Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.5s (58%)

Memory

64.4MiB live, 2 216.2MiB allocated; 305ms collecting garbage

Samples

613.0ms	1 658×	2	valid
449.0ms	2 373×	1	valid
213.0ms	4 225×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 993.0ms

ival-exp: 756.0ms (76.1% of total)

adjust: 81.0ms (8.2% of total)

ival-div!: 75.0ms (7.6% of total)

ival-neg: 41.0ms (4.1% of total)

ival-sub!: 39.0ms (3.9% of total)

Bogosity

explain131.0ms (4.9%)

Memory

-0.9MiB live, 186.6MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
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	124	0

Confusion

	Predicted +	Predicted -
+	124	0
-	0	132

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	0	0	132

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	78×	2	valid
24.0ms	160×	1	valid
19.0ms	274×	0	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 36.0ms (73% of total)

adjust: 4.0ms (8.1% of total)

ival-div!: 4.0ms (8.1% of total)

ival-neg: 3.0ms (6.1% of total)

ival-sub!: 2.0ms (4.1% of total)

preprocess41.0ms (1.5%)

Memory

-31.0MiB live, 17.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	40	7
2	94	7
3	549	7
4	5154	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

7 → 25

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#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))) 2) #s(hole binary64 (* 1/2 (- (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))) 2) #s(hole binary64 (* 1/2 (- (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))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)
1.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

1.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) x (exp (neg x)) (neg x) 2)

rewrite150.0ms (5.6%)

Memory

28.9MiB live, 168.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	354
0	112	285
1	626	274
0	5383	252

Stop Event

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

Counts

32 → 88

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#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))) 2) #s(hole binary64 (* 1/2 (- (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))) 2) #s(hole binary64 (* 1/2 (- (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))))

Outputs
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (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 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.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 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (.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 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.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 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (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 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (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 #s(literal 2 binary64) (cosh.f64 x)) (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)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.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 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.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)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 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))) 2) (*.f64 #s(literal 1 binary64) (sinh.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))) 2) (*.f64 #s(literal 1 binary64) (sinh.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)))

eval17.0ms (0.6%)

Memory: -19.2MiB live, 30.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 149 to 324 computations (71.8% saved)

prune4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Accuracy

100.0%

Counts

80 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(/.f64 (-.f64 (exp.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)))))) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	87.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
▶	82.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
▶	50.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 154 to 104 computations (32.5% saved)

series29.0ms (1.1%)

Memory

7.8MiB live, 54.7MiB allocated; 2ms collecting garbage

Counts

25 → 84

Calls

Call 1

Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
(/.f64 (-.f64 (exp.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)))))) #s(literal 2 binary64))
(-.f64 (exp.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))))))
(exp.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 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
(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))))
(fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal 2 binary64)

Outputs
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 x))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 x))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)
11.0ms	x	@	inf	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)
3.0ms	x	@	0	((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)

Time

Variable

Point

Expression

12.0ms

-inf

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)

11.0ms

inf

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)

3.0ms

((sinh x) x (/ (- (exp x) (exp (neg x))) 2) (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) 1/6) x) (pow x 3) 3 1/6 (/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (+ (* 1/120 (* x x)) 1/6) 1/120 (* x x) (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) (pow (sinh x) 3) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (* (cosh x) (sinh x)) 2)

rewrite184.0ms (6.9%)

Memory

13.0MiB live, 246.3MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	2269
0	376	1898
1	2027	1503
0	9329	1424

Stop Event

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

Counts

109 → 309

Calls

Call 1

Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
(/.f64 (-.f64 (exp.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)))))) #s(literal 2 binary64))
(-.f64 (exp.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))))))
(exp.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 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
(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))))
(fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x)))
(*.f64 (cosh.f64 x) (sinh.f64 x))
#s(literal 2 binary64)
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 x))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 x))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* 2/3 (pow x 2))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2))))))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (pow x 3) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(hole binary64 (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) #s(hole binary64 (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/4 (pow (- (exp x) (/ 1 (exp x))) 2)))))
#s(approx (* (cosh x) (sinh x)) #s(hole binary64 (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))))

