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)

sample5.7s (44.3%)

Memory

65.8MiB live, 4 049.8MiB allocated

Samples

4.1s	4 083×	2	valid
873.0ms	3 206×	1	valid
76.0ms	967×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.5s

ival-exp: 3.5s (78.8% of total)

adjust: 535.0ms (11.9% of total)

ival-add: 155.0ms (3.4% of total)

ival-sub: 133.0ms (3% of total)

ival-fabs: 57.0ms (1.3% of total)

ival-neg: 34.0ms (0.8% of total)

ival-<=: 25.0ms (0.6% of total)

exact: 10.0ms (0.2% of total)

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

Bogosity

explain331.0ms (2.6%)

Memory

-31.9MiB live, 501.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
142	0	-	-	`(+.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	1	(-179.9096229987029)	-	`(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	142	1
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	142	0
-	1	113

Precision

0.993006993006993

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	0	0
-	1	2	111

Precision?

0.9793103448275862

Recall?

1.0

Freqs

test

number	freq
0	113
1	143

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

189.0ms	220×	2	valid
44.0ms	220×	1	valid
5.0ms	72×	0	valid

Compiler

Compiled 75 to 32 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-exp: 137.0ms (63.6% of total)

ival-add: 53.0ms (24.6% of total)

adjust: 12.0ms (5.6% of total)

ival-sub: 10.0ms (4.6% of total)

ival-neg: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess29.0ms (0.2%)

Memory

5.5MiB live, 48.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.2%	(+.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

20.6MiB live, 20.6MiB 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	273	21
7	329	21
8	382	21
9	384	21
0	384	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)

localize112.0ms (0.9%)

Memory

8.4MiB live, 204.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.026591230164287515	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	32.47019706281694	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

80.0ms	110×	2	valid
22.0ms	110×	1	valid
2.0ms	36×	0	valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

ival-exp: 77.0ms (83.1% of total)

adjust: 8.0ms (8.6% of total)

ival-add: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

-33.4MiB live, 5.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
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)))

Time

Variable

Point

Expression

2.0ms

-inf

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

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)))

simplify193.0ms (1.5%)

Memory

3.4MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

rewrite182.0ms (1.4%)

Memory

18.6MiB live, 169.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

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

Counts

4 → 245

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
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eval51.0ms (0.4%)

Memory: -3.8MiB live, 82.5MiB allocated
Compiler: Compiled 6 709 to 794 computations (88.2% saved)

prune11.0ms (0.1%)

Memory

-8.7MiB live, 30.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	285	8	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	9	294

Accuracy

100.0%

Counts

294 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
	49.2%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	49.3%	(/.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 -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
▶	49.2%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
▶	49.3%	(/.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))) (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))))
▶	49.3%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	49.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	97.8%	#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)))
▶	97.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 260 to 159 computations (38.8% saved)

simplify126.0ms (1%)

Memory

14.4MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 x) #s(literal -3 binary64))
cost-diff	0	(+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
cost-diff	0	(/.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))) (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))))
cost-diff	128	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	128	(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
cost-diff	128	(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff	7040	(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (exp.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	7104	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	244
0	67	242
1	125	233
2	265	227
3	792	221
4	2718	221
0	8225	208

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

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

localize361.0ms (2.8%)

Memory

2.2MiB live, 360.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.046875	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	0.05763627930532605	(pow.f64 (exp.f64 x) #s(literal -3 binary64))
accuracy	0.1640625	(/.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))) (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))))
accuracy	32.45287204662465	(+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
accuracy	0.01171875	(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
accuracy	0.02734375	(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
accuracy	0.15234375	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
accuracy	32.52138003380434	(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
accuracy	0	(exp.f64 x)
accuracy	0.026591230164287515	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.03125	(/.f64 #s(literal -1 binary64) (exp.f64 x))
accuracy	32.47019706281694	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
accuracy	0	(*.f64 x x)
accuracy	1.7542695850609984	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	1.3779817221111172	#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)))

