Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample3.6s (33.5%)

Memory

57.8MiB live, 3 256.2MiB allocated

Samples

2.5s	5 741×	2	valid
693.0ms	2 423×	1	valid
6.0ms	92×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-cos: 1.6s (59% of total)

const: 327.0ms (12% of total)

ival-<=: 313.0ms (11.5% of total)

ival-sub: 246.0ms (9% of total)

adjust: 211.0ms (7.8% of total)

ival-and: 12.0ms (0.4% of total)

exact: 5.0ms (0.2% of total)

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

Bogosity

explain137.0ms (1.3%)

Memory

-29.9MiB live, 209.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms	364×	2	valid
12.0ms	136×	1	valid
0.0ms	12×	0	valid

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-cos: 54.0ms (76% of total)

adjust: 9.0ms (12.7% of total)

ival-sub: 7.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess14.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
20×	`sub-neg`
18×	`lower--.f32`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Rules

24×	`lower-+.f64`
24×	`lower-+.f32`
18×	`lower--.f32`
16×	`sub-neg`
16×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	10	8
2	14	8
3	19	8
4	25	8
5	33	8
6	43	8
7	54	8
8	57	8
0	57	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x

Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x

localize76.0ms (0.7%)

Memory

-72.5MiB live, 67.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(cos.f64 x)
accuracy	28.709674588907824	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

65.0ms	182×	2	valid
5.0ms	68×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-cos: 37.0ms (80.6% of total)

adjust: 5.0ms (10.9% of total)

ival-sub: 4.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())

#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- 1 (cos x)) (cos x))
0.0ms	x	@	inf	((- 1 (cos x)) (cos x))
0.0ms	x	@	-inf	((- 1 (cos x)) (cos x))

simplify515.0ms (4.9%)

Memory

39.8MiB live, 228.0MiB allocated

Algorithm

1×	egg-herbie

Rules

32 720×	`lower-fma.f64`
32 720×	`lower-fma.f32`
3 926×	`lower-*.f64`
3 926×	`lower-*.f32`
3 120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	144
1	101	144
2	246	144
3	588	144
4	1237	144
5	1916	144
6	2187	144
7	2836	144
8	4071	144
9	5644	144
10	6543	144
11	6823	144
12	6862	144
13	6862	144
14	7274	144
15	7556	144
16	7597	144
17	7599	144
18	7599	144
19	7599	144
20	7599	144
21	7609	144
22	7609	144
23	7609	144
0	8514	132

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite216.0ms (2%)

Memory

-25.5MiB live, 253.7MiB allocated

Rules

4 830×	`lower-*.f64`
4 830×	`lower-*.f32`
4 620×	`lower-/.f64`
4 620×	`lower-/.f32`
3 866×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
0	6	6
1	23	6
2	142	6
3	1153	6
0	9240	6

Stop Event

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

Counts

2 → 314

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
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(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))

eval35.0ms (0.3%)

Memory: 27.8MiB live, 100.0MiB allocated
Compiler: Compiled 10 777 to 907 computations (91.6% saved)

prune167.0ms (1.6%)

Memory

-3.3MiB live, 165.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	331	7	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	7	339

Accuracy

100.0%

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	54.9%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.8%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 148 to 86 computations (41.9% saved)

simplify14.0ms (0.1%)

Memory

-26.9MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Rules

116×	`lower-*.f32`
106×	`lower-*.f64`
92×	`lower-fma.f32`
88×	`lower-fma.f64`
88×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	38	126
1	61	126
2	89	126
3	126	126
4	153	126
5	176	126
6	198	126
7	221	126
8	226	126
0	226	126

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)

Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize123.0ms (1.2%)

Memory

37.5MiB live, 260.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.01171875	(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
accuracy	0.10237462886192047	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.13654822581760317	#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy	28.709674588907824	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 1/2 binary64))
accuracy	0.615392743166868	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0.7066504479027018	#s(approx (cos x) #s(literal 1 binary64))
accuracy	28.709674588907824	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy	0	(sin.f64 x)
accuracy	0.0078125	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Samples

86.0ms	182×	2	valid
21.0ms	68×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 97 to 22 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-cos: 32.0ms (42.8% of total)

adjust: 14.0ms (18.7% of total)

ival-mult: 11.0ms (14.7% of total)

const: 5.0ms (6.7% of total)

ival-sub: 4.0ms (5.3% of total)

ival-div: 2.0ms (2.7% of total)

ival-add: 2.0ms (2.7% of total)

ival-sin: 2.0ms (2.7% of total)

ival-tan: 2.0ms (2.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series15.0ms (0.1%)