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(approx (sinh x) x)
#s(approx (sinh x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 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 1/6 binary64)
#s(approx (sinh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
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(cosh.f64 x)
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#s(literal 2 binary64)
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) 1/6) x) x)
#s(approx (+ (* (pow x 3) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) x)
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh 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) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh 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 #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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) #s(literal 1 binary64))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (fma.f64 (-.f64 (*.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 (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(literal 1 binary64))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/8 binary64) x) #s(literal 1 binary64)) x #s(literal 3/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) 3) #s(literal 1 binary64))
#s(approx (pow (cosh x) 3) (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) 3) (fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (cosh x) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (.f64 x x) #s(literal 7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (pow (sinh x) 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (pow (sinh x) 3) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow (sinh x) 3) (.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow (sinh x) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 41/3024 binary64) (.f64 x x) #s(literal 13/120 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) #s(literal 1 binary64))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) x)
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (*.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (cosh x) (sinh x)) x)
#s(approx (* (cosh x) (sinh x)) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (cosh x) (sinh x)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (cosh x) (sinh x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x 3) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (pow x 3) 1/6) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/120 binary64)) (.f64 x x)))
#s(approx (sinh x) (.f64 (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))))) (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))))) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))))
#s(approx (pow (cosh x) 3) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (cosh x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (pow (sinh x) 3) (.f64 (.f64 #s(literal 8 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))
#s(approx (+ (* (cosh x) (cosh x)) (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x)))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))))))
#s(approx (+ (* (sinh x) (sinh x)) (* (cosh x) (sinh x))) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 4 binary64) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))))
#s(approx (* (cosh x) (sinh x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x 3) (+ (* 1/120 (* x x)) 1/6)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval47.0ms (1.8%)

Memory: -6.5MiB live, 94.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 764 to 1 916 computations (85% saved)

prune8.0ms (0.3%)

Memory

-28.4MiB live, 18.7MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	371	1	372
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	372	5	377

Accuracy

100.0%

Counts

377 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(/.f64 (-.f64 (exp.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 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x)))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	87.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
✓	82.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
✓	50.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 75 to 52 computations (30.7% saved)

series16.0ms (0.6%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Counts

15 → 61

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 x))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 1))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)
7.0ms	x	@	-inf	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)
1.0ms	x	@	0	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)

Time

Variable

Point

Expression

7.0ms

inf

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)

7.0ms

-inf

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)

1.0ms

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (* (sinh x) (+ (sinh x) (cosh x))) (+ (sinh x) (cosh x)) 2)

rewrite153.0ms (5.7%)

Memory

-16.9MiB live, 214.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1709
0	280	1607
1	1582	1046
0	8345	967

Stop Event

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

Counts

76 → 223

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.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 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x)))))) #s(literal 2 binary64))
(-.f64 (exp.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 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x))))))
(exp.f64 x)
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 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x)))))
(-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
#s(literal 3 binary64)
(pow.f64 (sinh.f64 x) #s(literal 3 binary64))
(sinh.f64 x)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 x))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 1))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) #s(hole binary64 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x))))))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) #s(hole binary64 (* 1/2 (* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x))))) (- (exp x) (/ 1 (exp x)))))))
#s(approx (+ (sinh x) (cosh x)) #s(hole binary64 (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp x) (/ 1 (exp x)))))))

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.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) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
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(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)) (exp.f64 x)))
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#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) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (.f64 (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x))))) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)))))
#s(approx (pow (cosh x) 3) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (cosh x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (pow (sinh x) 3) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))))) 2) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (+ (sinh x) (cosh x)))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (sinh x) (+ (sinh x) (cosh x))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
#s(approx (exp x) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))

eval27.0ms (1%)

Memory: 9.0MiB live, 55.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 8 144 to 1 267 computations (84.4% saved)

prune5.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	225	5	230

Accuracy

100.0%

Counts

230 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(/.f64 (-.f64 (exp.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 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	87.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
✓	82.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
✓	50.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 72 to 51 computations (29.2% saved)

series16.0ms (0.6%)

Memory

-29.7MiB live, 25.1MiB allocated; 4ms collecting garbage

Counts

14 → 56

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.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 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64))
(-.f64 (exp.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 (sinh.f64 x) (exp.f64 x)))))
(exp.f64 x)
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 (sinh.f64 x) (exp.f64 x))))
(-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
#s(literal 3 binary64)
(pow.f64 (sinh.f64 x) #s(literal 3 binary64))
(sinh.f64 x)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(*.f64 (sinh.f64 x) (exp.f64 x))
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 x))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)
6.0ms	x	@	inf	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)
1.0ms	x	@	0	((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)

Time

Variable

Point

Expression

8.0ms

-inf

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)

6.0ms

inf

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)

1.0ms

((/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (exp x) x (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (- (pow (cosh x) 3) (pow (sinh x) 3)) (pow (cosh x) 3) (cosh x) 3 (pow (sinh x) 3) (sinh x) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (* (sinh x) (exp x)) 2)

rewrite196.0ms (7.4%)

