Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

sample2.1s (30.2%)

Memory

28.4MiB live, 1 804.8MiB allocated

Samples

803.0ms	1 533×	2	valid
576.0ms	2 447×	1	valid
290.0ms	4 276×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 985.0ms (71.7% of total)

ival-div: 149.0ms (10.8% of total)

adjust: 123.0ms (9% of total)

ival-sub: 67.0ms (4.9% of total)

ival-neg: 34.0ms (2.5% of total)

ival-true: 7.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain146.0ms (2.1%)

Memory

18.0MiB live, 265.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
125	-	1	(0.007942998929703278)	`(-.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	124	1

Confusion

	Predicted +	Predicted -
+	124	1
-	0	131

Precision

1.0

Recall

0.992

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	1	0
-	0	2	129

Precision?

0.984251968503937

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	100×	2	valid
28.0ms	148×	1	valid
16.0ms	264×	0	valid

Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-exp: 46.0ms (71.2% of total)

ival-div: 6.0ms (9.3% of total)

adjust: 4.0ms (6.2% of total)

ival-sub: 4.0ms (6.2% of total)

ival-neg: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess171.0ms (2.5%)

Memory

3.0MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	45	7
2	130	5
3	719	5
4	5446	5
0	7	8
0	12	2
1	31	2
2	84	2
3	400	2
4	2894	2
0	9007	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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize100.0ms (1.5%)

Memory

12.7MiB live, 87.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	29.251954969593918	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

18.0ms	50×	2	valid
13.0ms	74×	1	valid
10.0ms	132×	0	valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 21.0ms (71.1% of total)

ival-div: 3.0ms (10.2% of total)

adjust: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

4 → 17

Calls

Call 1

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

Outputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
0.0ms	x	@	inf	((- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
0.0ms	x	@	-inf	((- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

simplify203.0ms (3%)

Memory

-12.6MiB live, 203.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	122
1	207	121
2	677	121
3	2682	119
4	6377	119
0	9068	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))

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

rewrite133.0ms (1.9%)

Memory

11.2MiB live, 166.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	9	11
1	39	11
2	301	11
0	3874	11

Stop Event

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

Counts

4 → 308

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(.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 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x))) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)))
(*.f64 (pow.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 -1 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) (.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (/.f64 #s(literal 1 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 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 #s(literal 1/2 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 (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 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.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 -1 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (pow.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 -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64)) (cosh.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (pow.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 -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64))) (pow.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 -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 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))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (.f64 (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (.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 (/.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 (/.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 (-.f64 (*.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (exp.f64 x) (cosh.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (exp.f64 x) (cosh.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (exp.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))))
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(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (sinh.f64 x) (cosh.f64 x))
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(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (cosh.f64 x))
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(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
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(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
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(neg.f64 x)
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(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
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(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
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(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) x)
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eval36.0ms (0.5%)

Memory: -4.5MiB live, 71.7MiB allocated
Compiler: Compiled 6 893 to 1 175 computations (83% saved)

prune8.0ms (0.1%)

Memory

-18.8MiB live, 20.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	318	5	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	319	5	324

Accuracy

100.0%

Counts

324 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	93.5%	(/.f64 #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(literal 2 binary64))
▶	91.6%	(/.f64 #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(literal 2 binary64))
▶	83.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	51.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))

Compiler

Compiled 168 to 112 computations (33.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize151.0ms (2.2%)

Memory

-15.9MiB live, 193.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(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))
accuracy	0.03125	(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))
accuracy	0.0546875	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	4.127622676238247	#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))
accuracy	0.01953125	(.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)
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	5.3804269516638215	#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))
accuracy	0.0	(*.f64 x x)
accuracy	0.05078125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
accuracy	0.08984375	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	10.480443366778598	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
accuracy	0.0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.929629609253134	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 (sinh.f64 x) #s(literal 2 binary64))
accuracy	0.0	(sinh.f64 x)

Samples

46.0ms	74×	1	valid
40.0ms	50×	2	valid
30.0ms	132×	0	valid

Compiler

Compiled 492 to 63 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 26.0ms (27.9% of total)

ival-exp: 21.0ms (22.5% of total)

const: 16.0ms (17.2% of total)

adjust: 10.0ms (10.7% of total)

ival-add: 9.0ms (9.7% of total)

ival-div: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.1% of total)

ival-sinh: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

18 → 46

Calls

Call 1

Inputs
(sinh.f64 x)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(*.f64 x 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))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(.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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(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))
(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))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (exp (neg x)))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(- (exp x) (exp (* -1 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))
4.0ms	x	@	inf	((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))
2.0ms	x	@	0	((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))

