Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample4.3s (42.7%)

Memory

52.3MiB live, 3 130.6MiB allocated

Samples

3.3s	5 693×	2	valid
675.0ms	2 349×	1	valid
15.0ms	214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-exp: 2.5s (72.3% of total)

adjust: 398.0ms (11.4% of total)

ival-sub: 261.0ms (7.5% of total)

ival-fabs: 124.0ms (3.6% of total)

ival-add: 116.0ms (3.3% of total)

ival-neg: 32.0ms (0.9% of total)

ival-<=: 22.0ms (0.6% of total)

exact: 9.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain221.0ms (2.2%)

Memory

15.4MiB live, 247.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
124	0	-	1	(-0.16351592074702032)	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 x)`
0	1	(504.6729953373248)	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	123	1
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	123	1
-	1	131

Precision

0.9919354838709677

Recall

0.9919354838709677

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	1	0
-	1	0	131

Precision?

0.992

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

146.0ms	372×	2	valid
18.0ms	132×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-exp: 105.0ms (76% of total)

adjust: 16.0ms (11.6% of total)

ival-add: 7.0ms (5.1% of total)

ival-sub: 7.0ms (5.1% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess29.0ms (0.3%)

Memory

-9.6MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs 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

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify11.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (0.9%)

Memory

12.1MiB live, 89.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.0234375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	27.917336921280494	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

74.0ms	186×	2	valid
9.0ms	65×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-exp: 53.0ms (74% of total)

adjust: 8.0ms (11.2% of total)

ival-sub: 6.0ms (8.4% of total)

ival-add: 3.0ms (4.2% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 21

Calls

Call 1

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

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
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)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

0.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify180.0ms (1.8%)

Memory

-19.6MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
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)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* 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
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 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))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite153.0ms (1.5%)

Memory

-2.1MiB live, 153.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6874	15
0	8346	14

Stop Event

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

Counts

4 → 237

Calls

Call 1

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

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

eval30.0ms (0.3%)

Memory: 8.1MiB live, 45.2MiB allocated
Compiler: Compiled 6 353 to 791 computations (87.5% saved)

prune7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	249	7	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	249	8	257

Accuracy

100.0%

Counts

257 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	56.0%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
▶	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	56.4%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 200 to 147 computations (26.5% saved)

simplify98.0ms (1%)

Memory

3.7MiB live, 84.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	41	157
1	74	157
2	146	157
3	244	148
4	360	148
5	498	148
6	871	148
7	2033	148
8	5679	148
0	8186	148

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)

localize267.0ms (2.6%)

Memory

-10.4MiB live, 257.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(cosh.f64 x)
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
accuracy	0.45327870757537403	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.4746811162621519	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.0	(cosh.f64 x)
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.7234901439454202	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.00390625	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.0078125	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.28310214674353723	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Samples

138.0ms	154×	2	valid
45.0ms	32×	3	valid
41.0ms	65×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 141 to 30 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-exp: 61.0ms (31.9% of total)

ival-cosh: 41.0ms (21.4% of total)

adjust: 36.0ms (18.8% of total)

ival-mult: 13.0ms (6.8% of total)

const: 12.0ms (6.3% of total)

ival-add: 12.0ms (6.3% of total)

ival-pow: 6.0ms (3.1% of total)

ival-div: 5.0ms (2.6% of total)

ival-sub: 4.0ms (2.1% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

13 → 29

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))
2.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))

Time

Variable

Point

Expression

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))

3.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (* 2 (cosh x)) -2) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)))

simplify183.0ms (1.8%)

Memory

-2.4MiB live, 185.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	290
1	254	290
2	635	282
3	1666	282
4	2609	282
5	5216	282
6	7237	282
0	8036	256

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/360 binary64) x (/.f64 #s(literal 1/12 binary64) x))))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite161.0ms (1.6%)

Memory

29.2MiB live, 186.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	120
0	41	116
1	176	107
2	1309	107
0	8162	107