Memory

-9.4MiB live, 28.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.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(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
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#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/2 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

inf

((* (sin x) (tan (/ x 2))) (sin x) (tan (/ x 2)) (/ x 2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2))

2.0ms

-inf

((* (sin x) (tan (/ x 2))) (sin x) (tan (/ x 2)) (/ x 2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2))

2.0ms

((* (sin x) (tan (/ x 2))) (sin x) (tan (/ x 2)) (/ x 2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (* (* x x) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2))

simplify231.0ms (2.2%)

Memory

10.2MiB live, 254.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 340×	`lower-fma.f64`
16 340×	`lower-fma.f32`
4 698×	`lower-*.f64`
4 698×	`lower-*.f32`
2 410×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1286
1	272	1280
2	689	1280
3	2133	1280
4	4257	1280
5	6593	1280
0	8559	1190

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(sin x)
(sin x)
(sin x)
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(sin x)
(sin x)
(sin x)
(sin x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))

Outputs
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (.f64 x x) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 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)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 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 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1/24 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(.f64 (/.f64 (sin.f64 x) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 x #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 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 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1/24 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))

rewrite227.0ms (2.1%)

Memory

-2.5MiB live, 265.5MiB allocated

Rules

5 794×	`lower-fma.f32`
5 790×	`lower-fma.f64`
4 176×	`lower-*.f32`
4 166×	`lower-*.f64`
2 614×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	38	109
1	129	109
2	770	109
3	6266	106
0	8413	106

Stop Event

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

Counts

16 → 609

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) x))) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(.f64 (tan.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(.f64 (sin.f64 x) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(.f64 (sin.f64 x) (tan.f64 (.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) x)) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x) (fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) x) (/.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/576 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) x) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 x x)))

eval95.0ms (0.9%)

Memory: 33.2MiB live, 260.8MiB allocated
Compiler: Compiled 19 537 to 1 744 computations (91.1% saved)

prune178.0ms (1.7%)

Memory

-5.8MiB live, 323.9MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	842	4	846
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	845	8	853

Accuracy

100.0%

Counts

853 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	54.9%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	4.2%	(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
	100.0%	(.f64 (sin.f64 x) #s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
▶	99.8%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 165 to 89 computations (46.1% saved)

simplify24.0ms (0.2%)

Memory

-32.2MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
cost-diff	0	#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
cost-diff	0	#s(approx (cos x) #s(literal 1 binary64))
cost-diff	0	(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))

Rules

536×	`lower-fma.f32`
526×	`lower-fma.f64`
334×	`lower-*.f32`
322×	`lower-*.f64`
174×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	223
0	49	223
1	85	223
2	142	223
3	292	223
4	473	223
5	544	223
6	566	223
7	588	223
8	592	223
0	592	223

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)

localize267.0ms (2.5%)

Memory

-7.3MiB live, 316.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	28.709674588907824	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	0	(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy	0.10237462886192047	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
accuracy	0.00390625	(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.01171875	(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
accuracy	0.10237462886192047	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
accuracy	0.6281560191325527	#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.7066504479027018	#s(approx (cos x) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy	0.00390625	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy	0.015625	(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
accuracy	0.015625	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)

Samples

192.0ms	182×	2	valid
28.0ms	68×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 166 to 28 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 61.0ms (40.5% of total)

ival-cos: 38.0ms (25.2% of total)

adjust: 20.0ms (13.3% of total)

ival-add: 15.0ms (10% of total)

const: 12.0ms (8% of total)

ival-sub: 4.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) (patch #s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (patch #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) (patch #s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) (patch (.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/24 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (cos x) 1) (cos x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (+ (* 1/720 (* x x)) -1/24))

2.0ms

-inf

((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (cos x) 1) (cos x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (+ (* 1/720 (* x x)) -1/24))

1.0ms

((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (cos x) 1) (cos x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (+ (* 1/720 (* x x)) -1/24))

simplify187.0ms (1.8%)

Memory

31.3MiB live, 287.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 536×	`lower-fma.f64`
19 536×	`lower-fma.f32`
4 052×	`lower-*.f64`
4 052×	`lower-*.f32`
3 364×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1734
1	238	1734
2	603	1734
3	1666	1734
4	4716	1734
0	8008	1593