Time

Variable

Point

Expression

4.0ms

-inf

((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))

4.0ms

inf

((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))

2.0ms

((sinh x) (* (sinh x) 2) (/ (* (sinh x) 2) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ (* (* x x) 1/3) 2) (* (+ (* (* x x) 1/3) 2) x) (* x x) (- (exp x) (exp (neg x))) (+ (* 1/60 (* x x)) 1/3) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (- (exp x) (exp (neg x))) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2))

simplify140.0ms (2%)

Memory

1.0MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	430
1	395	424
2	1306	424
3	5943	414
0	8296	387

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (exp (neg x)))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(- (exp x) (exp (* -1 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow 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)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 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)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 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)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(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))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(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))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64))
(- (exp x) (/ 1 (exp x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(- (exp x) (exp (neg x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (+.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/60 (pow x 2))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) #s(literal 2 binary64))
(- (exp x) (exp (* -1 x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (+.f64 (sinh.f64 x) (sinh.f64 x)) #s(literal 1/2 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))

rewrite282.0ms (4.1%)

Memory

-2.3MiB live, 236.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	177
0	49	163
1	205	163
2	1543	163
0	8161	163

Stop Event

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

Counts

18 → 693

Calls

Call 1

Inputs
(sinh.f64 x)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(*.f64 x 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))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(.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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(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))
(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))

Outputs
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))
(*.f64 (/.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)))) (sinh.f64 x))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.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)))) #s(literal -1 binary64)) (pow.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 -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal -1 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 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.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)) (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.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))) (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 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #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 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (*.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 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.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)) (.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 (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 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.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)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 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 #s(literal 0 binary64) (sinh.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.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)) (.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 (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 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (/.f64 #s(literal -1 binary64) (exp.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 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (pow.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 -1 binary64)))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (exp.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.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))) (fma.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 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 (/.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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)))) (fma.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 (/.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 (+.f64 (pow.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (exp.f64 x) (cosh.f64 x)) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (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 -2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))))))
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(/.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.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) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (.f64 #s(literal 2 binary64) x))) (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(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)) (neg.f64 x)) (neg.f64 x) #s(literal 2 binary64))
(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))
(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))
(fma.f64 (.f64 x x) (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)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (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))) #s(literal 2 binary64))
(fma.f64 x (.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) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.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))) (/.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (.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))))
(-.f64 (/.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (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))) (/.f64 #s(literal 4 binary64) (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))))
(-.f64 #s(literal 2 binary64) (.f64 (neg.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))
(-.f64 #s(literal 2 binary64) (.f64 (neg.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)))
(-.f64 #s(literal 2 binary64) (.f64 (neg.f64 (.f64 x x)) (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 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.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) (.f64 #s(literal 2 binary64) x))))) (/.f64 (.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.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) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 (.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.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) (.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.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) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (/.f64 #s(literal 8 binary64) (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 8 binary64) (-.f64 (fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (.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) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (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))) (/.f64 #s(literal -4 binary64) (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))))
(+.f64 (.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))
(+.f64 #s(literal 2 binary64) (.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))

eval181.0ms (2.6%)

Memory: 30.2MiB live, 183.6MiB allocated
Compiler: Compiled 28 123 to 4 048 computations (85.6% saved)

prune26.0ms (0.4%)

Memory

-10.0MiB live, 63.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	791	11	802
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	795	12	807

Accuracy

100.0%

Counts

807 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) x)) x)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.5%	(/.f64 #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(literal 2 binary64))
▶	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	83.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	37.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
▶	51.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))

Compiler

Compiled 546 to 365 computations (33.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize181.0ms (2.6%)

Memory

-0.3MiB live, 299.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.12890625	(.f64 #s(literal 1/2520 binary64) (.f64 x x))
accuracy	4.127622676238247	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	30.80563403529322	#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
accuracy	0.03515625	(fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.15234375	(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	5.3804269516638215	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
accuracy	0.05078125	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
accuracy	0.0625	(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
accuracy	0.28125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	10.480443366778598	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
accuracy	0.0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.929629609253134	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.03125	(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))
accuracy	0.0546875	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	0.15234375	(.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)
accuracy	4.127622676238247	#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))

