Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 (47.7%)

Memory

29.1MiB live, 2 638.9MiB allocated; 313ms collecting garbage

Samples

626.0ms	1 759×	2	valid
370.0ms	2 293×	1	valid
200.0ms	4 204×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 996.0ms

ival-exp: 723.0ms (72.6% of total)

adjust: 83.0ms (8.3% of total)

ival-div!: 75.0ms (7.5% of total)

ival-neg: 74.0ms (7.4% of total)

ival-sub!: 41.0ms (4.1% of total)

Bogosity

explain150.0ms (4.7%)

Memory

-36.7MiB live, 206.9MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
136	-	1	(0.014085493592739428)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	135	1

Confusion

	Predicted +	Predicted -
+	135	1
-	0	120

Precision

1.0

Recall

0.9926470588235294

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	1	0
-	0	1	119

Precision?

0.9927007299270073

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	142×	2	valid
25.0ms	126×	1	valid
13.0ms	244×	0	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-exp: 59.0ms (73.6% of total)

ival-div!: 9.0ms (11.2% of total)

adjust: 6.0ms (7.5% of total)

ival-sub!: 3.0ms (3.7% of total)

ival-neg: 3.0ms (3.7% of total)

preprocess32.0ms (1%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms 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
▶	51.0%	(/.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

2.4MiB live, 2.4MiB 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)

rewrite169.0ms (5.3%)

Memory

-10.7MiB live, 177.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	354
0	111	285
1	625	274
0	5382	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 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #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 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))
(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 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))))
(-.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)))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.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))
(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 (-.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)))
(*.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) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #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) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x 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 (.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)) 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)))

eval8.0ms (0.2%)

Memory: 25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 164 to 332 computations (71.5% saved)

prune7.0ms (0.2%)

Memory

-30.8MiB live, 11.0MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Accuracy

100.0%

Counts

81 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sinh.f64 x)
▶	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
▶	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
▶	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 56 to 41 computations (26.8% saved)

series10.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

17 → 56

Calls

Call 1

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

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 x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (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 (* -1 x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))
3.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))

3.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) x (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* x x) 1/6 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 (sinh x))

rewrite188.0ms (5.9%)

Memory

14.5MiB live, 156.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1410
0	190	1272
1	782	1230
0	6038	1176

Stop Event

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

Counts

73 → 371

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(sinh.f64 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 x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (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 (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (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 (* -1 x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))

Outputs
#s(approx (sinh x) x)
x
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))) (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 1 binary64) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (sinh x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
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(fma.f64 #s(literal 1/120 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/120 binary64)) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x)) x))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/5040 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (.f64 #s(literal 1/5040 binary64) x) (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))
(.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(.f64 x (.f64 x (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/128024064000 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) #s(literal 1/25401600 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/128024064000 binary64))) (fma.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) #s(literal 1/25401600 binary64)))
(/.f64 (-.f64 #s(literal 1/1728000 binary64) (pow.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64)) (.f64 #s(literal 1/604800 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/1728000 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64)))
(/.f64 (fma.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64)) (.f64 #s(literal 1/604800 binary64) (.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 #s(literal 1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 #s(literal 1/5040 binary64) x) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 (/.f64 #s(literal -1/120 binary64) (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/5040 binary64) x)) x))
(-.f64 #s(literal 1/120 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/5040 binary64)))
(-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (/.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/128024064000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (-.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64)) (.f64 #s(literal 1/604800 binary64) (.f64 x x)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/14400 binary64)) (.f64 #s(literal 1/604800 binary64) (.f64 x x)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.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 (exp.f64 (+.f64 x x)) (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #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)))
#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 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) x)
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) 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 (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 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 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (sinh x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval49.0ms (1.5%)

Memory: 6.5MiB live, 95.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 13 450 to 1 940 computations (85.6% saved)

prune414.0ms (13%)

Memory

-42.8MiB live, 49.4MiB allocated; 805ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	398	6	404
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	399	9	408

Accuracy

100.0%

Counts

408 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
▶	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
▶	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
✓	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
▶	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
▶	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 305 to 220 computations (27.9% saved)

series12.0ms (0.4%)

Memory

-34.8MiB live, 24.6MiB allocated; 5ms collecting garbage

Counts

22 → 59

Calls

Call 1

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

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 (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))
3.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))

Time

Variable

Point

Expression

6.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))

3.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) 1/6 x 1 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* (* x x) x) 1/6) (* (* x x) x) (* x x) (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* x x) (* 1/6 x)) x) (* 1/6 x) (/ (- (exp x) (exp (neg x))) 2) (+ (* (* (* x x) x) 1/6) x))

rewrite208.0ms (6.5%)

Memory

12.8MiB live, 154.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	1672
0	200	1538
1	849	1441
0	6300	1300

