Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze40.0ms (4%)

Memory

-27.5MiB live, 18.2MiB allocated; 27ms 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)

sample477.0ms (48.4%)

Memory

29.2MiB live, 455.0MiB allocated; 92ms collecting garbage

Samples

261.0ms	8 256×	0	valid
18.0ms	320×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-expm1: 62.0ms (52.2% of total)

ival-mult!: 54.0ms (45.4% of total)

adjust: 2.0ms (1.7% of total)

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

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

Bogosity

preprocess35.0ms (3.5%)

Memory

-28.9MiB live, 15.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	64	40
2	134	40
3	608	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.8%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	272

Stop Event

1×	iter-limit

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) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal 1/6 binary64) (.f64 a (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) x) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx x 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	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)
1.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite39.0ms (3.9%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	40	16
0	280	14
1	719	14

Stop Event

1×	saturated
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

6 → 27

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
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a))))
(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 x a))
(-.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 #s(literal 1 binary64) (exp.f64 (.f64 x a)))
(.f64 (exp.f64 (.f64 x a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 x a)) (neg.f64 (sinh.f64 (.f64 x a))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a))))
(fabs.f64 (exp.f64 (*.f64 x a)))
(exp.f64 (fma.f64 x a #s(literal 0 binary64)))
(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 x a)
(*.f64 a x)
a
x
#s(literal 1 binary64)

eval32.0ms (3.2%)

Memory: -40.0MiB live, 6.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 256 to 141 computations (44.9% saved)

prune4.0ms (0.4%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	7	41

Accuracy

100.0%

Counts

41 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	49.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	20.8%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
▶	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	64.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
▶	70.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 108 to 108 computations (0% saved)

series14.0ms (1.4%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	982

Stop Event

1×	iter-limit

Counts

17 → 40

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 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 2 binary64)

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

Calls

6 calls:

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

rewrite58.0ms (5.9%)

Memory

-1.8MiB live, 48.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
0	31	85
1	174	82
0	1107	79
1	2781	79

Stop Event

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

Counts

17 → 137

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 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))
(.f64 (.f64 x a) #s(literal 2 binary64))
#s(literal 2 binary64)

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

eval20.0ms (2%)

Memory: -10.1MiB live, 34.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 212 to 600 computations (50.5% saved)

prune5.0ms (0.5%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	157	9	166

Accuracy

100.0%

Counts

166 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.0%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
✓	49.0%	(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	49.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	64.0%	#s(approx (- (exp (* x a)) 1) (.f64 a (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
✓	70.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 75 to 75 computations (0% saved)

series19.0ms (2%)

Memory

-14.3MiB live, 32.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1183

Stop Event

1×	iter-limit

Counts

23 → 50

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	((- (exp (* x a)) 1) (* a (+ x (* 1/2 (* a (pow x 2))))) a (+ x (* 1/2 (* a (pow x 2)))) x (* 1/2 (* a (pow x 2))) 1/2 (* a (pow x 2)) (pow x 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2))
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a (+ x (* 1/2 (* a (pow x 2))))) a (+ x (* 1/2 (* a (pow x 2)))) x (* 1/2 (* a (pow x 2))) 1/2 (* a (pow x 2)) (pow x 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2))
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a (+ x (* 1/2 (* a (pow x 2))))) a (+ x (* 1/2 (* a (pow x 2)))) x (* 1/2 (* a (pow x 2))) 1/2 (* a (pow x 2)) (pow x 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* a (+ x (* 1/2 (* a (pow x 2))))) a (+ x (* 1/2 (* a (pow x 2)))) x (* 1/2 (* a (pow x 2))) 1/2 (* a (pow x 2)) (pow x 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* a (+ x (* 1/2 (* a (pow x 2))))) a (+ x (* 1/2 (* a (pow x 2)))) x (* 1/2 (* a (pow x 2))) 1/2 (* a (pow x 2)) (pow x 2) 2 (- (exp (* a x)) 1) (exp (* a x)) (- (* a x) -1) (* a x) -1 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (pow (exp 2) (* a x))) 1) (sqrt (pow (exp 2) (* a x))) (pow (exp 2) (* a x)) (exp 2))

rewrite58.0ms (5.9%)

