Metrics for exp neg sub

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample832.0ms (38.4%)

Memory

38.9MiB live, 633.5MiB allocated; 881ms collecting garbage

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 521.0ms

ival-neg: 317.0ms (60.9% of total)

ival-exp: 133.0ms (25.5% of total)

ival-mult!: 50.0ms (9.6% of total)

ival-sub!: 20.0ms (3.8% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess37.0ms (1.7%)

Memory

-21.1MiB live, 23.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	46	19
2	105	19
3	274	19
4	1045	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)

1.0ms

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)

1.0ms

-inf

((exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (- 1 (* x x)) 1 (* x x) x)

rewrite101.0ms (4.7%)

Memory

43.8MiB live, 89.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	231
0	58	224
1	273	207
0	2566	199

Stop Event

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

Counts

21 → 109

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))

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

eval42.0ms (1.9%)

Memory: -30.3MiB live, 15.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 783 to 415 computations (47% saved)

prune5.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Accuracy

100.0%

Counts

105 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
▶	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
▶	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	49.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
▶	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Compiler

Compiled 90 to 90 computations (0% saved)

series5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

18 → 37

Calls

Call 1

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

Outputs
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (/ 1 (exp 1))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (/ 1 (exp 1)) (/ (pow x 2) (exp 1)))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (exp 1))) (/ 1 (exp 1)))) (/ 1 (exp 1)))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (exp 1))) (* 1/2 (/ 1 (exp 1))))) (/ 1 (exp 1)))) (/ 1 (exp 1)))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (exp 1)))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* -1 (* (pow x 2) (exp 1))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* (pow x 2) (+ (* -1 (exp 1)) (* 1/2 (* (pow x 2) (exp 1))))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* (pow x 2) (+ (* -1 (exp 1)) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (exp 1))) (* 1/2 (exp 1)))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (/ 1 (exp (- 1 (pow x 2))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (exp (- 1 (pow x 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

((/ 1 (exp (- 1 (* x x)))) 1 (exp (- 1 (* x x))) (- 1 (* x x)) (* x x) x (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (+ (* x x) 1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1) -1)

1.0ms

inf

((/ 1 (exp (- 1 (* x x)))) 1 (exp (- 1 (* x x))) (- 1 (* x x)) (* x x) x (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (+ (* x x) 1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1) -1)

1.0ms

-inf

((/ 1 (exp (- 1 (* x x)))) 1 (exp (- 1 (* x x))) (- 1 (* x x)) (* x x) x (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (+ (* x x) 1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (+ (* x x) -1) -1)

rewrite216.0ms (10%)

Memory

-18.8MiB live, 176.8MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	698
0	152	624
1	755	544
0	7103	532

Stop Event

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

Counts

55 → 500

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1 binary64)
(exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x x #s(literal 1 binary64))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
#s(approx (neg (- 1 (* x x))) (*.f64 x x))
(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (/ 1 (exp 1))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (/ 1 (exp 1)) (/ (pow x 2) (exp 1)))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (exp 1))) (/ 1 (exp 1)))) (/ 1 (exp 1)))))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (exp 1))) (* 1/2 (/ 1 (exp 1))))) (/ 1 (exp 1)))) (/ 1 (exp 1)))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (exp 1)))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* -1 (* (pow x 2) (exp 1))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* (pow x 2) (+ (* -1 (exp 1)) (* 1/2 (* (pow x 2) (exp 1))))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (+ (exp 1) (* (pow x 2) (+ (* -1 (exp 1)) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (exp 1))) (* 1/2 (exp 1)))))))))
#s(approx (- 1 (* x x)) #s(hole binary64 1))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 -1))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (/ 1 (exp (- 1 (* x x)))) #s(hole binary64 (/ 1 (exp (- 1 (pow x 2))))))
#s(approx (exp (- 1 (* x x))) #s(hole binary64 (exp (- 1 (pow x 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (neg (- 1 (* x x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))

