Metrics for Hyperbolic sine

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.4s (19.2%)

Memory

53.2MiB live, 1 896.4MiB allocated

Samples

571.0ms	1 519×	2	valid
370.0ms	2 407×	1	valid
208.0ms	4 330×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 956.0ms

ival-exp: 673.0ms (70.4% of total)

ival-div: 93.0ms (9.7% of total)

ival-sub: 71.0ms (7.4% of total)

adjust: 70.0ms (7.3% of total)

ival-neg: 35.0ms (3.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain158.0ms (2.2%)

Memory

-0.6MiB live, 233.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
134	-	1	(-0.009265985976954527)	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`(exp.f64 (neg.f64 x))`
0	-	0	-	`(neg.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	133	1

Confusion

	Predicted +	Predicted -
+	133	1
-	0	122

Precision

1.0

Recall

0.9925373134328358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	1	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	98×	2	valid
28.0ms	260×	0	valid
25.0ms	154×	1	valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-exp: 56.0ms (72.6% of total)

ival-div: 6.0ms (7.8% of total)

ival-neg: 6.0ms (7.8% of total)

adjust: 4.0ms (5.2% of total)

ival-sub: 4.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess54.0ms (0.7%)

Memory

-21.5MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs 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
▶	52.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify14.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 x)
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.7%)

Memory

-3.3MiB live, 75.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	30.28852815822503	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

19.0ms	49×	2	valid
15.0ms	77×	1	valid
9.0ms	130×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-exp: 22.0ms (71.7% of total)

ival-div: 3.0ms (9.8% of total)

ival-sub: 3.0ms (9.8% of total)

adjust: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<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 (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.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 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 (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.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 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>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

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

simplify236.0ms (3.2%)

Memory

-25.4MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 924×	`lower-fma.f64`
11 924×	`lower-fma.f32`
2 872×	`lower-*.f64`
2 872×	`lower-*.f32`
2 296×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	213
1	155	212
2	347	212
3	882	212
4	1406	212
5	1768	212
6	2452	212
7	3225	212
8	3606	212
9	4303	212
10	6598	212
11	7621	212
12	7667	212
13	7685	212
14	7693	212
0	8178	196

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite91.0ms (1.2%)

Memory

2.9MiB live, 82.9MiB allocated

Rules

928×	`lower-*.f64`
928×	`lower-*.f32`
890×	`lower-/.f64`
890×	`lower-/.f32`
794×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	9	11
1	33	11
2	204	11
0	1926	11

Stop Event

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

Counts

4 → 127

Calls

Call 1

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

Outputs
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eval45.0ms (0.6%)

Memory: 5.1MiB live, 42.0MiB allocated
Compiler: Compiled 3 253 to 573 computations (82.4% saved)

prune30.0ms (0.4%)

Memory

-23.0MiB live, 16.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	7	176

Accuracy

100.0%

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.2%	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) #s(literal 2 binary64))
	50.2%	(/.f64 (-.f64 (exp.f64 x) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal 2 binary64))
▶	100.0%	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	89.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	83.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	54.3%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))

Compiler

Compiled 194 to 134 computations (30.9% saved)

simplify95.0ms (1.3%)

Memory

9.2MiB live, 91.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	0	(sinh.f64 x)
cost-diff	0	(*.f64 (sinh.f64 x) #s(literal 2 binary64))
cost-diff	1024	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))

Rules

4 552×	`lower-fma.f32`
4 540×	`lower-fma.f64`
2 200×	`lower-*.f32`
2 188×	`lower-*.f64`
1 704×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	283
0	55	283
1	95	279
2	174	263
3	376	263
4	852	263
5	1586	263
6	4351	263
7	7553	263
0	8080	263

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (2.8%)

Memory

13.3MiB live, 247.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	5.1946332212471695	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0390625	(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	6.6742175348388315	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
accuracy	0.09375	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	10.442331059573554	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
accuracy	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	29.26786271000511	#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0	(*.f64 (sinh.f64 x) #s(literal 2 binary64))
accuracy	0.00390625	(sinh.f64 x)

Samples

83.0ms	49×	2	valid
67.0ms	77×	1	valid
35.0ms	130×	0	valid

Compiler

Compiled 209 to 32 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

adjust: 51.0ms (32.3% of total)

ival-mult: 46.0ms (29.1% of total)

ival-exp: 28.0ms (17.7% of total)

const: 13.0ms (8.2% of total)

ival-add: 10.0ms (6.3% of total)

ival-div: 4.0ms (2.5% of total)

ival-sub: 2.0ms (1.3% of total)

ival-sinh: 2.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

-9.1MiB live, 28.6MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

28.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

simplify155.0ms (2.1%)