Stop Event

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

Counts

13 → 706

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))))))
(.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
(.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))) #s(literal -1 binary64)))
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(pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64))))) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))
(/.f64 (neg.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (/.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))

eval109.0ms (1.1%)

Memory: -14.4MiB live, 136.4MiB allocated
Compiler: Compiled 28 287 to 2 417 computations (91.5% saved)

prune123.0ms (1.2%)

Memory

19.5MiB live, 56.1MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	802	7	809
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	807	10	817

Accuracy

100.0%

Counts

817 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	55.8%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	55.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	55.5%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	56.0%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
✓	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 319 to 213 computations (33.2% saved)

simplify373.0ms (3.7%)

Memory

7.5MiB live, 169.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
cost-diff	4	(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	319
0	70	319
1	135	307
2	228	301
3	439	301
4	761	301
5	981	301
6	1436	301
7	1923	301
8	2345	301
9	2708	301
10	3040	301
11	3715	301
12	5918	301
13	6945	301
14	7005	301
15	7022	301
16	7033	301
17	7034	301
18	7464	301
19	7852	301
20	7938	301
21	7947	301
22	7947	301
0	8293	299

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(*.f64 x x)
x
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
#s(literal 1/12 binary64)
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(literal -2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)

localize363.0ms (3.6%)

Memory

-9.9MiB live, 466.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.30553325029868017	#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.40436880354377347	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.11328125	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.4746811162621519	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.49873398563997906	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy	0.0546875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.28310214674353723	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))

Samples

264.0ms	186×	2	valid
63.0ms	66×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 234 to 45 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-mult: 76.0ms (26.7% of total)

ival-exp: 62.0ms (21.8% of total)

ival-cosh: 48.0ms (16.9% of total)

adjust: 40.0ms (14.1% of total)

ival-add: 25.0ms (8.8% of total)

const: 24.0ms (8.4% of total)

ival-sub: 4.0ms (1.4% of total)

ival-pow: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series10.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

21 → 47

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (+ (* (* x x) 1/20160) 1/360) (+ (* 1/720 (* x x)) 1/24))

3.0ms

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (+ (* (* x x) 1/20160) 1/360) (+ (* 1/720 (* x x)) 1/24))

3.0ms

-inf

((+ (* (* x x) (* (* x x) 1/12)) (+ (* x x) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)))) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* 1/2 (* x x)) 1) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* (+ (* (* x x) 1/20160) 1/360) (pow x 6)) (+ (* (* x x) 1/20160) 1/360) (+ (* 1/720 (* x x)) 1/24))

simplify171.0ms (1.7%)

Memory

-30.2MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	417
1	337	417
2	823	407
3	2112	407
4	3530	407
5	6060	407
6	6535	407
7	7989	407
0	8030	366

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x)))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x x)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))

rewrite299.0ms (3%)

Memory

7.4MiB live, 279.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	266
0	70	258
1	325	244
2	2432	244
0	10136	240

Stop Event

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

Counts

21 → 486

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))

Outputs
(.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))) (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))) (.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (-.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64))))
(+.f64 (.f64 #s(literal 1/20160 binary64) (.f64 x x)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))
(.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))

eval127.0ms (1.3%)

Memory: -15.0MiB live, 177.3MiB allocated
Compiler: Compiled 23 490 to 2 378 computations (89.9% saved)

prune16.0ms (0.2%)

Memory

10.5MiB live, 48.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	576	3	579
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	577	12	589

Accuracy

100.0%

Counts

589 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	55.8%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	55.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	54.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	55.5%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	56.0%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
✓	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 351 to 241 computations (31.3% saved)

simplify158.0ms (1.6%)

Memory

-14.9MiB live, 184.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
cost-diff	0	#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
cost-diff	0	#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
cost-diff	2	(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
cost-diff	2	(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	453
0	95	453
1	164	453
2	281	453
3	591	447
4	1206	447
5	2066	447
6	4060	447
7	7282	447
0	8094	433

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/6048 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal -1/6048 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/6048 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal -1/6048 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal -1/12 binary64)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal -4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

localize485.0ms (4.8%)