Outputs
(.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (exp.f64 (.f64 x x)) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))) (-.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 (.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (exp.f64 (*.f64 x x))) (neg.f64 (E.f64)))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (sinh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (sqrt.f64 (E.f64)) (/.f64 (sqrt.f64 (E.f64)) (exp.f64 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (/.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 (*.f64 x x))))
(.f64 (E.f64) (exp.f64 (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 (.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (*.f64 x x))))
(/.f64 (E.f64) (exp.f64 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (+.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (exp.f64 (.f64 x x))) (/.f64 (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (exp.f64 (.f64 x x))))
(+.f64 (sinh.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (cosh.f64 (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (cosh.f64 (fma.f64 x x #s(literal -1 binary64))) (sinh.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal -1 binary64) (fabs.f64 x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
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(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (E.f64)) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (E.f64)) x) x) x) x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (- 1 (* x x))) (E.f64))
#s(approx (exp (- 1 (* x x))) (-.f64 (E.f64) (.f64 (.f64 x x) (E.f64))))
#s(approx (exp (- 1 (* x x))) (fma.f64 (.f64 (E.f64) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal -1 binary64))) (*.f64 x x) (E.f64)))
#s(approx (exp (- 1 (* x x))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (E.f64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)) (E.f64)) x) x (E.f64)))
#s(approx (- 1 (* x x)) #s(literal 1 binary64))
#s(approx (- 1 (* x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (E.f64)) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (E.f64)) x) x) x) x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (exp (neg (- 1 (* x x)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(approx (exp (- 1 (* x x))) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x))
#s(approx (- 1 (* x x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x))
#s(approx (exp (neg (- 1 (* x x)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x))

eval78.0ms (3.6%)

Memory: 24.4MiB live, 76.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 5 083 to 1 764 computations (65.3% saved)

prune15.0ms (0.7%)

Memory

-23.8MiB live, 22.1MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	547	3	550
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	548	7	555

Accuracy

100.0%

Counts

555 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	49.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
▶	32.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))

Compiler

Compiled 73 to 71 computations (2.7% saved)

series5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

14 → 25

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (/ (* x x) (E)) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (/ 1 (E))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (/ x (E)) #s(hole binary64 (/ x (E))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) x (E) (exp (neg (- 1 (* x x)))) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) 1 (exp (neg (- 1 (* x x)))) (+ (* x (/ x (E))) (/ 1 (E))) (/ x (E)) (/ 1 (E)))

2.0ms

-inf

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) x (E) (exp (neg (- 1 (* x x)))) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) 1 (exp (neg (- 1 (* x x)))) (+ (* x (/ x (E))) (/ 1 (E))) (/ x (E)) (/ 1 (E)))

1.0ms

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) x (E) (exp (neg (- 1 (* x x)))) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) 1 (exp (neg (- 1 (* x x)))) (+ (* x (/ x (E))) (/ 1 (E))) (/ x (E)) (/ 1 (E)))

rewrite162.0ms (7.5%)

Memory

-16.2MiB live, 124.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	467
0	97	424
1	399	377
0	3689	373

