Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample4.1s (45.4%)

Memory

64.5MiB live, 3 182.9MiB allocated

Samples

3.1s	5 726×	2	valid
459.0ms	2 316×	1	valid
14.0ms	214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 2.2s (71.7% of total)

adjust: 271.0ms (8.8% of total)

ival-sub: 245.0ms (8% of total)

ival-add: 151.0ms (4.9% of total)

ival-fabs: 94.0ms (3.1% of total)

ival-<=: 63.0ms (2.1% of total)

ival-neg: 33.0ms (1.1% of total)

exact: 10.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain369.0ms (4.1%)

Memory

-14.5MiB live, 181.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	2	(-2.1962778800808535e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	131	0

Confusion

	Predicted +	Predicted -
+	129	0
-	2	125

Precision

0.9847328244274809

Recall

1.0

Confusion?

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

Precision?

0.9772727272727273

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

151.0ms	368×	2	valid
19.0ms	134×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 75 to 32 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-exp: 113.0ms (77.5% of total)

adjust: 15.0ms (10.3% of total)

ival-sub: 8.0ms (5.5% of total)

ival-add: 6.0ms (4.1% of total)

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

ival-true: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

preprocess25.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify12.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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)

localize161.0ms (1.8%)

Memory

-8.7MiB live, 69.1MiB 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	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	28.349970702977895	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

130.0ms	184×	2	valid
21.0ms	67×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

ival-exp: 63.0ms (79.2% of total)

adjust: 8.0ms (10.1% of total)

ival-sub: 4.0ms (5% of total)

ival-add: 3.0ms (3.8% of total)

ival-neg: 1.0ms (1.3% 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

1.4MiB live, 1.4MiB 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)))

simplify174.0ms (1.9%)

Memory

17.2MiB live, 168.6MiB 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))

rewrite164.0ms (1.8%)

Memory

3.9MiB live, 201.0MiB 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))

eval31.0ms (0.3%)

Memory: 8.2MiB live, 45.3MiB allocated
Compiler: Compiled 6 353 to 791 computations (87.5% saved)

prune16.0ms (0.2%)

Memory

-23.2MiB live, 20.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	252	4	256
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	252	5	257

Accuracy

100.0%

Counts

257 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	55.7%	(+.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 (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))))
▶	99.2%	#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)))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 69 to 53 computations (23.2% saved)

simplify101.0ms (1.1%)

Memory

12.8MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	134
0	36	134
1	67	134
2	127	134
3	207	125
4	286	125
5	393	125
6	684	125
7	1353	125
8	3855	125
9	7540	125
0	8178	125

Stop Event

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

Calls

Call 1

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

localize241.0ms (2.7%)

Memory

0.0MiB live, 268.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(cosh.f64 x)
accuracy	28.416746110226033	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.01171875	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.41727756161549634	#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))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.5318471436509775	#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	(*.f64 x x)
accuracy	0.8700260225781677	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Samples

184.0ms	185×	2	valid
31.0ms	66×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-exp: 55.0ms (31.2% of total)

ival-cosh: 40.0ms (22.7% of total)

adjust: 23.0ms (13% of total)

ival-add: 20.0ms (11.3% of total)

const: 13.0ms (7.4% of total)

ival-mult: 13.0ms (7.4% of total)

ival-pow: 6.0ms (3.4% of total)

ival-sub: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

10 → 20

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify165.0ms (1.8%)

Memory

-39.3MiB live, 141.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	168
1	176	168
2	437	160
3	1158	160
4	1828	160
5	3639	160
6	6146	160
0	8152	145

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

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

rewrite245.0ms (2.7%)

Memory

-1.2MiB live, 152.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	86
0	36	86
1	156	77
2	1203	77
0	8275	77

