Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze17.0ms (1.1%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample738.0ms (48.6%)

Memory

27.1MiB live, 642.6MiB allocated; 437ms collecting garbage

Samples

477.0ms	8 256×	0	valid
13.0ms	324×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-expm1: 97.0ms (64.2% of total)

ival-mult!: 51.0ms (33.7% of total)

adjust: 1.0ms (0.7% of total)

ival->: 1.0ms (0.7% of total)

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

Bogosity

preprocess38.0ms (2.5%)

Memory

-23.7MiB live, 35.7MiB allocated; 17ms 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
▶	51.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.6%)

Memory

13.7MiB live, 13.7MiB 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	x	@	-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	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite57.0ms (3.8%)

Memory

-2.2MiB live, 42.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	40	16
0	315	14

Stop Event

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

Counts

6 → 53

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

eval6.0ms (0.4%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 545 to 216 computations (60.4% saved)

prune3.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Accuracy

100.0%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	71.5%	(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) (exp.f64 (*.f64 x a)))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	71.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 28 to 27 computations (3.6% saved)

series19.0ms (1.2%)

Memory

-20.7MiB live, 25.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	908

Stop Event

1×	iter-limit

Counts

14 → 39

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
a
x
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) (exp.f64 (*.f64 x a)))
(neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))
(expm1.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
(exp.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)

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

Calls

6 calls:

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

rewrite54.0ms (3.6%)

Memory

11.9MiB live, 56.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
0	27	58
1	130	58
0	843	58

Stop Event

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

Counts

14 → 184

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
a
x
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) (exp.f64 (*.f64 x a)))
(neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))
(expm1.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
(exp.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)

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

eval45.0ms (2.9%)

Memory: -27.4MiB live, 39.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 1 854 to 666 computations (64.1% saved)

prune4.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	179	4	183

Accuracy

100.0%

Counts

183 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	70.5%	(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (+.f64 #s(literal 1 binary64) (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	71.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 32 to 32 computations (0% saved)

series10.0ms (0.7%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	828

Stop Event

1×	iter-limit

Counts

11 → 36

Calls

Call 1

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

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

rewrite51.0ms (3.4%)

Memory

-5.9MiB live, 40.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	21	56
1	88	56
0	668	53

Stop Event

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

Counts

11 → 126

Calls

Call 1

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

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

eval16.0ms (1%)

Memory: 26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 460 to 690 computations (52.7% saved)

prune12.0ms (0.8%)

Memory

-36.5MiB live, 6.1MiB allocated; 15ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	70.5%	(.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) a))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))))
▶	51.6%	(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a x))) (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	71.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 47 to 46 computations (2.1% saved)

