Metrics for Hyperbolic tangent

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 15 to 9 computations (40% saved)

sample3.7s (65.9%)

Memory

95.6MiB live, 4 178.7MiB allocated; 739ms collecting garbage

Samples

1.6s	3 118×	2	valid
994.0ms	4 747×	1	valid
515.0ms	7 704×	0	exit
40.0ms	391×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.6s (60.1% of total)

adjust: 429.0ms (16.5% of total)

ival-div: 219.0ms (8.4% of total)

ival-sub: 165.0ms (6.3% of total)

ival-add: 147.0ms (5.6% of total)

ival-neg: 75.0ms (2.9% of total)

ival-assert: 5.0ms (0.2% of total)

Bogosity

explain311.0ms (5.5%)

Memory

1.7MiB live, 328.5MiB allocated; 26ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
246	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
4	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	246	0
`/.f64`	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`	o/o	4	0
↳	`(exp.f64 x)`	overflow	4
↳	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	overflow	4
↳	`(exp.f64 x)`	overflow	4

Confusion

	Predicted +	Predicted -
+	250	0
-	0	6

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	250	0	0
-	0	0	6

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	6
1	250

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

124.0ms	194×	2	valid
60.0ms	296×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-exp: 77.0ms (63.3% of total)

adjust: 20.0ms (16.5% of total)

ival-div: 8.0ms (6.6% of total)

ival-add: 5.0ms (4.1% of total)

ival-sub: 5.0ms (4.1% of total)

ival-neg: 5.0ms (4.1% of total)

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

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

preprocess160.0ms (2.8%)

Memory

14.5MiB live, 199.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	45	39
2	104	39
3	414	39
4	4412	27
0	7	13
0	13	13
1	26	13
2	66	13
3	263	13
4	1667	9
0	8992	9

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.8%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

series4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

7 → 31

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

1.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) (+ (exp x) (exp (neg x))))

rewrite206.0ms (3.6%)

Memory

-5.6MiB live, 243.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	498
0	140	356
1	753	345
0	6406	319

Stop Event

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

Counts

38 → 120

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 2))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (neg x)))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (exp x) (exp (neg x))) #s(hole binary64 (+ (exp x) (exp (* -1 x)))))

Outputs
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
x
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(/.f64 (/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 2/15 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)) #s(literal 1/3 binary64))) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (exp x) (exp (neg x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval19.0ms (0.3%)

Memory: -7.2MiB live, 37.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 096 to 499 computations (83.9% saved)

prune5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	4	163

Accuracy

100.0%

Counts

163 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
▶	100.0%	(tanh.f64 x)
▶	96.4%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
▶	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 48 to 30 computations (37.5% saved)

series13.0ms (0.2%)

Memory

-25.9MiB live, 19.8MiB allocated; 4ms collecting garbage

Counts

15 → 39

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)
4.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)

Time

Variable

Point

Expression

6.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)

4.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)

2.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (pow x 3) -1/3) x) (pow x 3) 3 -1/3 (tanh x) (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (* 2 x)) 1) (* 2 x) 2 (+ (* (exp x) (exp x)) 1) (exp x) 1)

rewrite177.0ms (3.1%)

Memory

38.8MiB live, 208.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	696
0	147	494
1	729	479
0	5754	453

Stop Event

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

Counts

54 → 257

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tanh x) #s(hole binary64 x))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (tanh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (tanh x) #s(hole binary64 (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (* 2 x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) x)
x
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 x #s(literal -1/3 binary64)) (.f64 x x) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/3 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/3 binary64) x) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 x (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64)))
(-.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(literal 3 binary64)
#s(literal -1/3 binary64)
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 4 binary64) x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (expm1.f64 (.f64 #s(literal 4 binary64) x)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -2 binary64)) x)) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) (+.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(tanh.f64 x)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (expm1.f64 (.f64 #s(literal 4 binary64) x))) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (tanh.f64 x))
(.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
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(-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))))
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal -2 binary64) x))) (sinh.f64 (.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (+.f64 (sinh.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) x)
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (+ (* (pow x 3) -1/3) x) x)
#s(approx (+ (* (pow x 3) -1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) x)
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) x)
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (* 2 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (exp x) (exp x)) 1) #s(literal 2 binary64))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (tanh.f64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (tanh.f64 x))
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (exp (* 2 x)) 1) (+ (* (exp x) (exp x)) 1)) (tanh.f64 x))
#s(approx (+ (* (pow x 3) -1/3) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval26.0ms (0.5%)

Memory: 11.0MiB live, 57.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 651 to 711 computations (84.7% saved)

prune29.0ms (0.5%)

Memory

-33.1MiB live, 24.7MiB allocated; 26ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	231	2	233
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	233	4	237