Stop Event

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

Counts

10 → 243

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#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)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) 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 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(+.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))
(+.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 #s(literal 1/20160 binary64) (.f64 x x)))))
(.f64 (neg.f64 (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 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (/.f64 #s(literal 1 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)) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal -1/360 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)) (/.f64 #s(literal 1 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)) (pow.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)))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 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 #s(literal 1 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 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -2 binary64))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(fma.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) #s(literal -2 binary64))
(fma.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.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 (pow.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)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.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 #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 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 (pow.f64 (*.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))) (neg.f64 (/.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 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(.f64 (neg.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 x)

eval44.0ms (0.5%)

Memory: 14.1MiB live, 51.5MiB allocated
Compiler: Compiled 9 142 to 1 005 computations (89% saved)

prune7.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	315	5	320
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	318	7	325

Accuracy

100.0%

Counts

325 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	54.9%	(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))
▶	54.7%	(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))
▶	99.3%	#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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))
▶	99.2%	#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)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 223 to 148 computations (33.6% saved)

simplify213.0ms (2.4%)

Memory

-5.9MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
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	-5504	(.f64 (.f64 x x) (*.f64 x x))
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	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 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	#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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	289
0	62	301
1	119	281
2	219	261
3	413	261
4	754	261
5	1046	261
6	1378	261
7	2113	261
8	3078	261
9	3968	261
10	4755	261
11	6133	261
12	7164	261
13	7536	261
14	7711	261
15	7746	261
16	7997	261
0	8173	261

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 (.f64 (.f64 x x) (.f64 x x)) #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 (.f64 (.f64 x x) (.f64 x x)) #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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.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(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 (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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 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 (.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 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) 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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) 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))
(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 (.f64 (.f64 x x) (.f64 x x)) #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))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#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))
(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 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 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 1/12 binary64) (pow.f64 x #s(literal 4 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 (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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#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 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize349.0ms (3.9%)

Memory

-8.4MiB live, 418.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.078125	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.5318471436509775	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.0078125	(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))
accuracy	0.015625	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.42723426869217573	#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	28.416746110226033	(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	0.01171875	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.08984375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.5318471436509775	#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	0.5489368464543385	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.416746110226033	(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	0.01171875	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.01171875	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.08984375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.41727756161549634	#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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))

Samples

271.0ms	185×	2	valid
43.0ms	66×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 503 to 81 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-exp: 79.0ms (30.1% of total)

adjust: 52.0ms (19.8% of total)

ival-add: 39.0ms (14.9% of total)

ival-cosh: 31.0ms (11.8% of total)

ival-mult: 27.0ms (10.3% of total)

const: 23.0ms (8.8% of total)

ival-pow: 6.0ms (2.3% of total)

ival-sub: 4.0ms (1.5% 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)

series8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

19 → 36

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

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

3.0ms

-inf

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

2.0ms

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

simplify141.0ms (1.6%)

Memory

23.3MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	302
1	253	302
2	626	294
3	1615	294
4	2790	294
5	5668	294
6	6556	294
7	7984	294
0	8018	264

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

rewrite190.0ms (2.1%)

Memory

-22.0MiB live, 166.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	217
0	62	201
1	282	195
2	2153	195
0	8076	192

Stop Event

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

Counts

19 → 338

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 (.f64 (.f64 x x) (.f64 x x)) #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))
(*.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 (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(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))
(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))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 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 (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)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) #s(literal -1 binary64))
(pow.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))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (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 (-.f64 (.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 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 (+.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 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #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 (*.f64 x x) #s(literal 1/20160 binary64) #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 (*.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))
(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 (.f64 x x) #s(literal 1/20160 binary64)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64)) (pow.f64 (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 -1 binary64)))
(.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (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)) (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #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 (pow.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 4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (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)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.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 4 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))) (.f64 (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 4 binary64))) (.f64 (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)) (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))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.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 4 binary64))) (-.f64 #s(literal -2 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64))) (neg.f64 (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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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 4 binary64)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64))))))
(/.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 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)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)) (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))) (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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 4 binary64)) (.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -4 binary64)))))
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(.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)))
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(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)))

eval73.0ms (0.8%)