series19.0ms (1.3%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	968

Stop Event

1×	iter-limit

Counts

20 → 44

Calls

Call 1

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

Outputs
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 a x))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 a (+.f64 x (.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 a (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 a (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 a (-.f64 (.f64 a (-.f64 (.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))))) (.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 a (-.f64 (.f64 a (-.f64 (.f64 a (-.f64 (.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))))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg (* x a))) 1) (.f64 #s(literal -1 binary64) (.f64 a x)))
#s(approx (- (exp (neg (* x a))) 1) (.f64 a (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (neg (* x a))) 1) (.f64 a (fma.f64 #s(literal -1 binary64) 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 (neg (* x a))) 1) (.f64 a (fma.f64 #s(literal -1 binary64) x (.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 a (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))))))))))
#s(approx a a)
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* x a)) (+.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 (* x a)) (+.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 (+ 1 (/ 1 (* a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (+ 1 (/ 1 (* a x))) (/.f64 (+.f64 a (/.f64 #s(literal 1 binary64) x)) a))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))))
#s(approx (- (exp (neg (* x a))) 1) (expm1.f64 (neg.f64 (*.f64 a x))))
#s(approx (exp (* x a)) (exp.f64 (*.f64 a x)))
#s(approx (* (+ 1 (/ 1 (* a x))) (* a x)) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ 1 (/ 1 (* a x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))))
#s(approx (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (.f64 (exp.f64 (.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a x))))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 a x)))))
#s(approx (- (exp (* (neg x) a)) 1) (expm1.f64 (.f64 #s(literal -1 binary64) (.f64 a x))))
#s(approx (* (+ 1 (/ 1 (* a x))) (* a x)) (.f64 #s(literal -1 binary64) (.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (.f64 x (+.f64 a (.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 a #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (.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))))) (.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.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))))) (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) a))))
#s(approx (- (exp (neg (* x a))) 1) (.f64 x (fma.f64 #s(literal -1 binary64) a (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (neg (* x a))) 1) (.f64 x (fma.f64 #s(literal -1 binary64) 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 (neg (* x a))) 1) (.f64 x (fma.f64 #s(literal -1 binary64) a (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))))))
#s(approx x x)
#s(approx (exp (* x a)) (+.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 (* x a)) (+.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 (+ 1 (/ 1 (* a x))) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) a)) x))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (+ 1 (/ 1 (* a x))) (* a x)) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ 1 (/ 1 (* a x))) (* 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
3.0ms	a	@	0	((* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (neg (- (exp (neg (* x a))) 1)) (- (exp (neg (* x a))) 1) (neg (* x a)) (* x a) x a (exp (* x a)) (* (+ 1 (/ 1 (* a x))) (* a x)) (+ 1 (/ 1 (* a x))) 1 (/ 1 (* a x)) (* a x) (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (neg (- (exp (* (neg x) a)) 1)) (- (exp (* (neg x) a)) 1) (* (neg x) a) (neg x) (exp (* x a)) (+ (* a x) 1))
2.0ms	x	@	-inf	((* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (neg (- (exp (neg (* x a))) 1)) (- (exp (neg (* x a))) 1) (neg (* x a)) (* x a) x a (exp (* x a)) (* (+ 1 (/ 1 (* a x))) (* a x)) (+ 1 (/ 1 (* a x))) 1 (/ 1 (* a x)) (* a x) (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (neg (- (exp (* (neg x) a)) 1)) (- (exp (* (neg x) a)) 1) (* (neg x) a) (neg x) (exp (* x a)) (+ (* a x) 1))
2.0ms	a	@	-inf	((* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (neg (- (exp (neg (* x a))) 1)) (- (exp (neg (* x a))) 1) (neg (* x a)) (* x a) x a (exp (* x a)) (* (+ 1 (/ 1 (* a x))) (* a x)) (+ 1 (/ 1 (* a x))) 1 (/ 1 (* a x)) (* a x) (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (neg (- (exp (* (neg x) a)) 1)) (- (exp (* (neg x) a)) 1) (* (neg x) a) (neg x) (exp (* x a)) (+ (* a x) 1))
2.0ms	x	@	inf	((* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (neg (- (exp (neg (* x a))) 1)) (- (exp (neg (* x a))) 1) (neg (* x a)) (* x a) x a (exp (* x a)) (* (+ 1 (/ 1 (* a x))) (* a x)) (+ 1 (/ 1 (* a x))) 1 (/ 1 (* a x)) (* a x) (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (neg (- (exp (* (neg x) a)) 1)) (- (exp (* (neg x) a)) 1) (* (neg x) a) (neg x) (exp (* x a)) (+ (* a x) 1))
2.0ms	a	@	inf	((* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (neg (- (exp (neg (* x a))) 1)) (- (exp (neg (* x a))) 1) (neg (* x a)) (* x a) x a (exp (* x a)) (* (+ 1 (/ 1 (* a x))) (* a x)) (+ 1 (/ 1 (* a x))) 1 (/ 1 (* a x)) (* a x) (* (neg (- (exp (* (neg x) a)) 1)) (exp (* x a))) (neg (- (exp (* (neg x) a)) 1)) (- (exp (* (neg x) a)) 1) (* (neg x) a) (neg x) (exp (* x a)) (+ (* a x) 1))

rewrite189.0ms (12.4%)

Memory

5.9MiB live, 234.0MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	39	111
1	163	111
2	1077	111
0	8103	111

Stop Event

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

Counts

20 → 1 159

Calls

Call 1

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

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

eval154.0ms (10.2%)

Memory: 15.3MiB live, 117.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 9 738 to 3 724 computations (61.8% saved)

prune17.0ms (1.1%)

Memory

-12.3MiB live, 31.0MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	773	1	774
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	774	5	779

Accuracy

100.0%

Counts

779 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	70.5%	(.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) a))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))))
	51.6%	(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)) (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	71.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 102 to 89 computations (12.7% saved)

regimes18.0ms (1.2%)

Memory

-15.4MiB live, 28.8MiB allocated; 7ms collecting garbage

Counts

9 → 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))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(.f64 (neg.f64 (expm1.f64 (.f64 (neg.f64 x) a))) #s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) (exp.f64 (*.f64 x a)))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) #s(literal -1 binary64)) (*.f64 a x))))
(.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 x a)))) #s(approx (exp (* x a)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a x))) (*.f64 a x))))

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

Calls

5 calls:

7.0ms	(exp.f64 (*.f64 a x))
3.0ms	x
3.0ms	a
3.0ms	(*.f64 a x)
2.0ms	(-.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)

regimes6.0ms (0.4%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.1%	1	`(*.f64 a x)`
71.1%	1	`(exp.f64 (*.f64 a x))`
71.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.1%	1	`a`
71.1%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
21.6%	1	`(exp.f64 (*.f64 a x))`
21.6%	1	`(*.f64 a x)`
21.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.6%	1	`a`
21.6%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations3.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 15 to 13 computations (13.3% saved)

preprocess29.0ms (1.9%)

Memory: -11.2MiB live, 48.4MiB allocated; 9ms 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%)

analyze17.0ms (1.1%)

sample738.0ms (48.6%)

preprocess38.0ms (2.5%)

series9.0ms (0.6%)

rewrite57.0ms (3.8%)

eval6.0ms (0.4%)

prune3.0ms (0.2%)

series19.0ms (1.2%)

rewrite54.0ms (3.6%)

eval45.0ms (2.9%)

prune4.0ms (0.2%)

series10.0ms (0.7%)

rewrite51.0ms (3.4%)

eval16.0ms (1%)

prune12.0ms (0.8%)

series19.0ms (1.3%)

rewrite189.0ms (12.4%)

eval154.0ms (10.2%)

prune17.0ms (1.1%)

regimes18.0ms (1.2%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

derivations3.0ms (0.2%)

preprocess29.0ms (1.9%)

end0.0ms (0%)

Profiling