Accuracy

100.0%

Counts

237 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
✓	100.0%	(tanh.f64 x)
▶	96.4%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 50 to 29 computations (42% saved)

series6.0ms (0.1%)

Memory

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

Counts

12 → 37

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)

2.0ms

inf

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)

1.0ms

((/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (+ (* (* (* x x) x) -1/3) x) (* (* x x) x) (* x x) x -1/3 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (* (exp x) (exp x)) 1) (exp x) 1)

rewrite53.0ms (0.9%)

Memory

22.2MiB live, 68.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	671
0	154	537
0	776	511

Stop Event

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

Counts

49 → 86

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 2))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1/3 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (* (exp x) (exp x)) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) #s(hole binary64 (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))))
#s(approx (+ (* (* (* x x) x) -1/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64))) (.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/3 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* x x) x) -1/3) x) x)
#s(approx (+ (* (* (* x x) x) -1/3) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (exp x) (exp x)) 1) #s(literal 2 binary64))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (* (exp x) (exp x)) 1) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (tanh.f64 x))
#s(approx (+ (* (* (* x x) x) -1/3) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

eval15.0ms (0.3%)

Memory: 2.6MiB live, 35.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 071 to 321 computations (84.5% saved)

prune8.0ms (0.1%)

Memory

-27.2MiB live, 15.6MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	102	6	108

Accuracy

100.0%

Counts

108 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(tanh.f64 x)
▶	96.5%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
▶	96.7%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
✓	96.4%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 113 to 69 computations (38.9% saved)

series10.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

24 → 88

Calls

Call 1

Inputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 2))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (pow (exp x) 2) #s(hole binary64 1))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* -17/315 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (pow (exp x) 2) #s(hole binary64 (pow (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)
3.0ms	x	@	-inf	((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)
2.0ms	x	@	0	((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)

Time

Variable

Point

Expression

4.0ms

inf

((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)

3.0ms

-inf

((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)

2.0ms

((/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (- (* 2/15 (* x x)) 1/3) (* 2/15 (* x x)) 2/15 (* x x) x 1/3 1 (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (+ (* -17/315 (* x x)) 2/15) -17/315 (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (- (exp (+ x x)) 1) (+ x x) (+ (pow (exp x) 2) 1) (pow (exp x) 2) (exp x) 2)

rewrite132.0ms (2.3%)

Memory

24.9MiB live, 105.0MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	2089
0	288	1992
0	1180	1960