Stop Event

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

Counts

81 → 279

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 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 (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* (* (* x x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* 1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/6) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* x x) (* 1/6 x)) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)) x) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64))) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))))
(fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x x)
(fma.f64 x (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x)
(+.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) x)
(+.f64 (.f64 x (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) x)
(+.f64 x (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x))
(+.f64 x (.f64 x (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal -1 binary64)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x)) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) x) (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))))
(fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(approx (+ ( (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
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(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) x) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x))) (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 1 binary64) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
(-.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal 1/6 binary64)))
(-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(-.f64 x (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x)))
(-.f64 x (.f64 (.f64 (neg.f64 x) x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 x (-.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)) x)
(+.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #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) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) x)
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (+ (* (* x x) (* 1/6 x)) x) x)
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* (* x x) x) 1/6) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) x)
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) x)
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (.f64 (.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x)))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) (* 1/6 x)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (*.f64 x x)) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 5 binary64))))

eval30.0ms (1%)

Memory: -15.2MiB live, 30.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 773 to 1 068 computations (87.8% saved)

prune10.0ms (0.3%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	289	11	300

Accuracy

100.0%

Counts

300 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
▶	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
✓	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
▶	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
▶	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 222 to 161 computations (27.5% saved)

series7.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

16 → 25

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)
2.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)

2.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)

2.0ms

((/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (* (* x x) (* 1/6 x)) (* x x) x (* 1/6 x) 1/6 (/ (- (exp x) (exp (neg x))) 2) (* (+ (* (* x x) 1/6) 1) x) (+ (* (* x x) 1/6) 1) (* (* 1/6 x) x) (/ (- (exp x) (exp (neg x))) 2) (- x (* (* -1/6 (* x x)) x)) (* (* -1/6 (* x x)) x) (* -1/6 (* x x)) -1/6)

rewrite118.0ms (3.7%)

Memory

-16.4MiB live, 70.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	525
0	104	452
1	392	404
0	2687	373

Stop Event

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

Counts

41 → 159

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 x #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (neg.f64 (.f64 #s(literal -1/6 binary64) x)) x)
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 (.f64 x x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x x) x) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x) (*.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (neg.f64 x)) (neg.f64 x) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) x) x)
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/36 binary64)) (fma.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x) (.f64 x x))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x x) (*.f64 x x))))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 (neg.f64 (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 x (.f64 (.f64 (neg.f64 x) x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(+.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(+.f64 x (.f64 (neg.f64 (.f64 (*.f64 x x) x)) #s(literal -1/6 binary64)))
(+.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 x (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) x))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
(.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/6 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(.f64 x (.f64 #s(literal -1/6 binary64) x))
(neg.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (fma.f64 #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) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (* (* x x) (* 1/6 x)) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) x)
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (* (* -1/6 (* x x)) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (* -1/6 (* x x)) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* x x) 1/6) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))

eval14.0ms (0.4%)

Memory: 21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 180 to 658 computations (84.3% saved)

prune10.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	164	11	175

Accuracy

100.0%

Counts

175 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sinh.f64 x)
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64) x))
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x))
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (-.f64 x (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)))
✓	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
✓	82.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 #s(approx (+ ( (* x x) 1/6) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) x))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))))
✓	32.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (* (+ (* (* x x) 1/6) 1) x) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))))
✓	55.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) x)

Compiler

Compiled 469 to 232 computations (50.5% saved)

regimes20.0ms (0.6%)

Memory

-35.1MiB live, 19.1MiB allocated; 11ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs
(sinh.f64 x)

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
3.0ms	(-.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)

regimes8.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
82.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes20.0ms (0.6%)

Memory

-21.0MiB live, 21.3MiB allocated; 8ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	x
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
81.9%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
81.9%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
81.9%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms 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	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
55.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
55.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
55.2%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch12.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.07984839842726248	64.00708310323827

Samples

6.0ms

128×

valid

Compiler

Compiled 299 to 243 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (75.3% of total)

ival-neg: 1.0ms (25.1% of total)

ival-div!: 1.0ms (25.1% of total)

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

adjust: 0.0ms (0% of total)

derivations108.0ms (3.4%)

Memory

-14.2MiB live, 72.8MiB allocated; 16ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 69 to 28 computations (59.4% saved)

preprocess52.0ms (1.6%)

Memory: -15.8MiB live, 44.5MiB allocated; 6ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 215 to 127 computations (40.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (47.7%)

explain150.0ms (4.7%)

preprocess32.0ms (1%)

series3.0ms (0.1%)

rewrite169.0ms (5.3%)

eval8.0ms (0.2%)

prune7.0ms (0.2%)

series10.0ms (0.3%)

rewrite188.0ms (5.9%)

eval49.0ms (1.5%)

prune414.0ms (13%)

series12.0ms (0.4%)

rewrite208.0ms (6.5%)

eval30.0ms (1%)

prune10.0ms (0.3%)

series7.0ms (0.2%)

rewrite118.0ms (3.7%)

eval14.0ms (0.4%)

prune10.0ms (0.3%)

regimes20.0ms (0.6%)

regimes8.0ms (0.3%)

regimes20.0ms (0.6%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.4%)

derivations108.0ms (3.4%)

preprocess52.0ms (1.6%)

end0.0ms (0%)

Profiling