Samples

187.0ms	219×	1	valid
12.0ms	37×	0	valid

Compiler

Compiled 466 to 76 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-exp: 34.0ms (20.4% of total)

ival-pow: 28.0ms (16.8% of total)

adjust: 20.0ms (12% of total)

ival-sub: 19.0ms (11.4% of total)

ival-mult: 18.0ms (10.8% of total)

ival-add: 14.0ms (8.4% of total)

ival-cosh: 11.0ms (6.6% of total)

ival-div: 9.0ms (5.4% of total)

ival-sinh: 6.0ms (3.6% of total)

const: 4.0ms (2.4% 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)

series34.0ms (0.3%)

Memory

2.7MiB live, 39.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (patch (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (/.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))) (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)))) (patch (/.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))) (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)))) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (patch (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt 12 (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* 6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))
8.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))
4.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))

Time

Variable

Point

Expression

11.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))

8.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))

4.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* x x) (+ (- (exp x) 2) (exp (neg x))) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ -2 (* 2 (sinh x))) (/ (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (+ -2 (* 2 (sinh x)))) (pow (exp x) -2))) (+ (pow (exp x) -3) (pow (- (exp x) 2) 3)) (pow (exp x) -3) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3) (pow (exp x) -2))

simplify254.0ms (2%)

Memory

34.9MiB live, 219.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	2370
1	558	2338
2	1399	2274
3	3958	2210
4	5958	2210
5	7498	2210
0	8194	2070

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 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
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
4
(+ 4 (* 2 (pow x 2)))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
8
(+ 8 (* 2 (pow x 2)))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(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))))))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -6 x)))
(* (pow x 2) (+ 3 (* x (- (* 13/4 x) 6))))
(* (pow x 2) (+ 3 (* x (- (* x (+ 13/4 (* -3/2 x))) 6))))
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 9/2 x) 3)))
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))
(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))))))))
8
(+ 8 (* 12 (pow x 2)))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(/ (+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3)) (+ (* (- (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x))))) (/ 1 (pow (exp x) 2))))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(+ (/ 1 (pow (exp x) 3)) (pow (- (exp x) 2) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ 1 (pow (exp x) 3))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp 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))))))
(.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)
(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 (* 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 (* 1/12 (pow x 2))))
(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 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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))))))
(.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)
(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))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
-1
#s(literal -1 binary64)
(- 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 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
-1
#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 (- (* 1/6 x) 1/2)))) 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))
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) #s(literal 6 binary64)) (.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
(* 12 (pow x 2))
(.f64 #s(literal 12 binary64) (.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (.f64 x x) #s(literal 7 binary64)) (.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (.f64 x x) #s(literal 61/30 binary64)) (.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
8
#s(literal 8 binary64)
(+ 8 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(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))))))
(.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)
(* 3 (pow x 2))
(.f64 #s(literal 3 binary64) (.f64 x x))
(* (pow x 2) (+ 3 (* -6 x)))
(.f64 (.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* 13/4 x) 6))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 13/4 binary64) x #s(literal -6 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (- (* x (+ 13/4 (* -3/2 x))) 6))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 13/4 binary64)) x #s(literal -6 binary64)) x #s(literal 3 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 9/2 x) 3)))
(fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 9/2 (* -9/2 x))) 3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal -3 binary64)) x #s(literal 1 binary64))
(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))))))
(.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)
8
#s(literal 8 binary64)
(+ 8 (* 12 (pow x 2)))
(fma.f64 #s(literal 12 binary64) (*.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7 binary64) (.f64 x x) #s(literal 12 binary64)) (.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (.f64 x x) #s(literal 7 binary64)) (.f64 x x) #s(literal 12 binary64)) (*.f64 x x) #s(literal 8 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 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) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 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))
(* (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))
(* (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))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (/ 1 (exp 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) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ -1 (exp x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/ -1 (exp x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/ -1 (exp x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/ -1 (exp x))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite235.0ms (1.8%)

Memory

2.7MiB live, 251.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	185
0	67	181
1	298	166
2	2382	166
0	8921	154

Stop Event

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

Counts

20 → 667

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(+.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.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))) (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 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 x) #s(literal -3 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))

Outputs
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eval141.0ms (1.1%)