Samples

62.0ms	50×	2	valid
45.0ms	74×	1	valid
38.0ms	132×	0	valid

Compiler

Compiled 754 to 81 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 47.0ms (40.5% of total)

ival-exp: 22.0ms (19% of total)

ival-add: 15.0ms (12.9% of total)

const: 13.0ms (11.2% of total)

adjust: 12.0ms (10.3% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-29.9MiB live, 8.5MiB allocated

Counts

19 → 48

Calls

Call 1

Inputs
#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))
(.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)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(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))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* 1/2 (- (exp x) (exp (* -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

22.0ms

-inf

((- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (- (exp x) (exp (neg x))) (* 2 x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 1/3 x) (+ (* (* 1/3 x) x) 2) (* (+ (* (* 1/3 x) x) 2) x) (- (exp x) (exp (neg x))) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

2.0ms

inf

((- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (- (exp x) (exp (neg x))) (* 2 x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 1/3 x) (+ (* (* 1/3 x) x) 2) (* (+ (* (* 1/3 x) x) 2) x) (- (exp x) (exp (neg x))) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

2.0ms

((- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (- (exp x) (exp (neg x))) (* 2 x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 1/3 x) (+ (* (* 1/3 x) x) 2) (* (+ (* (* 1/3 x) x) 2) x) (- (exp x) (exp (neg x))) (* (+ (* 1/60 (* x x)) 1/3) x) (+ (* 1/60 (* x x)) 1/3) (+ (* (* (+ (* 1/60 (* x x)) 1/3) x) x) 2) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* 1/2520 (* x x)) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify130.0ms (1.9%)

Memory

23.0MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	454
1	417	448
2	1374	448
3	6089	440
0	8363	409

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* 1/2 (- (exp x) (exp (* -1 x))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow 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)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow 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)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(- (exp x) (exp (neg x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (sinh.f64 x)))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* 1/60 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(- (exp x) (exp (* -1 x)))
(+.f64 (sinh.f64 x) (sinh.f64 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (sinh.f64 x)))

rewrite231.0ms (3.4%)

Memory

-2.8MiB live, 248.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	227
0	64	215
1	230	215
2	1766	215
0	9421	215

Stop Event

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

Counts

19 → 376

Calls

Call 1

Inputs
#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))
(.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)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(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))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
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(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x)))) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(fma.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))
(fma.f64 x (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)))

eval82.0ms (1.2%)

Memory: 6.3MiB live, 81.8MiB allocated
Compiler: Compiled 18 869 to 2 675 computations (85.8% saved)

prune19.0ms (0.3%)

Memory

0.5MiB live, 36.7MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	409	8	417
Fresh	3	3	6
Picked	3	2	5
Done	0	1	1
Total	415	14	429

Accuracy

100.0%

Counts

429 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) x)) x)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) (.f64 x x)) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	93.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	93.5%	(/.f64 #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(literal 2 binary64))
▶	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	83.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	91.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	37.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
▶	51.7%	(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))

Compiler

Compiled 636 to 424 computations (33.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize206.0ms (3%)

Memory

11.7MiB live, 249.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.11328125	(.f64 (.f64 #s(literal 1/2520 binary64) x) x)
accuracy	4.127622676238247	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	30.80563403529322	#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x))
accuracy	0.078125	(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
accuracy	0.0859375	(*.f64 #s(literal 1/60 binary64) x)
accuracy	0.15234375	(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
accuracy	5.3804269516638215	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
accuracy	0.03125	(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
accuracy	0.18359375	(.f64 #s(literal 1/60 binary64) (.f64 x x))
accuracy	5.3804269516638215	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	30.792906063888672	#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
accuracy	30.929629609253134	#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
accuracy	0.0703125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
accuracy	0.09765625	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)
accuracy	0.28125	(*.f64 #s(literal 1/3 binary64) x)
accuracy	4.127622676238247	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x))

Samples

73.0ms	74×	1	valid
52.0ms	50×	2	valid
41.0ms	132×	0	valid

Compiler

Compiled 884 to 99 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 41.0ms (36.4% of total)

ival-exp: 22.0ms (19.5% of total)

ival-add: 16.0ms (14.2% of total)

adjust: 13.0ms (11.5% of total)

const: 12.0ms (10.7% of total)

ival-div: 3.0ms (2.7% of total)

ival-sub: 3.0ms (2.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-25.4MiB live, 11.6MiB allocated