Memory

35.9MiB live, 35.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	137
0	42	134
1	225	128
0	1544	121
1	3943	121

Stop Event

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

Counts

23 → 182

Calls

Call 1

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

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

eval35.0ms (3.6%)

Memory: -9.5MiB live, 36.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 529 to 757 computations (50.5% saved)

prune7.0ms (0.7%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	198	9	207

Accuracy

100.0%

Counts

207 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.0%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
✓	49.0%	(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	49.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	64.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	70.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 73 to 73 computations (0% saved)

series13.0ms (1.3%)

Memory

-34.8MiB live, 15.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	365

Stop Event

1×	iter-limit

Counts

8 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2)
2.0ms	x	@	0	((- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2)
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2)
1.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2)
1.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) x a 1/2)

rewrite39.0ms (4%)

Memory

0.3MiB live, 47.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	17	46
1	76	46
0	576	44
1	1920	44

Stop Event

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

Counts

8 → 67

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a) x) a))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a) x) a)
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a)) a (.f64 a x))
(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a)) (.f64 a x))
(fma.f64 a x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a))))
(fma.f64 a x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a)) a))
(fma.f64 x a (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a))))
(fma.f64 x a (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a)) a))
(+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a))) (*.f64 a x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a)) a) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a))))
(+.f64 (.f64 a x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a)) a))
(neg.f64 (-.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) a x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a x) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a x) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 x x) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) a)) (neg.f64 (neg.f64 x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) a)) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) a)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) a)) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) a) x)
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) a) (neg.f64 (neg.f64 x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) a) x)
(fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 x (.f64 (.f64 a x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 (.f64 a x) #s(literal 1/2 binary64)) x)
(fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) a)) (neg.f64 (neg.f64 x)))
(fma.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) a)) x)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a)) (neg.f64 x))
(-.f64 x (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) a)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) a)) #s(literal 1/2 binary64)))
(-.f64 x (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal 1/2 binary64) a)))
(-.f64 x (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a)) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a)) x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a)))
(.f64 (.f64 a (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 a (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) a))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) a))
(.f64 (.f64 x x) a)
(.f64 (.f64 a x) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
a
#s(literal 1/2 binary64)

eval9.0ms (0.9%)

Memory: 11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 630 to 358 computations (43.2% saved)

prune6.0ms (0.6%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	82	9	91

Accuracy

100.0%

Counts

91 → 9

Alt Table

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Status	Accuracy	Program
✓	49.0%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
✓	49.0%	(-.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	49.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	64.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	70.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 144 to 123 computations (14.6% saved)

regimes17.0ms (1.7%)

Memory

-26.9MiB live, 19.8MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.9%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms 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 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.6%	1	`(*.f64 a x)`
70.6%	1	`(exp.f64 (*.f64 a x))`
70.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.6%	1	`a`
70.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.5%)

Memory

11.1MiB live, 11.1MiB 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	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
18.3%	1	`a`
18.3%	1	`x`
18.3%	1	`(*.f64 a x)`
18.3%	1	`(exp.f64 (*.f64 a x))`
18.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations3.0ms (0.3%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 13 computations (13.3% saved)

preprocess33.0ms (3.3%)

Memory: -26.9MiB live, 66.5MiB allocated; 10ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 63 to 61 computations (3.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze40.0ms (4%)

sample477.0ms (48.4%)

preprocess35.0ms (3.5%)

series8.0ms (0.8%)

rewrite39.0ms (3.9%)

eval32.0ms (3.2%)

prune4.0ms (0.4%)

series14.0ms (1.4%)

rewrite58.0ms (5.9%)

eval20.0ms (2%)

prune5.0ms (0.5%)

series19.0ms (2%)

rewrite58.0ms (5.9%)

eval35.0ms (3.6%)

prune7.0ms (0.7%)

series13.0ms (1.3%)

rewrite39.0ms (4%)

eval9.0ms (0.9%)

prune6.0ms (0.6%)

regimes17.0ms (1.7%)

regimes9.0ms (0.9%)

regimes5.0ms (0.5%)

derivations3.0ms (0.3%)

preprocess33.0ms (3.3%)

end0.0ms (0%)

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