Memory

-4.0MiB live, 241.1MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	1420
0	269	1389
1	1539	1301
0	8470	1215

Stop Event

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

Counts

70 → 155

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.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 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64))
(-.f64 (exp.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 (sinh.f64 x) (exp.f64 x)))))
(exp.f64 x)
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 (sinh.f64 x) (exp.f64 x))))
(-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
#s(literal 3 binary64)
(pow.f64 (sinh.f64 x) #s(literal 3 binary64))
(sinh.f64 x)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x)))
(*.f64 (sinh.f64 x) (exp.f64 x))
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp 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 (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 1))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 1))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* -1 x))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* x (- (* 7/8 x) 1)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 1))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* 3/2 (pow x 2)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (pow x 3)))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/2 (pow x 2))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 13/120 (pow x 2))))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 13/120 (* 41/3024 (pow x 2))))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 1))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 (* x (+ 1 (* 2 x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 2 (* 2/3 x))))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 x))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* 2/3 x)))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 2/3 (* 1/3 x)))))))))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))))))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) #s(hole binary64 (- (+ (exp x) (* 1/8 (/ (pow (- (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))) (* 1/8 (/ (pow (+ (exp x) (/ 1 (exp x))) 3) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) #s(hole binary64 (/ (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) #s(hole binary64 (- (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3)))))
#s(approx (pow (cosh x) 3) #s(hole binary64 (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (pow (sinh x) 3) #s(hole binary64 (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) #s(hole binary64 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x))))))))
#s(approx (* (sinh x) (exp x)) #s(hole binary64 (* 1/2 (* (exp x) (- (exp x) (/ 1 (exp x)))))))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 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 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))
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(cosh.f64 (neg.f64 (neg.f64 x)))
(cosh.f64 (neg.f64 x))
(cosh.f64 x)
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#s(literal 3 binary64)
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(*.f64 (sinh.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (sinh.f64 x))
#s(literal 2 binary64)
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#s(approx x x)
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#s(approx (sinh x) x)
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#s(approx (* (sinh x) (exp x)) x)
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#s(approx (* (sinh x) (exp x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 2/3 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) 2) (.f64 (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64)))
#s(approx (- (exp x) (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))))) (+.f64 (exp.f64 x) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (pow (cosh x) 3) (pow (sinh x) 3)) (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x)))) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
#s(approx (- (pow (cosh x) 3) (pow (sinh x) 3)) (.f64 #s(literal 1/8 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)))))
#s(approx (pow (cosh x) 3) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (cosh x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (pow (sinh x) 3) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cosh x) (cosh x)) (* (sinh x) (exp x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (sinh x) (exp x)) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))

eval23.0ms (0.9%)

Memory: 1.3MiB live, 47.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 938 to 1 074 computations (84.5% saved)

prune5.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	189	5	194

Accuracy

100.0%

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.1%	(/.f64 (-.f64 (exp.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 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64))
✓	100.0%	(sinh.f64 x)
✓	87.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
✓	82.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
✓	50.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 210 to 97 computations (53.8% saved)

regimes7.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (-.f64 (exp.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 (sinh.f64 x) (exp.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.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 (sinh.f64 x) (+.f64 (sinh.f64 x) (cosh.f64 x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.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)))))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

-39.2MiB live, 8.0MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Calls

3 calls:

1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
50.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
50.6%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

derivations35.0ms (1.3%)

Memory

-3.9MiB live, 48.0MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 12 to 9 computations (25% saved)

preprocess19.0ms (0.7%)

Memory: 41.9MiB live, 41.9MiB allocated; 0ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 64 to 52 computations (18.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (58%)

explain131.0ms (4.9%)

preprocess41.0ms (1.5%)

series3.0ms (0.1%)

rewrite150.0ms (5.6%)

eval17.0ms (0.6%)

prune4.0ms (0.1%)

series29.0ms (1.1%)

rewrite184.0ms (6.9%)

eval47.0ms (1.8%)

prune8.0ms (0.3%)

series16.0ms (0.6%)

rewrite153.0ms (5.7%)

eval27.0ms (1%)

prune5.0ms (0.2%)

series16.0ms (0.6%)

rewrite196.0ms (7.4%)

eval23.0ms (0.9%)

prune5.0ms (0.2%)

regimes7.0ms (0.3%)

regimes4.0ms (0.1%)

derivations35.0ms (1.3%)

preprocess19.0ms (0.7%)

end0.0ms (0%)

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