Stop Event

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

Counts

39 → 498

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (*.f64 x x) (E.f64))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 x (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (/ (* x x) (E)) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (/ 1 (E))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (/ x (E)) #s(hole binary64 (/ x (E))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (/ (+ (* x x) 1) (E)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x) x)
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 x) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (neg.f64 x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 (neg.f64 x) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (E.f64))) (/.f64 (fabs.f64 x) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (fabs.f64 x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 (fabs.f64 x) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (E.f64))) (/.f64 x (sqrt.f64 (E.f64))))
(.f64 (/.f64 x (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 x (exp.f64 #s(literal 1/3 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (E.f64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (E.f64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (/.f64 x (E.f64)) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x x))
(.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 x (/.f64 x (E.f64)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (.f64 x x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 (E.f64)))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64)))
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (E.f64)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (E.f64))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal -1 binary64)))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
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(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (E.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))) (/.f64 (.f64 x x) (E.f64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) (.f64 x x) (/.f64 (.f64 x x) (E.f64)))
(fma.f64 (/.f64 x (E.f64)) x (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (E.f64)) x (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) (/.f64 (.f64 x x) (E.f64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 x x) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64) (/.f64 (*.f64 x x) (E.f64)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))) (/.f64 (.f64 x x) (E.f64)))
(fma.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (E.f64))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 x (/.f64 x (E.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64))) (/.f64 (.f64 (/.f64 (.f64 x x) (.f64 (E.f64) (E.f64))) (.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (E.f64))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (.f64 (E.f64) (E.f64))) (.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(-.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (E.f64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (neg.f64 (/.f64 x (E.f64))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (*.f64 (neg.f64 x) (/.f64 x (E.f64))))
(-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (/.f64 (*.f64 x x) (E.f64))))
(+.f64 (fma.f64 (/.f64 x (E.f64)) x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (/.f64 (.f64 x x) (E.f64)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (E.f64) (E.f64)) (E.f64))) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (E.f64))))) (/.f64 (pow.f64 (/.f64 (.f64 x x) (E.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 x x) (E.f64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (E.f64))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (.f64 x x) (E.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 (/.f64 (.f64 x x) (.f64 (E.f64) (E.f64))) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (E.f64) (E.f64)) (E.f64))) (fma.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (E.f64)) (.f64 (/.f64 (.f64 x x) (.f64 (E.f64) (E.f64))) (*.f64 x x)))))
(+.f64 (/.f64 (E.f64) (.f64 (E.f64) (E.f64))) (/.f64 (.f64 (.f64 x x) (E.f64)) (.f64 (E.f64) (E.f64))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (E.f64)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (E.f64))))
(+.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
(/.f64 (/.f64 x (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 x (cbrt.f64 (*.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (neg.f64 x) (neg.f64 (E.f64)))
(/.f64 x (E.f64))
(neg.f64 (/.f64 (neg.f64 x) (E.f64)))
(neg.f64 (/.f64 x (neg.f64 (E.f64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) x) x)
(*.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (E.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (E.f64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))) (.f64 x x))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64))))
(.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (E.f64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)))
(pow.f64 (E.f64) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) (E.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) (E.f64)))
(/.f64 (.f64 x x) (.f64 (*.f64 x x) (E.f64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (E.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (E.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (E.f64))))
(/.f64 #s(literal 1 binary64) (E.f64))
(neg.f64 (/.f64 #s(literal -1 binary64) (E.f64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (sinh.f64 #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (* x x) (E)) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (/ x (E)) (/.f64 x (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (+ (* x (/ x (E))) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))

eval33.0ms (1.5%)

Memory: 27.9MiB live, 71.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 365 to 1 198 computations (64.4% saved)

prune13.0ms (0.6%)

Memory

-21.4MiB live, 23.4MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	328	1	329
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	328	8	336

Accuracy

100.0%

Counts

336 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	49.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	32.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
▶	32.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

Compiler

Compiled 89 to 86 computations (3.4% saved)

series3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

6 → 12

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))
(*.f64 (/.f64 x (E.f64)) x)
(/.f64 x (E.f64))
x
(E.f64)

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (* (/ x (E)) x) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (/ x (E)) #s(hole binary64 (/ x (E))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))
1.0ms	x	@	-inf	((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))
1.0ms	x	@	0	((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))

Time

Variable

Point

Expression

1.0ms

inf

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))

1.0ms

-inf

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))

1.0ms

((exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) x (E))

rewrite128.0ms (5.9%)

Memory

-9.3MiB live, 90.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	243
0	60	240
1	310	210
0	3160	197

Stop Event

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

Counts

18 → 57

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))
(*.f64 (/.f64 x (E.f64)) x)
(/.f64 x (E.f64))
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp -1)))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (exp -1)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ 1 (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (+ (/ 1 (E)) (/ (pow x 2) (E)))))
#s(approx (* (/ x (E)) x) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (/ x (E)) #s(hole binary64 (/ x (E))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg (- 1 (* x x)))) #s(hole binary64 (exp (- (pow x 2) 1))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (/ (pow x 2) (E))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) x) x)
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (E.f64))) (/.f64 (neg.f64 x) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (neg.f64 x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 (neg.f64 x) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (E.f64))) (/.f64 (fabs.f64 x) (sqrt.f64 (E.f64))))
(.f64 (/.f64 (fabs.f64 x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 (fabs.f64 x) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 x (sqrt.f64 (E.f64))) (/.f64 x (sqrt.f64 (E.f64))))
(.f64 (/.f64 x (cbrt.f64 (.f64 (E.f64) (E.f64)))) (/.f64 x (exp.f64 #s(literal 1/3 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (E.f64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (E.f64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (/.f64 x (E.f64)) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x x))
(.f64 x (.f64 x (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 x (/.f64 x (E.f64)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 (.f64 x x) (cbrt.f64 (.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 (E.f64)))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64)))
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (*.f64 x x) (E.f64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (E.f64)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (E.f64))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))) (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal -1 binary64)))
(exp.f64 (+.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 x (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (/.f64 x (cbrt.f64 (*.f64 (E.f64) (E.f64)))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (neg.f64 x) (neg.f64 (E.f64)))
(/.f64 x (E.f64))
(neg.f64 (/.f64 (neg.f64 x) (E.f64)))
(neg.f64 (/.f64 x (neg.f64 (E.f64))))
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))) x) x (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (* (/ x (E)) x) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (/ x (E)) (/.f64 x (E.f64)))
#s(approx x x)
#s(approx (exp (neg (- 1 (* x x)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
#s(approx (* (+ (* x x) 1) (/ 1 (E))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (E.f64)) (*.f64 x x)))