Memory: 26.6MiB live, 283.0MiB allocated
Compiler: Compiled 31 684 to 2 699 computations (91.5% saved)

prune33.0ms (0.3%)

Memory

1.7MiB live, 79.8MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 065	5	1 070
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	1 069	10	1 079

Accuracy

100.0%

Counts

1 079 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
▶	49.2%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
▶	49.2%	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
▶	49.3%	(/.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 -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
	49.3%	(/.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))) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (.f64 #s(literal -2 binary64) x))))
✓	49.3%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	49.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	97.8%	#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)))
▶	97.8%	#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)))))
✓	97.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 259 to 163 computations (37.1% saved)

simplify212.0ms (1.7%)

Memory

-28.2MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
cost-diff	6464	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff	0	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff	0	(/.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 -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
cost-diff	128	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 (cosh.f64 x) #s(literal 2 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	(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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	209
0	66	197
1	114	197
2	216	195
3	465	189
4	1179	189
5	4298	189
6	7157	189
0	8165	185

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

Outputs
#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))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x))
(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 3 binary64)) #s(literal 1/12 binary64) 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 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(/.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 -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.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))) (fma.f64 (sinh.f64 x) #s(literal -2 binary64) #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)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))

localize314.0ms (2.5%)

Memory

11.3MiB live, 357.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy	0.02734375	(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
accuracy	0.15234375	(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
accuracy	32.52138003380434	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
accuracy	0.026591230164287515	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.02734375	(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.046875	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	32.4681819596752	(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	0.00390625	(cosh.f64 x)
accuracy	32.52323834707707	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.15234375	(.f64 (.f64 x x) (*.f64 x x))
accuracy	1.3779817221111172	#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	(pow.f64 x #s(literal 4 binary64))
accuracy	0.00390625	(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy	0.109375	(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	1.3779817221111172	#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)))))

Samples

184.0ms	111×	2	valid
76.0ms	109×	1	valid
12.0ms	36×	0	valid

Compiler

Compiled 392 to 74 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-exp: 66.0ms (28.8% of total)

ival-cosh: 38.0ms (16.6% of total)

adjust: 27.0ms (11.8% of total)

ival-add: 26.0ms (11.4% of total)

ival-mult: 23.0ms (10% of total)

ival-pow: 16.0ms (7% of total)

ival-pow2: 12.0ms (5.2% of total)

ival-div: 8.0ms (3.5% of total)

ival-sub: 6.0ms (2.6% of total)

const: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

ival-sinh: 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)

series46.0ms (0.4%)

Memory

-3.6MiB live, 33.5MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (patch (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (/.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 -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (patch (/.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 -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (patch (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (patch (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (+ (* (cosh x) 2) -2) (cosh x) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4))) (+ (* (pow (cosh x) 3) 8) -8) (pow (cosh x) 3) (pow (exp x) -2) (- (exp x) 2) (pow (cosh x) 2))

5.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (+ (* (cosh x) 2) -2) (cosh x) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4))) (+ (* (pow (cosh x) 3) 8) -8) (pow (cosh x) 3) (pow (exp x) -2) (- (exp x) 2) (pow (cosh x) 2))

2.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (+ (* (cosh x) 2) -2) (cosh x) (+ -2 (* 2 (sinh x))) (/ (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (+ -2 (* 2 (sinh x)))) (- (pow (- (exp x) 2) 2) (pow (exp x) -2)) (pow (- (exp x) 2) 2) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4))) (+ (* (pow (cosh x) 3) 8) -8) (pow (cosh x) 3) (pow (exp x) -2) (- (exp x) 2) (pow (cosh x) 2))

simplify655.0ms (5.1%)

Memory

-19.9MiB live, 367.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	2400
1	565	2368
2	1478	2274
3	2916	2250
4	5657	2250
5	7370	2250
0	8359	2127