Stop Event

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

Counts

112 → 202

Calls

Call 1

Inputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x)) #s(literal 1/3 binary64))
(.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
#s(literal -17/315 binary64)
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (* 2/15 (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (- (* 2/15 (pow x 2)) 1/3)))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 2/15))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (+ 2/15 (* -17/315 (pow x 2)))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* -1/3 (pow x 2))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 2))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* 2 x))))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* 2 x))))))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (pow (exp x) 2) #s(hole binary64 1))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (pow (exp x) 2) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* 2/15 (pow x 5))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* 2/15 (pow x 4))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* 2/15 (pow x 2))))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(hole binary64 (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -17/315 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* -17/315 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* -17/315 (pow x 4))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* -17/315 (pow x 2))))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(hole binary64 (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (/ (- (exp (* 2 x)) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (+ (pow (exp x) 2) 1) #s(hole binary64 (+ 1 (pow (exp x) 2))))
#s(approx (pow (exp x) 2) #s(hole binary64 (pow (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) #s(hole binary64 (/ (- (exp (neg (* -2 x))) 1) (+ 1 (pow (exp x) 2)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64))) #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) #s(literal 2/15 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 2/15 binary64) x) x)
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(.f64 #s(literal 2/15 binary64) (.f64 x x))
#s(literal 2/15 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x)) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x))))))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x)) #s(literal 1/9 binary64)) (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x)
(.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2/15 binary64) x) x (.f64 (.f64 x x) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 2/15 binary64) (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 2/15 binary64) (.f64 (.f64 x x) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2/15 binary64) (.f64 x x) (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 2/15 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) (.f64 (.f64 x x) (.f64 #s(literal -17/315 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (.f64 #s(literal -17/315 binary64) (.f64 x x))) #s(literal 4/225 binary64)) (-.f64 (.f64 #s(literal -17/315 binary64) (*.f64 x x)) #s(literal 2/15 binary64)))
(/.f64 (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (.f64 #s(literal -17/315 binary64) (.f64 x x)))) (-.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 8/3375 binary64)) (fma.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (.f64 #s(literal -17/315 binary64) (.f64 x x)) (-.f64 #s(literal 4/225 binary64) (.f64 (.f64 #s(literal -17/315 binary64) (*.f64 x x)) #s(literal 2/15 binary64)))))
(/.f64 (+.f64 #s(literal 8/3375 binary64) (pow.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 4/225 binary64) (-.f64 (.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) (.f64 #s(literal -17/315 binary64) (.f64 x x))) (.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x))))))
(fma.f64 (*.f64 #s(literal -17/315 binary64) x) x #s(literal 2/15 binary64))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
(-.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -17/315 binary64) (.f64 x x)) #s(literal 2/15 binary64))
(+.f64 #s(literal 2/15 binary64) (.f64 #s(literal -17/315 binary64) (.f64 x x)))
#s(literal -17/315 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (expm1.f64 (.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) x)) (sinh.f64 (.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 2/15 (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* 2/15 (* x x)) 1/3) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
#s(approx (* 2/15 (* x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) x) x))
#s(approx (+ (* -17/315 (* x x)) 2/15) #s(literal 2/15 binary64))
#s(approx (+ (* -17/315 (* x x)) 2/15) (fma.f64 #s(literal -17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (pow (exp x) 2) 1) #s(literal 2 binary64))
#s(approx (+ (pow (exp x) 2) 1) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (pow (exp x) 2) 1) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (pow (exp x) 2) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)))
#s(approx (pow (exp x) 2) #s(literal 1 binary64))
#s(approx (pow (exp x) 2) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 2) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (exp x) 2) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64)))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2/15 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/15 binary64)))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))))
#s(approx (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 2/15 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 2/15 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
#s(approx (- (* 2/15 (* x x)) 1/3) (.f64 (-.f64 #s(literal 2/15 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -17/315 binary64)))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -17/315 binary64)))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -17/315 binary64)))
#s(approx (* (+ (* -17/315 (* x x)) 2/15) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -17/315 (* x x)) 2/15) (.f64 #s(literal -17/315 binary64) (.f64 x x)))
#s(approx (+ (* -17/315 (* x x)) 2/15) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64)) #s(literal 17/315 binary64)) (*.f64 x x)))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (+ (pow (exp x) 2) 1) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
#s(approx (pow (exp x) 2) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 2/15 (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 2/15 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 17/315 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -17/315 (* x x)) 2/15) (* x x)) 1/3) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/315 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/15 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (pow (exp x) 2) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

eval46.0ms (0.8%)

Memory: 3.9MiB live, 90.4MiB allocated; 25ms collecting garbage
Compiler: Compiled 8 251 to 983 computations (88.1% saved)

prune520.0ms (9.2%)

Memory

-82.0MiB live, 31.0MiB allocated; 1.1s collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	251	7	258

Accuracy

100.0%

Counts

258 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
✓	100.0%	(tanh.f64 x)
	96.7%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
✓	96.5%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
✓	96.7%	#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
✓	96.4%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
✓	96.5%	#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Compiler

Compiled 354 to 156 computations (55.9% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(tanh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
100.0%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Outputs

#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.7%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x))

#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Accuracy	Segments	Branch
96.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.7%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory

-75.0MiB live, 5.5MiB allocated; 8ms collecting garbage

Accuracy

Total -0.2b remaining (-10%)

Threshold costs -0.2b (-10%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x

Results

Accuracy	Segments	Branch
96.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
96.5%	1	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify51.0ms (0.9%)

Memory

30.8MiB live, 77.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	75
1	65	53
2	179	42
3	650	42
4	3946	42

Stop Event

1×	node limit

Calls

Call 1

Inputs
(tanh.f64 x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

Outputs
(tanh.f64 x)
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x) x))))
#s(approx (/ (- (exp (+ x x)) 1) (+ (* (exp x) (exp x)) 1)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x)

derivations95.0ms (1.7%)

Memory

-27.9MiB live, 114.8MiB allocated; 15ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 75 to 25 computations (66.7% saved)

preprocess26.0ms (0.4%)

Memory: 42.9MiB live, 42.9MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 188 to 76 computations (59.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.7s (65.9%)

explain311.0ms (5.5%)

preprocess160.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite206.0ms (3.6%)

eval19.0ms (0.3%)

prune5.0ms (0.1%)

series13.0ms (0.2%)

rewrite177.0ms (3.1%)

eval26.0ms (0.5%)

prune29.0ms (0.5%)

series6.0ms (0.1%)

rewrite53.0ms (0.9%)

eval15.0ms (0.3%)

prune8.0ms (0.1%)

series10.0ms (0.2%)

rewrite132.0ms (2.3%)

eval46.0ms (0.8%)

prune520.0ms (9.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.1%)

simplify51.0ms (0.9%)

derivations95.0ms (1.7%)

preprocess26.0ms (0.4%)

end0.0ms (0%)

Profiling