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
-1/2
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
(- (* 1/24 (pow x 2)) 1/2)
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* 1/720 (pow x 2)) 1/24)
(- (* 1/720 (pow x 2)) 1/24)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 3))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))

Outputs
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
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(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* -1/24 (pow x 4))
(.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 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 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/24 (pow x 4))
(.f64 (.f64 #s(literal 1/24 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x) x)
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/720 (pow x 2))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))

rewrite202.0ms (1.9%)

Memory

-4.2MiB live, 309.7MiB allocated

Rules

5 760×	`lower-fma.f32`
5 750×	`lower-fma.f64`
4 484×	`lower-*.f32`
4 472×	`lower-*.f64`
3 886×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	203
0	49	203
1	181	203
2	1228	203
0	8314	203

Stop Event

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

Counts

19 → 481

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(.f64 #s(approx (+ ( -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x #s(literal -1/4 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x #s(literal 1/2 binary64))))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 x x))))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) x))
(fma.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) (.f64 x (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x)))
(fma.f64 x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(+.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) x))
(+.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
(+.f64 (.f64 x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x)) (.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 x (.f64 #s(literal 1/2 binary64) x)) (.f64 x (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x)))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
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(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (neg.f64 (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))

eval156.0ms (1.5%)

Memory: 2.9MiB live, 261.1MiB allocated
Compiler: Compiled 22 702 to 1 770 computations (92.2% saved)

prune163.0ms (1.5%)

Memory

3.1MiB live, 241.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	802	2	804
Fresh	1	0	1
Picked	1	4	5
Done	0	2	2
Total	804	8	812

Accuracy

100.0%

Counts

812 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	54.9%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
✓	99.8%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
▶	4.2%	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Compiler

Compiled 91 to 50 computations (45.1% saved)

simplify16.0ms (0.2%)

Memory

-14.8MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
cost-diff	640	(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
cost-diff	0	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Rules

420×	`lower-fma.f32`
416×	`lower-fma.f64`
250×	`lower-*.f32`
238×	`lower-*.f64`
142×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	110
0	29	108
1	51	104
2	80	104
3	157	100
4	373	96
5	564	96
6	595	96
7	610	96
8	614	96
0	614	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)
(.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (.f64 x x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)
(.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)

localize132.0ms (1.2%)

Memory

-4.1MiB live, 231.9MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)
accuracy	0.09765625	(.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))
accuracy	0.12890625	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
accuracy	0.30859375	(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
accuracy	0.675400566828786	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Samples

95.0ms	182×	2	valid
19.0ms	68×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 97 to 21 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-cos: 27.0ms (29.6% of total)

ival-mult: 21.0ms (23% of total)

const: 17.0ms (18.6% of total)

adjust: 14.0ms (15.4% of total)

ival-add: 8.0ms (8.8% of total)

ival-sub: 3.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (patch #s(approx (+ (cos x) 1) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) (patch #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (patch (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #<representation binary64>) () ())

Outputs
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (patch #s(approx (+ (cos x) 1) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (patch #s(approx (+ (cos x) 1) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (patch #s(approx (+ (cos x) 1) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt #s(approx (+ (cos x) 1) #s(literal 2 binary64)) (patch #s(approx (+ (cos x) 1) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) (patch (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) (patch #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) (patch #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) (patch #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) (patch #s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/2 binary64)) (patch (.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/24 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/720 (pow x 2)) 1/24)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/720 (pow x 6)) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) (patch (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow x 5)) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (patch (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (patch (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (patch (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (patch (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((+ (cos x) 1) (+ (* (* x 1/2) x) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x)) (- 1 (cos x)) (* x 1/2) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x) (* (+ (* (* x x) 1/720) -1/24) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)))

2.0ms

inf

((+ (cos x) 1) (+ (* (* x 1/2) x) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x)) (- 1 (cos x)) (* x 1/2) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x) (* (+ (* (* x x) 1/720) -1/24) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)))

1.0ms

((+ (cos x) 1) (+ (* (* x 1/2) x) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x)) (- 1 (cos x)) (* x 1/2) (* (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)) x) (* (+ (* (* x x) 1/720) -1/24) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (* x (* (* (+ (* (* x x) 1/720) -1/24) x) x)))

simplify181.0ms (1.7%)

Memory

3.3MiB live, 198.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 660×	`lower-fma.f64`
16 660×	`lower-fma.f32`
2 944×	`lower--.f64`
2 944×	`lower--.f32`
2 680×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	782
1	181	782
2	454	782
3	1166	782
4	2851	782
5	6090	782
0	8482	735