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (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)))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(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))))))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 x) 2))
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(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))))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(/ (- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2))) (- (exp x) (+ 2 (/ 1 (exp x)))))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(- (pow (- (exp x) 2) 2) (/ 1 (pow (exp x) 2)))
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(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 (* 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 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(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 (* 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 (* 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* -2 (pow x 2))
(.f64 #s(literal -2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 x) 2))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) x)
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/6 binary64)) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -2 binary64)) x #s(literal 1 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 x x) #s(literal 6 binary64)) (.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* 12 (pow x 2))
(.f64 #s(literal 12 binary64) (.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (.f64 x x) #s(literal 7 binary64)) (.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (.f64 x x) #s(literal 61/30 binary64)) (.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (.f64 x x) #s(literal 3/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (.f64 x x) #s(literal 7/8 binary64)) (.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
-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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.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))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 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))
(* (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))
(* (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))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
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(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))

rewrite212.0ms (1.7%)

Memory

15.9MiB live, 283.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	177
0	66	165
1	281	159
2	1992	159
0	8810	155

Stop Event

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

Counts

21 → 703

Calls

Call 1

Inputs
#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))
#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 x x)
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.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))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))

Outputs
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eval213.0ms (1.7%)

Memory: -10.0MiB live, 354.8MiB allocated
Compiler: Compiled 26 918 to 2 753 computations (89.8% saved)

prune29.0ms (0.2%)

Memory

-7.5MiB live, 70.3MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 066	7	1 073
Fresh	2	0	2
Picked	4	1	5
Done	0	3	3
Total	1 072	11	1 083

Accuracy

100.0%

Counts

1 083 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
▶	47.2%	(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))
▶	47.1%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
▶	46.9%	(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))
	49.3%	(/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
	49.2%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
▶	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
✓	49.3%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	49.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	97.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	97.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 250 to 176 computations (29.6% saved)

simplify140.0ms (1.1%)

Memory

8.2MiB live, 126.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))
cost-diff	896	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
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(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))
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
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(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))
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
cost-diff	320	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	286
0	72	284
1	135	276
2	240	274
3	468	268
4	1027	268
5	2435	268
6	4273	268
7	7805	268
0	8352	266

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
x
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(*.f64 x x)
#s(literal 1/12 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(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(literal -2 binary64)
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#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(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(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 4 binary64)
#s(literal -4 binary64)

localize602.0ms (4.7%)

Memory

15.8MiB live, 376.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy	0.1875	(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))
accuracy	0.43531079499117975	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
accuracy	32.52151872659734	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))
accuracy	0.01171875	(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	0.01953125	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy	1.253541274075623	#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	32.52323834707707	(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))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	1.3428248100182743	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	32.52323834707707	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	1.4279781138831003	#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	32.52323834707707	(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))
accuracy	0.0859375	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))
accuracy	0.09375	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
accuracy	0.2421875	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	1.3779817221111172	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))

Samples

259.0ms	110×	2	valid
248.0ms	110×	1	valid
12.0ms	36×	0	valid

Compiler

Compiled 489 to 77 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 449.0ms

adjust: 151.0ms (33.6% of total)

ival-exp: 140.0ms (31.2% of total)

ival-add: 65.0ms (14.5% of total)

ival-cosh: 36.0ms (8% of total)

ival-mult: 27.0ms (6% of total)

const: 13.0ms (2.9% of total)

ival-pow2: 6.0ms (1.3% of total)

ival-div: 5.0ms (1.1% of total)

ival-sub: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series187.0ms (1.5%)

Memory

-23.0MiB live, 27.8MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (patch (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (patch (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (patch (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (patch (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/12 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/12 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/12 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/12 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

170.0ms

-inf

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

5.0ms

inf

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

2.0ms

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

simplify660.0ms (5.2%)

Memory

19.7MiB live, 177.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	2588
1	443	2588
2	1144	2532
3	3020	2532
4	4940	2532
5	5766	2532
6	6484	2532
0	8054	2370

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

rewrite281.0ms (2.2%)

Memory

-5.4MiB live, 259.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	252
0	72	250
1	321	222
2	2395	222
0	9859	219

Stop Event

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

Counts

24 → 705

Calls

Call 1

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

Outputs
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eval190.0ms (1.5%)