Memory

36.5MiB live, 499.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.015625	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy	0.24691071238406542	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	27.964685272520867	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
accuracy	0.00390625	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
accuracy	0.13671875	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
accuracy	0.30200919861551223	#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
accuracy	0.45327870757537403	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
accuracy	0.30553325029868017	#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.33203125	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	27.95747283255732	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	61.277265734473595	#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
accuracy	0.32421875	(*.f64 #s(literal 1/12 binary64) x)
accuracy	0.4746811162621519	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
accuracy	0.0078125	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.0546875	(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
accuracy	0.28310214674353723	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
accuracy	0.32421875	(*.f64 #s(literal 1/12 binary64) x)

Samples

275.0ms	154×	2	valid
70.0ms	65×	1	valid
65.0ms	32×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 332 to 60 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-mult: 72.0ms (20.7% of total)

adjust: 66.0ms (19% of total)

ival-exp: 65.0ms (18.7% of total)

const: 43.0ms (12.3% of total)

ival-cosh: 40.0ms (11.5% of total)

ival-add: 31.0ms (8.9% of total)

ival-div: 14.0ms (4% of total)

ival-pow2: 7.0ms (2% of total)

ival-sub: 4.0ms (1.1% of total)

ival-pow: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series34.0ms (0.3%)

Memory

-37.7MiB live, 22.0MiB allocated

Counts

23 → 77

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/12 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) x)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(* -1/6048 (pow x 4))
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* (pow x 4) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* -1/6048 (pow x 5))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* (pow x 5) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- 1/6048 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

-inf

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (/ (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) x) (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) (/ (+ (* (pow (cosh x) 2) 4) -4) (+ (* (cosh x) 2) 2)) (+ (* (pow (cosh x) 2) 4) -4) (pow (cosh x) 2) (cosh x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/20160 (* x x)) 1/360) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* (cosh x) 2) 2))

5.0ms

inf

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (/ (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) x) (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) (/ (+ (* (pow (cosh x) 2) 4) -4) (+ (* (cosh x) 2) 2)) (+ (* (pow (cosh x) 2) 4) -4) (pow (cosh x) 2) (cosh x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/20160 (* x x)) 1/360) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* (cosh x) 2) 2))

3.0ms

((+ (* (+ (* (* 1/12 x) x) 1) (* x x)) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* 2 (cosh x)) -2) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (/ 1 (+ (* 2 (cosh x)) -2)) (/ (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) x) (/ (+ (* (+ (* (+ (* -1/6048 (* x x)) 1/240) (* x x)) -1/12) (* x x)) 1) x) (/ (+ (* (pow (cosh x) 2) 4) -4) (+ (* (cosh x) 2) 2)) (+ (* (pow (cosh x) 2) 4) -4) (pow (cosh x) 2) (cosh x) (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* 1/20160 (* x x)) 1/360) (* x x) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* (cosh x) 2) 2))

simplify172.0ms (1.7%)

Memory

44.5MiB live, 266.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	847
1	560	847
2	1508	827
3	4178	827
0	8434	768

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/12 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) x)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(* -1/6048 (pow x 4))
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* (pow x 4) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* -1/6048 (pow x 5))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(* (pow x 5) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- 1/6048 (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (* 1/240 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/315 binary64) (.f64 x x) #s(literal 8/45 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/20160 binary64) x (/.f64 #s(literal 1/360 binary64) x)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
4
#s(literal 4 binary64)
(+ 4 (pow x 2))
(fma.f64 x x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 4 binary64))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/360 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/12 (pow x 2))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* -1/6048 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6048 binary64))
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(.f64 (.f64 (fma.f64 #s(literal -1/6048 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)
(* (pow x 4) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(fma.f64 (-.f64 #s(literal -1/6048 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/240 binary64) (.f64 x x)))
(* (pow x 4) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/240 binary64) x) x (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6048 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/6048 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6048 binary64))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) 1/6048))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 1/6048 binary64)))
(* (pow x 5) (- (* 1/240 (/ 1 (pow x 2))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6048 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x)))))
(* (pow x 5) (- (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/6048 (/ 1/12 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/6048 binary64))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x)
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* -1 (* (pow x 5) (- 1/6048 (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) #s(literal 1/6048 binary64)))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (* 1/240 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6048 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 1/6048 (/ 1/12 (pow x 4))) (+ (* 1/240 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/6048 binary64))))

rewrite250.0ms (2.5%)

