Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.7s (32.4%)

Memory

63.4MiB live, 4 129.1MiB allocated

Samples

2.9s	5 617×	2	valid
513.0ms	2 492×	1	valid
10.0ms	147×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-sin: 2.0s (71.3% of total)

adjust: 258.0ms (9% of total)

ival-div: 208.0ms (7.3% of total)

ival-sub: 192.0ms (6.7% of total)

ival-<=: 76.0ms (2.7% of total)

ival-tan: 59.0ms (2.1% of total)

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

exact: 11.0ms (0.4% of total)

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

Bogosity

explain231.0ms (2%)

Memory

-50.9MiB live, 224.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	1	(5.830594005023565e-108)	0	-	`(-.f64 x (sin.f64 x))`
46	0	-	3	(5.830594005023565e-108)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	101	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	43	0
↳	`(-.f64 x (sin.f64 x))`	underflow	155

Confusion

	Predicted +	Predicted -
+	144	0
-	0	112

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	0	0
-	0	0	112

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	112
1	144

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

160.0ms	322×	2	valid
24.0ms	182×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-sin: 131.0ms (79.6% of total)

ival-div: 11.0ms (6.7% of total)

adjust: 11.0ms (6.7% of total)

ival-sub: 7.0ms (4.3% of total)

ival-tan: 4.0ms (2.4% of total)

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

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

preprocess48.0ms (0.4%)

Memory

-1.6MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Rules

136×	`lower-fma.f64`
136×	`lower-fma.f32`
88×	`lower-*.f64`
88×	`lower-*.f32`
70×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval2.0ms (0%)

Memory: 3.1MiB live, 3.1MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify20.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Rules

136×	`lower-fma.f64`
136×	`lower-fma.f32`
88×	`lower-*.f64`
88×	`lower-*.f32`
70×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize92.0ms (0.8%)

Memory

-39.1MiB live, 88.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	9.43537470161936	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	22.55064106410401	(-.f64 x (sin.f64 x))

Samples

66.0ms	161×	2	valid
11.0ms	91×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sin: 51.0ms (77.2% of total)

adjust: 6.0ms (9.1% of total)

ival-div: 4.0ms (6.1% of total)

ival-sub: 4.0ms (6.1% of total)

ival-tan: 2.0ms (3% of total)

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

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

series4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) (patch (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))) (taylor 0 x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (sin x) x)))) (taylor inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (sin x) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (sin.f64 x)) (patch (-.f64 x (sin.f64 x)) #<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 (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 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 x (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	-inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	0	(tan x)
0.0ms	x	@	inf	(tan x)

simplify218.0ms (1.9%)

Memory

20.6MiB live, 206.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 179×	`lower-fma.f64`
9 179×	`lower-fma.f32`
2 590×	`lower-*.f64`
2 590×	`lower-*.f32`
1 711×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
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))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) x) x #s(literal 1/6 binary64)) x) (.f64 x x))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) x)
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) 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 (.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 17/315 binary64) x) x #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite249.0ms (2.2%)

Memory

11.2MiB live, 325.0MiB allocated

Rules

2 931×	`lower-*.f64`
2 931×	`lower-*.f32`
1 952×	`lower-/.f32`
1 951×	`lower-/.f64`
1 115×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	37	15
2	267	15
3	3099	15
0	9023	15

Stop Event

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

Counts

4 → 481

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.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) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (+.f64 (-.f64 (.f64 x x) #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) (neg.f64 (+.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (neg.f64 (+.f64 (-.f64 (.f64 x x) #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) (neg.f64 (+.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (/.f64 (tan.f64 x) (fma.f64 (neg.f64 x) (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #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 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x)))
(.f64 (/.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x))))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (+.f64 (-.f64 (.f64 x x) #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) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cos.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 x (sin.f64 x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (cos.f64 x) (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (+.f64 (-.f64 (.f64 x x) #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 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (fma.f64 (*.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 x (sin.f64 x)))
(.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x) (*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (sin.f64 x) x)))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) x)) (tan.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (tan.f64 x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (fma.f64 (.f64 x x) x (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 x x) (.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
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eval146.0ms (1.3%)

Memory: -4.0MiB live, 118.8MiB allocated
Compiler: Compiled 12 277 to 1 549 computations (87.4% saved)

prune104.0ms (0.9%)

Memory

13.3MiB live, 168.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	519	6	525
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	6	526

Accuracy

99.9%

Counts

526 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) x)) (tan.f64 x))
▶	84.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 194 to 106 computations (45.4% saved)

simplify217.0ms (1.9%)

Memory

-10.1MiB live, 162.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))

Rules

5 255×	`lower-fma.f32`
5 249×	`lower-fma.f64`
1 652×	`lower-*.f32`
1 640×	`lower-*.f64`
863×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	320
0	60	320
1	104	312
2	183	312
3	348	312
4	694	312
5	1417	312
6	1624	312
7	2284	312
8	5775	312
0	8013	312

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)

localize437.0ms (3.8%)