Memory

-14.7MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 714×	`lower-fma.f64`
10 714×	`lower-fma.f32`
3 544×	`lower-*.f64`
3 544×	`lower-*.f32`
2 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2218
1	389	2182
2	1039	2179
3	2997	2170
4	7408	2170
0	8271	2005

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow 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) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (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))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow 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) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (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))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
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(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 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)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.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)))
(* 1/2 (- (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) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.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)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.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)
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) x) x) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 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)
(* 1/60 (pow x 2))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))

rewrite215.0ms (2.9%)

Memory

-14.7MiB live, 261.2MiB allocated

Rules

4 670×	`lower-/.f32`
4 660×	`lower-/.f64`
4 266×	`lower-*.f32`
4 254×	`lower-*.f64`
3 562×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	261
0	55	241
1	214	241
2	1350	241
0	8150	241

Stop Event

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

Counts

22 → 621

Calls

Call 1

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

Outputs
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eval147.0ms (2%)

Memory: -7.8MiB live, 276.7MiB allocated
Compiler: Compiled 23 735 to 3 162 computations (86.7% saved)

prune80.0ms (1.1%)

Memory

18.0MiB live, 96.5MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	951	18	969
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	958	18	976

Accuracy

100.0%

Counts

976 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	89.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)))) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	83.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	90.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	40.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
	91.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	89.6%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	83.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	54.3%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
▶	100.0%	(sinh.f64 x)

Compiler

Compiled 632 to 410 computations (35.1% saved)

simplify56.0ms (0.8%)

Memory

7.7MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x)))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
cost-diff	6144	(fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))
cost-diff	0	#s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
cost-diff	320	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
cost-diff	0	(sinh.f64 x)

Rules

2 042×	`lower-fma.f32`
2 032×	`lower-fma.f64`
774×	`distribute-lft-in`
614×	`lower-*.f32`
594×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	420
0	64	417
1	105	414
2	177	409
3	310	409
4	586	409
5	1102	409
6	1450	409
7	1935	409
8	2027	409
9	2045	409
0	2045	406

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize183.0ms (2.5%)

Memory

-13.3MiB live, 217.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	0.08984375	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x)
accuracy	0.20703125	(.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	5.1946332212471695	#s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x)))
accuracy	0.08984375	(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
accuracy	5.1946332212471695	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	32.73865021191769	#s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0546875	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
accuracy	0.203125	(.f64 #s(literal 1/3 binary64) (.f64 x x))
accuracy	10.442331059573554	#s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
accuracy	0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	29.26786271000511	#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy	0.00390625	(sinh.f64 x)

Samples

46.0ms	77×	1	valid
42.0ms	49×	2	valid
38.0ms	130×	0	valid

Compiler

Compiled 281 to 34 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 32.0ms (31.9% of total)

ival-exp: 26.0ms (25.9% of total)

adjust: 12.0ms (11.9% of total)

const: 11.0ms (11% of total)

ival-add: 8.0ms (8% of total)

ival-sub: 5.0ms (5% of total)

ival-div: 3.0ms (3% of total)

ival-sinh: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

simplify154.0ms (2.1%)

Memory

-42.1MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 570×	`lower-fma.f64`
10 570×	`lower-fma.f32`
3 862×	`lower-*.f64`
3 862×	`lower-*.f32`
1 938×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	2136
1	378	2106
2	1003	2101
3	2746	2090
4	6885	2090
0	8213	1943

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow 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 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow 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 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
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(* 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) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) #s(literal -1/2520 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) x) x) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x)
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64)))
(* 1/2520 (pow x 2))
(.f64 #s(literal 1/2520 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))

rewrite205.0ms (2.8%)

Memory

17.6MiB live, 246.2MiB allocated

Rules

6 408×	`lower-fma.f32`
6 398×	`lower-fma.f64`
4 698×	`lower-*.f32`
4 678×	`lower-*.f64`
3 878×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	329
0	64	310
1	209	304
2	1231	304
0	8257	301

Stop Event

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

Counts

20 → 436

Calls

Call 1

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

Outputs
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eval105.0ms (1.4%)