Memory: 7.7MiB live, 82.9MiB allocated
Compiler: Compiled 14 168 to 1 518 computations (89.3% saved)

prune9.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	416	3	419
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	417	9	426

Accuracy

100.0%

Counts

426 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	54.9%	(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))
▶	54.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
▶	53.7%	(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))
✓	54.7%	(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))
✓	99.3%	#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 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))
✓	99.2%	#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)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 181 to 119 computations (34.3% saved)

simplify328.0ms (3.7%)

Memory

-32.0MiB live, 93.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	294
0	56	294
1	98	292
2	167	286
3	317	282
4	527	282
5	811	282
6	1202	282
7	1614	282
8	1913	282
9	2085	282
10	2172	282
11	2510	282
12	4321	282
13	5709	282
14	6263	282
15	6389	282
16	6396	282
17	6402	282
18	6452	282
19	6537	282
20	6537	282
21	6537	282
22	7111	282
23	7367	282
24	7367	282
25	7367	282
26	7377	282
0	7377	282

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize333.0ms (3.7%)

Memory

12.6MiB live, 446.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	0.015625	(.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)) x)
accuracy	0.42723426869217573	#s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
accuracy	28.416746110226033	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.33984375	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
accuracy	0.42723426869217573	#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	28.416746110226033	(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	61.21362780880152	#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	0.078125	(.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.15234375	(.f64 #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.5318471436509775	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))

Samples

252.0ms	184×	2	valid
33.0ms	66×	1	valid
18.0ms	5×	0	valid
3.0ms	1×	3	valid

Compiler

Compiled 492 to 73 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

const: 63.0ms (23.5% of total)

ival-exp: 63.0ms (23.5% of total)

ival-add: 38.0ms (14.2% of total)

ival-cosh: 36.0ms (13.4% of total)

ival-mult: 35.0ms (13.1% of total)

adjust: 27.0ms (10.1% of total)

ival-sub: 4.0ms (1.5% 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)

series8.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

15 → 40

Calls

Call 1

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

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)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/12 (pow x 4))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(- (+ (exp x) (exp (neg x))) 2)
(* (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))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 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)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (* 1/12 (* x 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) (+ (* 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 x) (* 1/12 (* x x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (* 1/12 (* x 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) (+ (* 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 x) (* 1/12 (* x x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24))

2.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (* x x) (* 1/12 (* x x)))) (* x x) (* 1/12 (* x 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) (+ (* 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 x) (* 1/12 (* x x))) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/720 (* x x)) 1/24))

simplify143.0ms (1.6%)

Memory

-15.9MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	378
1	310	378
2	774	365
3	2019	364
4	4688	364
5	7443	364
0	8305	331

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

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)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/12 (pow x 4))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(- (+ (exp x) (exp (neg x))) 2)
(* (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))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 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)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))

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)
(* 1/12 (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 (*.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))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.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)) x)
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 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)
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 6) (+ 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 6 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))) (/ 1 (pow x 6))))))
(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 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 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 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 5) (+ 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 5 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 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)
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)))

rewrite191.0ms (2.1%)

Memory

5.8MiB live, 165.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
0	56	246
1	211	232
2	1507	232
0	8197	231

Stop Event

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

Counts

15 → 315

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
(.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) x) (/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (.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 -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
(.f64 x (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))))) (neg.f64 (neg.f64 (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (.f64 (-.f64 (.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 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (-.f64 (.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 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/12 binary64) (*.f64 x x))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 x x) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) x)) x (.f64 x x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x (.f64 x x))
(fma.f64 (.f64 #s(literal 1/12 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(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) (.f64 x x)) (.f64 x x) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(-.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)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) x) x)
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) x))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.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 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (.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)))))
(.f64 (neg.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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)))))
(.f64 (neg.f64 (fma.f64 (pow.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 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.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 -4 binary64)))))))
(.f64 (fma.f64 (pow.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 4 binary64) #s(literal -4 binary64)) (pow.f64 (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 -1 binary64)))
(.f64 (fma.f64 (pow.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 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.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 4 binary64)) (.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 -4 binary64))))))
(.f64 (fma.f64 (pow.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 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.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 4 binary64) (-.f64 #s(literal 4 binary64) (.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 -4 binary64)))) #s(literal -1 binary64)))
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(.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)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.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 (.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))) (fma.f64 (/.f64 #s(literal 1/576 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 (.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 (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 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 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (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))
(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 (.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))) (neg.f64 (/.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)))

eval75.0ms (0.8%)