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* 1/720 (pow x 2)) 1/24))
(* x (- (* 1/720 (pow x 2)) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* -1/24 (pow x 3))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1/24 (pow x 4))
(.f64 (.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) x)) x)
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x))
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x))
(* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* -1/24 (pow x 2))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* -1/24 (pow x 3))
(.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) x))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 3) (- (* 1/720 (pow x 2)) 1/24))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 (.f64 x x) x) (.f64 x x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/720 (pow x 6))
(.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 (.f64 x x) x) (.f64 x x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* 1/720 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* 1/720 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* 1/720 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x) x)
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 (.f64 x x) x) (.f64 x x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/720 (pow x 6))
(.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 (.f64 x x) x) (.f64 x x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
(* 1/720 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)
(* 1/720 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* 1/720 (pow x 5))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x) x)
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))

rewrite237.0ms (2.2%)

Memory

-16.5MiB live, 185.5MiB allocated

Rules

7 664×	`lower-fma.f32`
7 660×	`lower-fma.f64`
4 706×	`lower-*.f32`
4 694×	`lower-*.f64`
2 452×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	29	94
1	99	90
2	617	82
3	6460	82
0	8479	82

Stop Event

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

Counts

8 → 242

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x))
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))) (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) x)) x (.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)) (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x))))) (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x))) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))))
(.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))))
(.f64 (.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x))))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x))))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)
(.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) x) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x) x))) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) x) x)))))
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(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))) (*.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64))) (.f64 x x)) (-.f64 #s(literal -1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64))) (.f64 x x)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal -1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/720 binary64) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) x (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/720 binary64) x) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/720 binary64) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 x x) x) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/720 binary64) x) (.f64 (.f64 x x) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/24 binary64) (.f64 x x) (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x))
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/720 binary64) (.f64 x x)) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal -1/24 binary64) (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x))
(fma.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 (*.f64 #s(literal -1/24 binary64) x) x))
(fma.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64)) x))
(+.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x))
(+.f64 (.f64 #s(literal -1/24 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x) (.f64 (.f64 #s(literal -1/24 binary64) x) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) x) (.f64 #s(literal -1/24 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 x x) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))) (.f64 (.f64 x x) x)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) (.f64 x x))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 (.f64 x x) x))
(.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x))
(.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) x) x))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x)) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x) (.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) (.f64 x x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64))) (.f64 (.f64 x x) x)) (-.f64 #s(literal -1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64))) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (.f64 x x))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/13824 binary64)) x) x)) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/518400 binary64) (*.f64 x x)) #s(literal -1/17280 binary64)) #s(literal 1/576 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 x x) (.f64 (.f64 #s(literal -1/24 binary64) x) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 x x) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 (.f64 x x) (*.f64 #s(literal -1/24 binary64) x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/720 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 x x)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64))) (.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x)))
(+.f64 (.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x)) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/720 binary64))))

eval69.0ms (0.6%)

Memory: 10.9MiB live, 84.6MiB allocated
Compiler: Compiled 13 721 to 1 019 computations (92.6% saved)

prune92.0ms (0.9%)

Memory

-18.7MiB live, 78.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	338	8	346

Accuracy

100.0%

Counts

346 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	54.9%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	53.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
✓	99.8%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
✓	4.2%	#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Compiler

Compiled 224 to 95 computations (57.6% saved)

regimes12.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(.f64 (sin.f64 x) #s(approx (tan (/ x 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Outputs
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))

Calls

3 calls:

4.0ms	x
4.0ms	(cos.f64 x)
3.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes35.0ms (0.3%)

Memory

-24.9MiB live, 13.9MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))

Calls

3 calls:

29.0ms	x
3.0ms	(cos.f64 x)
3.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))

Outputs
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))

Calls

3 calls:

3.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.8%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes21.0ms (0.2%)

Memory

-28.2MiB live, 9.3MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

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

Calls

3 calls:

17.0ms	(cos.f64 x)
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.0%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))

Outputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
53.5%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
(+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
4.2%	1	`(cos.f64 x)`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	114
1	59	114
2	63	114
3	65	114
4	66	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

Outputs
#s(approx (- 1 (cos x)) (fma.f64 (.f64 x #s(literal 1/2 binary64)) x (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) x)))
#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))

soundness3.1s (29.1%)