Memory: 11.3MiB live, 209.7MiB allocated
Compiler: Compiled 21 332 to 3 089 computations (85.5% saved)

prune33.0ms (0.5%)

Memory

-8.3MiB live, 75.8MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	730	11	741
Fresh	7	6	13
Picked	1	4	5
Done	0	0	0
Total	738	21	759

Accuracy

100.0%

Counts

759 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓	83.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)))) x))) #s(literal 2 binary64))
✓	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
▶	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
	89.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	83.7%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	90.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	90.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	90.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶	88.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	40.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
	91.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))))
▶	90.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))))
▶	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	89.6%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
▶	83.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	90.6%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	54.3%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)

Compiler

Compiled 712 to 475 computations (33.3% saved)

simplify39.0ms (0.5%)

Memory

10.5MiB live, 49.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
cost-diff	0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)))
cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
cost-diff	128	(+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64))
cost-diff	6144	(fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))

Rules

1 914×	`lower-fma.f32`
1 900×	`lower-fma.f64`
844×	`distribute-lft-in`
576×	`lower-+.f32`
574×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	738
0	89	740
1	138	730
2	219	728
3	417	728
4	745	728
5	1226	728
6	1493	728
7	1843	728
8	1859	728
0	1859	728

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize259.0ms (3.5%)

Memory

-22.9MiB live, 229.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))))
accuracy	1.1936733914961846	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	32.73865021191769	#s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))
accuracy	0.01171875	(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64))
accuracy	1.1936733914961846	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
accuracy	0.0859375	(.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)
accuracy	1.1936733914961846	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy	1.8133446439607235	#s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64))
accuracy	32.73865021191769	#s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x))
accuracy	0	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
accuracy	1.4604670996171123	#s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
accuracy	0.07421875	(.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
accuracy	0.09375	(.f64 #s(literal 1/2520 binary64) (.f64 x x))
accuracy	0.171875	(.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
accuracy	1.1936733914961846	#s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)))

Samples

106.0ms	48×	2	valid
46.0ms	78×	1	valid
30.0ms	115×	0	exit
4.0ms	15×	0	valid

Compiler

Compiled 455 to 35 computations (92.3% saved)

Precisions

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

ival-add: 36.0ms (31% of total)

ival-mult: 27.0ms (23.3% of total)

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

const: 12.0ms (10.3% of total)

adjust: 9.0ms (7.8% of total)

ival-div: 6.0ms (5.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

9.7MiB live, 45.4MiB allocated

Counts

30 → 360

Calls

Call 1

Inputs
#s(alt (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (patch (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (patch (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) #<representation binary64>) () ())
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#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
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#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
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Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (patch (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (patch (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (patch (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) (patch (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x)) #<representation binary64>) () ())) ())
#s(alt 1/60 (taylor 0 x) (#s(alt (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (patch (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (patch (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (patch (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (patch (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) (patch #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) (patch #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (patch #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (patch #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (patch #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (patch #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify149.0ms (2%)

Memory

24.2MiB live, 217.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 104×	`lower-fma.f64`
15 104×	`lower-fma.f32`
4 586×	`lower-*.f64`
4 586×	`lower-*.f32`
2 418×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	3338
1	403	3308
2	1067	3300
3	2990	3272
0	8493	3060

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (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) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (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) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))

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

rewrite264.0ms (3.6%)

Memory

-10.9MiB live, 311.1MiB allocated

Rules

4 786×	`lower-*.f32`
4 756×	`lower-*.f64`
4 498×	`lower-fma.f32`
4 484×	`lower-fma.f64`
4 388×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	591
0	89	573
1	264	561
2	1546	561
0	8168	561

Stop Event

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

Counts

30 → 703

Calls

Call 1

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

Outputs
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eval282.0ms (3.8%)

Memory: 21.0MiB live, 293.2MiB allocated
Compiler: Compiled 38 307 to 4 383 computations (88.6% saved)

prune64.0ms (0.9%)

Memory

-16.4MiB live, 147.8MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 240	13	1 253
Fresh	7	5	12
Picked	3	2	5
Done	1	3	4
Total	1 251	23	1 274

Accuracy

100.0%

Counts

1 274 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
✓	91.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (.f64 (fma.f64 (+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 x x)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
	89.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	90.6%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)))) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
	40.0%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ ( (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
	91.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))))
	90.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
	83.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	91.5%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	89.6%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
✓	83.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	83.7%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	90.6%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	88.4%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
	34.4%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 1/2 binary64))
	91.9%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	54.3%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)