Counts

19 → 39

Calls

Call 1

Inputs
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 x x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 1/2520 binary64) x) x)
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 x)
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* x (+ 1/3 (* 1/60 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(- (exp x) (exp (* -1 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((- (exp x) (exp (neg x))) (* 1/3 x) (* (* (+ (* (* x x) 1/2520) 1/60) x) x) (* (+ (* (* x x) 1/2520) 1/60) x) (- (exp x) (exp (neg x))) (* (- (exp x) (exp (neg x))) 1/2) (+ x x) (+ (* 1/60 (* x x)) 1/3) (- (exp x) (exp (neg x))) (* 1/60 (* x x)) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/60 x) x) 1/3) x) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* (* 1/2520 x) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

3.0ms

-inf

((- (exp x) (exp (neg x))) (* 1/3 x) (* (* (+ (* (* x x) 1/2520) 1/60) x) x) (* (+ (* (* x x) 1/2520) 1/60) x) (- (exp x) (exp (neg x))) (* (- (exp x) (exp (neg x))) 1/2) (+ x x) (+ (* 1/60 (* x x)) 1/3) (- (exp x) (exp (neg x))) (* 1/60 (* x x)) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/60 x) x) 1/3) x) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* (* 1/2520 x) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

2.0ms

((- (exp x) (exp (neg x))) (* 1/3 x) (* (* (+ (* (* x x) 1/2520) 1/60) x) x) (* (+ (* (* x x) 1/2520) 1/60) x) (- (exp x) (exp (neg x))) (* (- (exp x) (exp (neg x))) 1/2) (+ x x) (+ (* 1/60 (* x x)) 1/3) (- (exp x) (exp (neg x))) (* 1/60 (* x x)) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/60 x) x) 1/3) x) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (- (exp x) (exp (neg x))) (* (* 1/2520 x) x) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify133.0ms (1.9%)

Memory

5.9MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	325
1	325	319
2	1027	319
3	4414	315
0	8158	289

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 38

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 x)
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* x (+ 1/3 (* 1/60 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(- (exp x) (exp (* -1 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))

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

rewrite269.0ms (3.9%)

Memory

18.0MiB live, 302.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	241
0	77	222
1	287	222
2	2001	222
0	8982	221

Stop Event

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

Counts

19 → 261

Calls

Call 1

Inputs
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(+.f64 x x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x)))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x))
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 1/2520 binary64) x) x)
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64))

Outputs
#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(sqrt.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x x) #s(literal 1/151200 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal -1/60 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 x x) #s(literal 1/151200 binary64)))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) (-.f64 (pow.f64 (.f64 #s(literal 1/60 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) (.f64 #s(literal 1/60 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (-.f64 (pow.f64 (.f64 #s(literal 1/60 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 #s(literal 1/60 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216000 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/60 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x)) (.f64 (.f64 #s(literal 1/60 binary64) x) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216000 binary64) (pow.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/60 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x)))) (.f64 (.f64 #s(literal 1/60 binary64) x) (.f64 x (.f64 #s(literal 1/2520 binary64) (.f64 x x)))))))
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(fma.f64 x (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) #s(literal 1/3 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x) #s(literal -1/3 binary64))))
(+.f64 (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (*.f64 x x)))

eval60.0ms (0.9%)

Memory: 0.4MiB live, 75.0MiB allocated
Compiler: Compiled 13 783 to 1 922 computations (86.1% saved)

prune20.0ms (0.3%)

Memory

-7.0MiB live, 37.1MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	288	4	292
Fresh	1	5	6
Picked	2	3	5
Done	1	2	3
Total	292	14	306

Accuracy

100.0%

Counts

306 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) x)) x)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/60 binary64) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (* (+ (* (* x x) 1/2520) 1/60) x) (.f64 #s(literal 1/60 binary64) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	93.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	93.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	91.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓	83.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.2%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	37.8%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
✓	51.7%	(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))

Compiler

Compiled 1 049 to 425 computations (59.5% saved)

regimes23.0ms (0.3%)

