 28.2MiB allocated; 10ms 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)

sample539.0ms (45.8%)

Memory

19.3MiB live, 596.3MiB allocated; 175ms collecting garbage

Samples

336.0ms	8 256×	0	valid
14.0ms	346×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-expm1: 118.0ms (69.1% of total)

ival-mult!: 49.0ms (28.7% of total)

adjust: 2.0ms (1.2% of total)

ival->: 1.0ms (0.6% of total)

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

Bogosity

preprocess78.0ms (6.6%)

Memory

-36.9MiB live, 54.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	60	40
2	121	40
3	452	40
4	5758	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.4%)

Memory

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

Counts

6 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite160.0ms (13.6%)

Memory

39.2MiB live, 215.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	314
0	86	314
1	519	314
0	5155	271

Stop Event

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

Counts

23 → 62

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

eval9.0ms (0.8%)

Memory: -26.5MiB live, 17.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 417 to 186 computations (55.4% saved)

prune2.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Accuracy

100.0%

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 27 to 27 computations (0% saved)

series4.0ms (0.4%)

Memory

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

Counts

11 → 21

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite208.0ms (17.7%)

Memory

-2.4MiB live, 225.5MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	412
0	114	383
1	703	369
0	6433	349

Stop Event

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

Counts

32 → 179

Calls

Call 1

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

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

eval29.0ms (2.4%)

Memory: 4.9MiB live, 55.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 1 480 to 579 computations (60.9% saved)

prune4.0ms (0.4%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	167	4	171

Accuracy

100.0%

Counts

171 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 50 to 45 computations (10% saved)

regimes13.0ms (1.1%)

Memory

-14.9MiB live, 29.6MiB allocated; 10ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(exp.f64 (*.f64 a x))
2.0ms	x
2.0ms	a
2.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.6%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.6%	1	`(*.f64 a x)`
69.6%	1	`(exp.f64 (*.f64 a x))`
69.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.6%	1	`a`
69.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes8.0ms (0.7%)

Memory

-27.5MiB live, 17.4MiB allocated; 8ms 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:

5.0ms	a
1.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
21.5%	1	`a`
21.5%	1	`(*.f64 a x)`
21.5%	1	`(exp.f64 (*.f64 a x))`
21.5%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.5%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations52.0ms (4.4%)

Memory

39.7MiB live, 83.4MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 12 computations (20% saved)

preprocess32.0ms (2.7%)

Memory: -29.3MiB live, 74.3MiB allocated; 22ms 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%)

analyze28.0ms (2.4%)

sample539.0ms (45.8%)

preprocess78.0ms (6.6%)

series5.0ms (0.4%)

rewrite160.0ms (13.6%)

eval9.0ms (0.8%)

prune2.0ms (0.2%)

series4.0ms (0.4%)

rewrite208.0ms (17.7%)

eval29.0ms (2.4%)

prune4.0ms (0.4%)

regimes13.0ms (1.1%)

regimes7.0ms (0.6%)

regimes8.0ms (0.7%)

derivations52.0ms (4.4%)

preprocess32.0ms (2.7%)

end0.0ms (0%)

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