Compiler

Compiled 1 313 to 524 computations (60.1% saved)

regimes64.0ms (0.9%)

Memory

-5.5MiB live, 72.9MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs
(sinh.f64 x)

Calls

3 calls:

26.0ms	x
25.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes53.0ms (0.7%)

Memory

-1.6MiB live, 49.5MiB allocated

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

29.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
12.0ms	x
9.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.9%	1	`x`
91.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes21.0ms (0.3%)

Memory

-4.5MiB live, 35.1MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.9%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.9%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.9%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes70.0ms (1%)

Memory

-10.2MiB live, 29.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

59.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.5%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes15.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
90.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
90.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
90.6%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes55.0ms (0.7%)

Memory

-20.1MiB live, 19.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
89.6%	1	`x`
89.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
89.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
88.4%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes9.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
83.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
83.7%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes40.0ms (0.5%)

Memory

-29.2MiB live, 10.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
83.7%	1	`x`
83.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
83.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
82.8%	2	`x`
82.8%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
82.8%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.3%	1	`x`
54.3%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
54.3%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.11989000302216213	260444689383.25583

Compiler

Compiled 11 to 11 computations (0% saved)

simplify52.0ms (0.7%)

Memory

-0.5MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	290
1	114	290
2	119	290
3	122	290
4	123	290

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))

Outputs
(sinh.f64 x)
(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) (.f64 x x) (.f64 #s(literal 2 binary64) x))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 x x) #s(literal 1/60 binary64)) x) x)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (.f64 (.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 (.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 1/2 binary64)))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(approx (+ (* (* x x) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)) #s(literal 1/2 binary64)))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))

soundness2.0s (26.7%)

Memory

24.4MiB live, 938.6MiB allocated

Rules

15 104×	`lower-fma.f64`
15 104×	`lower-fma.f32`
11 924×	`lower-fma.f64`
11 924×	`lower-fma.f32`
10 714×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	3338
1	403	3308
2	1067	3300
3	2990	3272
0	8493	3060
0	52	591
0	89	573
1	264	561
2	1546	561
0	8168	561
0	31	261
0	55	241
1	214	241
2	1350	241
0	8150	241
0	5	13
0	9	11
1	33	11
2	204	11
0	1926	11
0	116	2136
1	378	2106
2	1003	2101
3	2746	2090
4	6885	2090
0	8213	1943
0	120	2218
1	389	2182
2	1039	2179
3	2997	2170
4	7408	2170
0	8271	2005
0	39	329
0	64	310
1	209	304
2	1231	304
0	8257	301
0	55	213
1	155	212
2	347	212
3	882	212
4	1406	212
5	1768	212
6	2452	212
7	3225	212
8	3606	212
9	4303	212
10	6598	212
11	7621	212
12	7667	212
13	7685	212
14	7693	212
0	8178	196

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
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 758 to 368 computations (51.5% saved)

preprocess106.0ms (1.4%)

Memory: -34.0MiB live, 201.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 382 to 166 computations (56.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (19.2%)

explain158.0ms (2.2%)

preprocess54.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.2%)

localize49.0ms (0.7%)

series2.0ms (0%)

simplify236.0ms (3.2%)

rewrite91.0ms (1.2%)

eval45.0ms (0.6%)

prune30.0ms (0.4%)

simplify95.0ms (1.3%)

localize205.0ms (2.8%)

series43.0ms (0.6%)

simplify155.0ms (2.1%)

rewrite215.0ms (2.9%)

eval147.0ms (2%)

prune80.0ms (1.1%)

simplify56.0ms (0.8%)

localize183.0ms (2.5%)

series17.0ms (0.2%)

simplify154.0ms (2.1%)

rewrite205.0ms (2.8%)

eval105.0ms (1.4%)

prune33.0ms (0.5%)

simplify39.0ms (0.5%)

localize259.0ms (3.5%)

series27.0ms (0.4%)

simplify149.0ms (2%)

rewrite264.0ms (3.6%)

eval282.0ms (3.8%)

prune64.0ms (0.9%)

regimes64.0ms (0.9%)

regimes53.0ms (0.7%)

regimes21.0ms (0.3%)

regimes70.0ms (1%)

regimes15.0ms (0.2%)

regimes55.0ms (0.7%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes40.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify52.0ms (0.7%)

soundness2.0s (26.7%)

preprocess106.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23