eval4.0ms (0.2%)

Memory: 6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 446 to 229 computations (48.7% saved)

prune4.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	47	8	55

Accuracy

100.0%

Counts

55 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	100.0%	(exp.f64 #s(approx (neg (- 1 (* x x))) (fma.f64 x x #s(literal -1 binary64))))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
✓	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
✓	78.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	49.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
✓	32.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
✓	32.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

Compiler

Compiled 154 to 126 computations (18.2% saved)

regimes31.0ms (1.5%)

Memory

-12.3MiB live, 33.6MiB allocated; 7ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes13.0ms (0.6%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 18 to 18 computations (0% saved)

regimes47.0ms (2.2%)

Memory

-24.0MiB live, 22.9MiB allocated; 4ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Calls

5 calls:

38.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 x x)`
99.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
99.9%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
99.9%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
99.9%	2	`x`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes10.0ms (0.5%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
78.2%	1	`(*.f64 x x)`
78.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.2%	1	`x`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes13.0ms (0.6%)

Memory

-24.2MiB live, 21.8MiB allocated; 4ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
78.2%	1	`(*.f64 x x)`
78.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
78.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
78.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
78.2%	1	`x`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes7.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
77.9%	2	`(*.f64 x x)`
77.9%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
77.9%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
77.9%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
77.9%	2	`x`

Compiler

Compiled 18 to 18 computations (0% saved)

regimes14.0ms (0.6%)

Memory

-49.9MiB live, 18.6MiB allocated; 17ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Calls

5 calls:

10.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
49.0%	1	`(*.f64 x x)`
49.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
49.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
49.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
49.0%	1	`x`

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch12.0ms (0.6%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0014343136909349915	25076.661925215907

Samples

6.0ms

144×

valid

Compiler

Compiled 199 to 208 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 1.0ms (31.5% of total)

ival-mult!: 1.0ms (31.5% of total)

ival-neg: 1.0ms (31.5% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch6.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0014343136909349915	25076.661925215907

Samples

2.0ms

64×

valid

Compiler

Compiled 244 to 253 computations (-3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-exp: 1.0ms (72.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

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

derivations278.0ms (12.8%)

Memory

-6.1MiB live, 217.2MiB allocated; 65ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 57 to 38 computations (33.3% saved)

preprocess50.0ms (2.3%)

Memory: 28.7MiB live, 118.5MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 259 to 216 computations (16.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample832.0ms (38.4%)

preprocess37.0ms (1.7%)

series3.0ms (0.1%)

rewrite101.0ms (4.7%)

eval42.0ms (1.9%)

prune5.0ms (0.2%)

series5.0ms (0.2%)

rewrite216.0ms (10%)

eval78.0ms (3.6%)

prune15.0ms (0.7%)

series5.0ms (0.2%)

rewrite162.0ms (7.5%)

eval33.0ms (1.5%)

prune13.0ms (0.6%)

series3.0ms (0.1%)

rewrite128.0ms (5.9%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes31.0ms (1.5%)

regimes13.0ms (0.6%)

regimes47.0ms (2.2%)

regimes10.0ms (0.5%)

regimes13.0ms (0.6%)

regimes7.0ms (0.3%)

regimes14.0ms (0.6%)

bsearch12.0ms (0.6%)

bsearch6.0ms (0.3%)

derivations278.0ms (12.8%)

preprocess50.0ms (2.3%)

end0.0ms (0%)

Profiling