Memory

8.7MiB live, 45.1MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) (.f64 x x)) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (* (+ (* (* x x) 1/2520) 1/60) x) (.f64 #s(literal 1/60 binary64) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) x)) x)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/60 binary64) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #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 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
8.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes21.0ms (0.3%)

Memory

4.1MiB live, 42.4MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) (.f64 x x)) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (* (+ (* (* x x) 1/2520) 1/60) x) (.f64 #s(literal 1/60 binary64) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) x)) x)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 1/60 binary64) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.5%	1	`x`
93.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes82.0ms (1.2%)

Memory

-11.0MiB live, 26.8MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) (.f64 x x)) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (* (+ (* (* x x) 1/2520) 1/60) x) (.f64 #s(literal 1/60 binary64) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 #s(literal 1/2520 binary64) x) x)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

72.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
93.2%	1	`x`
93.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
93.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes85.0ms (1.2%)

Memory

-25.0MiB live, 20.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #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(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) (.f64 x x)) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (* (+ (* (* x x) 1/2520) 1/60) x) (.f64 #s(literal 1/60 binary64) x)) x) x (.f64 #s(literal 1/3 binary64) x)) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.6%	1	`x`
91.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 (.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (.f64 (.f64 x x) #s(literal 1/60 binary64))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))

Outputs

(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))

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
91.2%	1	`x`
91.2%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.2%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
83.6%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.4%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.4%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
83.4%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes37.0ms (0.5%)

Memory

-23.4MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

34.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
51.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch15.0ms (0.2%)

Memory

2.1MiB live, 39.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.2870595676735376	33.487914867195

Samples

7.0ms

112×

valid

Compiler

Compiled 263 to 214 computations (18.6% saved)

Precisions

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

ival-exp: 2.0ms (46.6% of total)

ival-sub: 1.0ms (23.3% of total)

ival-div: 1.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

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

simplify39.0ms (0.6%)

Memory

-20.5MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	187
1	79	187

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))

Outputs
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* x x)) 1/60) (.f64 (.f64 x x) #s(literal 1/2520 binary64))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( 1/60 (* x x)) 1/3) (.f64 #s(literal 1/60 binary64) (.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 5/2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (+.f64 x x))) (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 2 binary64)))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)))

soundness1.4s (20.5%)

Memory

12.7MiB live, 527.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	241
0	77	222
1	287	222
2	2001	222
0	8982	221
0	104	430
1	395	424
2	1306	424
3	5943	414
0	8296	387
0	38	227
0	64	215
1	230	215
2	1766	215
0	9421	215
0	55	122
1	207	121
2	677	121
3	2682	119
4	6377	119
0	9068	103
0	5	13
0	9	11
1	39	11
2	301	11
0	3874	11
0	28	177
0	49	163
1	205	163
2	1543	163
0	8161	163

Stop Event

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

Compiler

Compiled 495 to 263 computations (46.9% saved)

preprocess92.0ms (1.3%)

Memory: 13.6MiB live, 89.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 438 to 190 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (30.2%)

explain146.0ms (2.1%)

preprocess171.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize100.0ms (1.5%)

series2.0ms (0%)

simplify203.0ms (3%)

rewrite133.0ms (1.9%)

eval36.0ms (0.5%)

prune8.0ms (0.1%)

simplify0.0ms (0%)

localize151.0ms (2.2%)

series11.0ms (0.2%)

simplify140.0ms (2%)

rewrite282.0ms (4.1%)

eval181.0ms (2.6%)

prune26.0ms (0.4%)

simplify0.0ms (0%)

localize181.0ms (2.6%)

series27.0ms (0.4%)

simplify130.0ms (1.9%)

rewrite231.0ms (3.4%)

eval82.0ms (1.2%)

prune19.0ms (0.3%)

simplify0.0ms (0%)

localize206.0ms (3%)

series10.0ms (0.2%)

simplify133.0ms (1.9%)

rewrite269.0ms (3.9%)

eval60.0ms (0.9%)

prune20.0ms (0.3%)

regimes23.0ms (0.3%)

regimes21.0ms (0.3%)

regimes82.0ms (1.2%)

regimes85.0ms (1.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes37.0ms (0.5%)

bsearch15.0ms (0.2%)

simplify39.0ms (0.6%)

soundness1.4s (20.5%)

preprocess92.0ms (1.3%)

end0.0ms (0%)

Profiling