Metrics for Hyperbolic sine

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.9s (48.4%)

Memory

-1.2MiB live, 1 208.9MiB allocated; 215ms collecting garbage

Samples

800.0ms	1 729×	2	valid
462.0ms	2 316×	1	valid
248.0ms	4 211×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 827.0ms (67.7% of total)

adjust: 132.0ms (10.8% of total)

ival-sub: 104.0ms (8.5% of total)

ival-div: 93.0ms (7.6% of total)

ival-neg: 57.0ms (4.7% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain172.0ms (4.4%)

Memory

10.6MiB live, 103.8MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	0	-	-	`(-.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	1	(551.2475124342607)	-	`(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	131	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	131	0
-	1	124

Precision

0.9924242424242424

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	1	0	124

Precision?

0.9924242424242424

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

47.0ms	120×	2	valid
22.0ms	138×	1	valid
14.0ms	254×	0	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-exp: 45.0ms (68% of total)

adjust: 8.0ms (12.1% of total)

ival-div: 6.0ms (9.1% of total)

ival-sub: 4.0ms (6% of total)

ival-neg: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess209.0ms (5.3%)

Memory

-45.8MiB live, 152.6MiB allocated; 35ms 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
0	7	8
0	12	2
1	25	2
2	57	2
3	236	2
4	1517	2
5	7052	2
0	8150	2

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 8 to 7 computations (12.5% saved)

series3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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)

rewrite194.0ms (4.9%)

Memory

34.7MiB live, 173.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

32 → 88

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (neg x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (neg x)))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(hole binary64 (* 1/2 (- (exp x) (exp (* -1 x))))))
#s(approx (- (exp x) (exp (neg x))) #s(hole binary64 (- (exp x) (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval27.0ms (0.7%)

Memory: -28.7MiB live, 18.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 211 to 326 computations (73.1% saved)

prune34.0ms (0.9%)

Memory

-1.9MiB live, 45.1MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Accuracy

100.0%

Counts

88 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	93.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))

Status

Accuracy

Program

100.0%

(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

▶

93.4%

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series6.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

11 → 29

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)
2.0ms	x	@	-inf	((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)
1.0ms	x	@	0	((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)

2.0ms

-inf

((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)

1.0ms

((/ (- (exp x) (exp (neg x))) 2) (+ (* (pow x 3) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) x) (pow x 3) x 3 (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 (* x x) 1/120 1/6)

rewrite157.0ms (4%)

Memory

23.6MiB live, 170.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	717
0	125	636
1	617	620
0	5323	601

Stop Event

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

Counts

40 → 183

Calls

Call 1

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

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

eval29.0ms (0.7%)

Memory: -1.7MiB live, 45.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 6 923 to 861 computations (87.6% saved)

prune885.0ms (22.5%)

Memory

-18.9MiB live, 1 117.6MiB allocated; 62ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	214	2	216

Accuracy

100.0%

Counts

216 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	93.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))

Status

Accuracy

Program

▶

100.0%

(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

✓

93.4%

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

7 → 26

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
x

Outputs
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 x))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* 4 x)))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* 2/3 (pow x 2))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 2))))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 x #s(hole binary64 x))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* 2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)
2.0ms	x	@	inf	((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)
1.0ms	x	@	0	((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)

Time

Variable

Point

Expression

2.0ms

-inf

((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)

2.0ms

inf

((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)

1.0ms

((/ (/ (* 2 (* (sinh x) 2)) 2) 2) (/ (* 2 (* (sinh x) 2)) 2) (* 2 (* (sinh x) 2)) 2 (* (sinh x) 2) (sinh x) x)

rewrite131.0ms (3.3%)

Memory

17.0MiB live, 161.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	487
0	111	510
1	568	378
0	4719	348

Stop Event

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

Counts

33 → 140

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
x
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 x))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* 4 x)))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* 2/3 (pow x 2))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 2))))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* 2 x)))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* 1/3 (pow x 2))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (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 x #s(hole binary64 x))
#s(approx (/ (/ (* 2 (* (sinh x) 2)) 2) 2) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (* 2 (* (sinh x) 2)) #s(hole binary64 (* 2 (- (exp x) (/ 1 (exp x))))))
#s(approx (* (sinh x) 2) #s(hole binary64 (- (exp x) (/ 1 (exp x)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 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 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (sinh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (sinh.f64 x) #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(-.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 (sinh.f64 x)) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(literal 2 binary64)
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (sinh.f64 x))
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 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 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
x
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (.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 (/ (* 2 (* (sinh x) 2)) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* 2 (* (sinh x) 2)) (*.f64 #s(literal 4 binary64) x))
#s(approx (* 2 (* (sinh x) 2)) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* 2 (* (sinh x) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/30 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
#s(approx (* 2 (* (sinh x) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1260 binary64) (.f64 x x) #s(literal 1/30 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (.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 (/ (* 2 (* (sinh x) 2)) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (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 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (sinh x) (sinh.f64 x))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (* 2 (* (sinh x) 2)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
#s(approx (/ (* 2 (* (sinh x) 2)) 2) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
#s(approx (sinh x) (sinh.f64 x))

eval9.0ms (0.2%)

Memory: 17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 447 to 295 computations (79.6% saved)

prune76.0ms (1.9%)

Memory

-13.6MiB live, 82.4MiB allocated; 7ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Accuracy

100.0%

Counts

92 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	93.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))

Status

Accuracy

Program

✓

100.0%

(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

✓

93.4%

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

Compiler

Compiled 78 to 52 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Accuracy

Total -34.0b remaining (-871618.2%)

Threshold costs -34b (-871618.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

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

Outputs
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

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
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)

simplify39.0ms (1%)

Memory

-26.1MiB live, 65.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	12	10
3	18	10
4	50	10
5	372	10
6	3456	10

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

derivations17.0ms (0.4%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 10 to 7 computations (30% saved)

preprocess34.0ms (0.9%)

Memory: -21.5MiB live, 24.4MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (48.4%)

explain172.0ms (4.4%)

preprocess209.0ms (5.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite194.0ms (4.9%)

eval27.0ms (0.7%)

prune34.0ms (0.9%)

series6.0ms (0.2%)

rewrite157.0ms (4%)

eval29.0ms (0.7%)

prune885.0ms (22.5%)

series5.0ms (0.1%)

rewrite131.0ms (3.3%)

eval9.0ms (0.2%)

prune76.0ms (1.9%)

regimes4.0ms (0.1%)

simplify39.0ms (1%)

derivations17.0ms (0.4%)

preprocess34.0ms (0.9%)

end0.0ms (0%)

Profiling