Memory

-32.7MiB live, 783.3MiB allocated

Rules

32 720×	`lower-fma.f64`
32 720×	`lower-fma.f32`
19 536×	`lower-fma.f64`
19 536×	`lower-fma.f32`
16 340×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	144
1	101	144
2	246	144
3	588	144
4	1237	144
5	1916	144
6	2187	144
7	2836	144
8	4071	144
9	5644	144
10	6543	144
11	6823	144
12	6862	144
13	6862	144
14	7274	144
15	7556	144
16	7597	144
17	7599	144
18	7599	144
19	7599	144
20	7599	144
21	7609	144
22	7609	144
23	7609	144
0	8514	132
0	96	1734
1	238	1734
2	603	1734
3	1666	1734
4	4716	1734
0	8008	1593
0	102	1286
1	272	1280
2	689	1280
3	2133	1280
4	4257	1280
5	6593	1280
0	8559	1190
0	24	109
0	38	109
1	129	109
2	770	109
3	6266	106
0	8413	106
0	31	203
0	49	203
1	181	203
2	1228	203
0	8314	203

Stop Event

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

Compiler

Compiled 195 to 96 computations (50.8% saved)

preprocess70.0ms (0.7%)

Memory: 0.7MiB live, 155.6MiB allocated
Remove: (abs x)
Compiler: Compiled 272 to 120 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	24	126
0	38	126
1	61	126
2	89	126
3	126	126
4	153	126
5	176	126
6	198	126
7	221	126
8	226	126
0	226	126

Iter	Nodes	Cost
0	31	223
0	49	223
1	85	223
2	142	223
3	292	223
4	473	223
5	544	223
6	566	223
7	588	223
8	592	223
0	592	223

Iter	Nodes	Cost
0	19	110
0	29	108
1	51	104
2	80	104
3	157	100
4	373	96
5	564	96
6	595	96
7	610	96
8	614	96
0	614	96

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	24	126
0	38	126
1	61	126
2	89	126
3	126	126
4	153	126
5	176	126
6	198	126
7	221	126
8	226	126
0	226	126

Iter	Nodes	Cost
0	31	223
0	49	223
1	85	223
2	142	223
3	292	223
4	473	223
5	544	223
6	566	223
7	588	223
8	592	223
0	592	223

Iter	Nodes	Cost
0	19	110
0	29	108
1	51	104
2	80	104
3	157	100
4	373	96
5	564	96
6	595	96
7	610	96
8	614	96
0	614	96

start0.0ms (0%)

analyze3.0ms (0%)

sample3.6s (33.5%)

explain137.0ms (1.3%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize76.0ms (0.7%)

series1.0ms (0%)

simplify515.0ms (4.9%)

rewrite216.0ms (2%)

eval35.0ms (0.3%)

prune167.0ms (1.6%)

simplify14.0ms (0.1%)

localize123.0ms (1.2%)

series15.0ms (0.1%)

simplify231.0ms (2.2%)

rewrite227.0ms (2.1%)

eval95.0ms (0.9%)

prune178.0ms (1.7%)

simplify24.0ms (0.2%)

localize267.0ms (2.5%)

series13.0ms (0.1%)

simplify187.0ms (1.8%)

rewrite202.0ms (1.9%)

eval156.0ms (1.5%)

prune163.0ms (1.5%)

simplify16.0ms (0.2%)

localize132.0ms (1.2%)

series8.0ms (0.1%)

simplify181.0ms (1.7%)

rewrite237.0ms (2.2%)

eval69.0ms (0.6%)

prune92.0ms (0.9%)

regimes12.0ms (0.1%)

regimes35.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes21.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify7.0ms (0.1%)

soundness3.1s (29.1%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	9
1	16	8
2	35	8
3	55	8
4	87	8
5	101	8
6	107	8
0	4	4
0	6	4
1	10	4
2	14	4
3	19	4
4	25	4
5	33	4
6	43	4
7	54	4
8	57	4
0	57	4

Iter	Nodes	Cost
0	24	126
0	38	126
1	61	126
2	89	126
3	126	126
4	153	126
5	176	126
6	198	126
7	221	126
8	226	126
0	226	126

Iter	Nodes	Cost
0	31	223
0	49	223
1	85	223
2	142	223
3	292	223
4	473	223
5	544	223
6	566	223
7	588	223
8	592	223
0	592	223

Iter	Nodes	Cost
0	19	110
0	29	108
1	51	104
2	80	104
3	157	100
4	373	96
5	564	96
6	595	96
7	610	96
8	614	96
0	614	96