Memory: 31.0MiB live, 101.6MiB allocated
Compiler: Compiled 19 784 to 1 950 computations (90.1% saved)

prune17.0ms (0.2%)

Memory

-15.5MiB live, 31.5MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	414	5	419
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	416	12	428

Accuracy

100.0%

Counts

428 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	54.9%	(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))
✓	54.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
	53.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
	53.6%	(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 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 binary64))) x) x)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	54.7%	(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))
	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))))
✓	99.2%	#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)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 x x)))))
	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.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))
	99.2%	#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)))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 663 to 277 computations (58.2% saved)

regimes12.0ms (0.1%)

Memory

-23.3MiB live, 14.8MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

7.0ms	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)

regimes8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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 (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 x x (.f64 (.f64 x x) (.f64 #s(literal 1/12 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 #s(approx (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal 1/720 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 #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 (.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)) x) x #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.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)) 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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 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)))

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.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

6.9MiB live, 6.9MiB allocated

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 (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
1.0ms	(+.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

5.0MiB live, 5.0MiB allocated

Accuracy

Total -28.1b remaining (-3229.8%)

Threshold costs -28.1b (-3229.8%)

Counts

2 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify80.0ms (0.9%)

Memory

-12.7MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	79
1	39	79
2	55	79
3	87	79
4	156	79
5	327	79
6	749	79
7	1944	79
8	4140	79
9	7241	79

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness909.0ms (10.1%)

Memory

-14.1MiB live, 596.2MiB allocated

Iterations

Useful iterations: 1 (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
0	24	86
0	36	86
1	156	77
2	1203	77
0	8275	77
0	97	378
1	310	378
2	774	365
3	2019	364
4	4688	364
5	7443	364
0	8305	331
0	38	217
0	62	201
1	282	195
2	2153	195
0	8076	192
0	36	246
0	56	246
1	211	232
2	1507	232
0	8197	231

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
1×	iter limit
1×	node limit

Compiler

Compiled 229 to 140 computations (38.9% saved)

preprocess37.0ms (0.4%)

Memory: 29.2MiB live, 66.7MiB allocated
Remove: (abs x)
Compiler: Compiled 250 to 120 computations (52% 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%)

sample4.1s (45.4%)

explain369.0ms (4.1%)

preprocess25.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.1%)

localize161.0ms (1.8%)

series1.0ms (0%)

simplify174.0ms (1.9%)

rewrite164.0ms (1.8%)

eval31.0ms (0.3%)

prune16.0ms (0.2%)

simplify101.0ms (1.1%)

localize241.0ms (2.7%)

series8.0ms (0.1%)

simplify165.0ms (1.8%)

rewrite245.0ms (2.7%)

eval44.0ms (0.5%)

prune7.0ms (0.1%)

simplify213.0ms (2.4%)

localize349.0ms (3.9%)

series8.0ms (0.1%)

simplify141.0ms (1.6%)

rewrite190.0ms (2.1%)

eval73.0ms (0.8%)

prune9.0ms (0.1%)

simplify328.0ms (3.7%)

localize333.0ms (3.7%)

series8.0ms (0.1%)

simplify143.0ms (1.6%)

rewrite191.0ms (2.1%)

eval75.0ms (0.8%)

prune17.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify80.0ms (0.9%)

soundness909.0ms (10.1%)

preprocess37.0ms (0.4%)

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