Memory

-16.5MiB live, 298.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	359
0	95	359
1	400	348
2	2898	348
0	8616	339

Stop Event

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

Counts

23 → 671

Calls

Call 1

Inputs
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
#s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
(.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x)))) (fma.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x (.f64 (neg.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) #s(literal -1 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) #s(literal 2 binary64))))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
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(*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (.f64 (cosh.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (*.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval131.0ms (1.3%)

Memory: -7.6MiB live, 192.9MiB allocated
Compiler: Compiled 30 975 to 3 047 computations (90.2% saved)

prune23.0ms (0.2%)

Memory

8.7MiB live, 56.5MiB allocated

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	818	4	822
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	819	15	834

Accuracy

100.0%

Counts

834 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	55.8%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	55.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	54.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	55.5%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	56.0%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
	98.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))
✓	56.4%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	55.9%	(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64)))))
✓	99.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
✓	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
	55.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 735 to 335 computations (54.4% saved)

regimes12.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64)))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))

Calls

2 calls:

6.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes25.0ms (0.2%)

Memory

-25.6MiB live, 12.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 2 (cosh x)) -2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 #s(approx (+ ( (* 1/12 x) x) 1) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -28.1b remaining (-3884.5%)

Threshold costs -28.1b (-3884.5%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify123.0ms (1.2%)

Memory

-8.4MiB live, 68.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	131
1	48	131
2	64	131
3	96	131
4	165	131
5	334	131
6	757	131
7	1952	131
8	4154	131
9	7275	131

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (*.f64 x #s(literal 1/12 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness1.2s (12.4%)

Memory

15.5MiB live, 631.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	359
0	95	359
1	400	348
2	2898	348
0	8616	339
0	60	160
1	168	159
2	397	153
3	1060	153
4	1762	153
5	3034	153
6	3863	153
7	5255	153
8	6661	153
0	8428	132
0	27	120
0	41	116
1	176	107
2	1309	107
0	8162	107
0	40	266
0	70	258
1	325	244
2	2432	244
0	10136	240

Stop Event

1×	fuel
1×	iter limit
1×	node 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

Compiler

Compiled 355 to 193 computations (45.6% saved)

preprocess66.0ms (0.7%)

Memory: -12.7MiB live, 115.2MiB allocated
Remove: (abs x)
Compiler: Compiled 362 to 140 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21

start0.0ms (0%)

analyze0.0ms (0%)

sample4.3s (42.7%)

explain221.0ms (2.2%)

preprocess29.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify11.0ms (0.1%)

localize92.0ms (0.9%)

series1.0ms (0%)

simplify180.0ms (1.8%)

rewrite153.0ms (1.5%)

eval30.0ms (0.3%)

prune7.0ms (0.1%)

simplify98.0ms (1%)

localize267.0ms (2.6%)

series10.0ms (0.1%)

simplify183.0ms (1.8%)

rewrite161.0ms (1.6%)

eval109.0ms (1.1%)

prune123.0ms (1.2%)

simplify373.0ms (3.7%)

localize363.0ms (3.6%)

series10.0ms (0.1%)

simplify171.0ms (1.7%)

rewrite299.0ms (3%)

eval127.0ms (1.3%)

prune16.0ms (0.2%)

simplify158.0ms (1.6%)

localize485.0ms (4.8%)

series34.0ms (0.3%)

simplify172.0ms (1.7%)

rewrite250.0ms (2.5%)

eval131.0ms (1.3%)

prune23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify123.0ms (1.2%)

soundness1.2s (12.4%)

preprocess66.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	187	16
4	319	16
5	405	16
6	435	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	274	8
7	342	8
8	400	8
9	402	8
0	402	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	274	21
7	342	21
8	400	21
9	402	21
0	402	21