Memory: -5.0MiB live, 368.9MiB allocated
Compiler: Compiled 27 280 to 3 118 computations (88.6% saved)

prune39.0ms (0.3%)

Memory

18.0MiB live, 130.2MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 124	5	1 129
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	1 125	15	1 140

Accuracy

100.0%

Counts

1 140 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.2%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	47.2%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) 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))
	47.2%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (+.f64 (.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))
✓	47.1%	(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
✓	46.9%	(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))
	2.8%	(fma.f64 #s(approx (cosh x) #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (.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 2 binary64) #s(literal -2 binary64))
	49.3%	(/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
	49.2%	(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))
✓	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))
	97.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (cosh x) 2) 2) (+ (* (pow (cosh x) 2) 4) -4)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6048 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)))
✓	49.3%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	49.2%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	97.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 (.f64 x x) (.f64 #s(literal 1/12 binary64) x)))))
✓	97.8%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	97.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 631 to 276 computations (56.3% saved)

regimes22.0ms (0.2%)

Memory

-17.2MiB live, 68.8MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

(/.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))) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Calls

2 calls:

11.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
9.0ms	x

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes41.0ms (0.3%)

Memory

-5.7MiB live, 33.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))

Calls

2 calls:

34.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes12.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes48.0ms (0.4%)

Memory

-13.0MiB live, 25.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))))

Calls

2 calls:

42.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
5.0ms	x

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes16.0ms (0.1%)

Memory

-31.3MiB live, 27.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes10.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory

-12.1MiB live, 26.2MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

2 calls:

8.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

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
97.8%	1	`x`
97.8%	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

8.4MiB live, 8.4MiB allocated

Accuracy

Total -32.2b remaining (-1836.1%)

Threshold costs -32.2b (-1836.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch3.0ms (0%)

Memory

-36.1MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
3.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0573757414089613e-7	0.022277620247339813

Compiler

Compiled 11 to 11 computations (0% saved)

simplify28.0ms (0.2%)

Memory

32.2MiB live, 70.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	360
1	83	360
2	100	360
3	112	360
4	118	360
5	120	360

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.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))) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Outputs
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.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))) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (/.f64 (+.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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) x))) (+.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness956.0ms (7.5%)

Memory

-31.2MiB live, 808.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14
0	40	185
0	67	181
1	298	166
2	2382	166
0	8921	154
0	38	177
0	66	165
1	281	159
2	1992	159
0	8810	155

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×	iter limit
1×	node limit

Compiler

Compiled 733 to 344 computations (53.1% saved)

preprocess71.0ms (0.6%)

Memory: 13.0MiB live, 165.1MiB allocated
Compiler: Compiled 818 to 262 computations (68% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21

start0.0ms (0%)

analyze0.0ms (0%)

sample5.7s (44.3%)

explain331.0ms (2.6%)

preprocess29.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify12.0ms (0.1%)

localize112.0ms (0.9%)

series4.0ms (0%)

simplify193.0ms (1.5%)

rewrite182.0ms (1.4%)

eval51.0ms (0.4%)

prune11.0ms (0.1%)

simplify126.0ms (1%)

localize361.0ms (2.8%)

series34.0ms (0.3%)

simplify254.0ms (2%)

rewrite235.0ms (1.8%)

eval141.0ms (1.1%)

prune33.0ms (0.3%)

simplify212.0ms (1.7%)

localize314.0ms (2.5%)

series46.0ms (0.4%)

simplify655.0ms (5.1%)

rewrite212.0ms (1.7%)

eval213.0ms (1.7%)

prune29.0ms (0.2%)

simplify140.0ms (1.1%)

localize602.0ms (4.7%)

series187.0ms (1.5%)

simplify660.0ms (5.2%)

rewrite281.0ms (2.2%)

eval190.0ms (1.5%)

prune39.0ms (0.3%)

regimes22.0ms (0.2%)

regimes41.0ms (0.3%)

regimes12.0ms (0.1%)

regimes48.0ms (0.4%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify28.0ms (0.2%)

soundness956.0ms (7.5%)

preprocess71.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	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	273	21
7	329	21
8	382	21
9	384	21
0	384	21