Memory

20.6MiB live, 530.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (.f64 x x) x)
accuracy	0.140625	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
accuracy	0.6470009021183469	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
accuracy	9.43537470161936	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.11328125	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.1714525467058468	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.3515625	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.11328125	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.35546875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.2265625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.7142180366117059	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.11328125	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
accuracy	0.13671875	(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)
accuracy	0.3515625	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
accuracy	0.49609375	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)

Samples

187.0ms	161×	2	valid
170.0ms	91×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 277 to 35 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 56.0ms (26.5% of total)

ival-sin: 56.0ms (26.5% of total)

const: 49.0ms (23.2% of total)

adjust: 22.0ms (10.4% of total)

ival-add: 13.0ms (6.2% of total)

ival-tan: 6.0ms (2.8% of total)

ival-div: 5.0ms (2.4% of total)

ival-sub: 4.0ms (1.9% of total)

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

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

series171.0ms (1.5%)

Memory

-35.1MiB live, 18.3MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x)) (patch (/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) (patch #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x)))) (taylor inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 8)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor inf x) (#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x)
1.0ms	x	@	0	(* (* (+ (* (* (+ (* (* (+ (* -143/604800 (* x x)) -11/15120) x) x) -23/360) x) x) 1/6) x) x)
1.0ms	x	@	inf	(* (* (+ (* (* (+ (* (* (+ (* -143/604800 (* x x)) -11/15120) x) x) -23/360) x) x) 1/6) x) x)
0.0ms	x	@	inf	(* (* (+ (* -23/360 (* x x)) 1/6) x) x)
0.0ms	x	@	0	(* (* (* x x) x) 1/6)

simplify238.0ms (2.1%)

Memory

-10.4MiB live, 184.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 787×	`lower-fma.f64`
5 787×	`lower-fma.f32`
2 322×	`lower-*.f64`
2 322×	`lower-*.f32`
1 295×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2492
1	489	2456
2	1620	2432
3	4905	2316
0	8176	2210

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
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(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
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(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -143/604800 (pow x 8))
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(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
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(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
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(* -143/604800 (pow x 8))
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(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
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(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
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(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
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(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
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(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (*.f64 x x) x) x))) #s(literal 143/604800 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
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(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
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1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ (* x (cos x)) (sin x))
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(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
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(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
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(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
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(* -23/360 (pow x 3))
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1/6
#s(literal 1/6 binary64)
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(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
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(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
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(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)

rewrite277.0ms (2.4%)

Memory

41.9MiB live, 271.6MiB allocated

Rules

2 354×	`lower-/.f32`
2 353×	`lower-/.f64`
2 234×	`lower-*.f32`
2 222×	`lower-*.f64`
1 827×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	267
0	60	259
1	205	259
2	1311	259
0	8262	259

Stop Event

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

Counts

21 → 403

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64)) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal -1/6 binary64))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)) (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x))) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)) (.f64 #s(literal 1/6 binary64) x)))
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eval144.0ms (1.3%)

Memory: -9.7MiB live, 148.0MiB allocated
Compiler: Compiled 22 394 to 1 898 computations (91.5% saved)

prune223.0ms (1.9%)

Memory

-21.2MiB live, 204.4MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	733	10	743
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	735	14	749

Accuracy

100.0%

Counts

749 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/362880 binary64) x) x #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
▶	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	31.3%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))

Compiler

Compiled 468 to 251 computations (46.4% saved)

simplify216.0ms (1.9%)

Memory

-5.0MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
cost-diff	0	#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
cost-diff	1152	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))

Rules

2 651×	`lower-fma.f32`
2 645×	`lower-fma.f64`
1 711×	`lower-*.f32`
1 696×	`lower-*.f64`
1 151×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	482
0	90	476
1	160	450
2	278	430
3	598	430
4	1156	430
5	2452	428
6	3032	428
7	3865	428
8	7409	428
0	8922	421

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64))) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64))) x)
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) x) x)
(*.f64 x x)
x
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize568.0ms (4.9%)

Memory

7.9MiB live, 483.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy	0.26304628907376804	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
accuracy	0.5078125	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.08203125	(.f64 (.f64 x x) x)
accuracy	0.17578125	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
accuracy	43.08304556738776	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.11328125	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy	0.11328125	(.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.1714525467058468	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.3515625	(.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7149030796074504	#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.13671875	(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
accuracy	0.16015625	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
accuracy	0.3515625	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.49609375	(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)

Samples

356.0ms	161×	2	valid
94.0ms	91×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 381 to 54 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-mult: 119.0ms (34.7% of total)

const: 58.0ms (16.9% of total)

ival-sin: 51.0ms (14.9% of total)

ival-add: 44.0ms (12.8% of total)

ival-div: 33.0ms (9.6% of total)

adjust: 30.0ms (8.8% of total)

ival-sub: 6.0ms (1.8% of total)

ival-tan: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

0.5MiB live, 39.1MiB allocated

Counts

28 → 336

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (patch (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x)))) (patch #s(approx (/ (- x (sin x)) (tan x)) #s(approx ( (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (patch #s(approx ( (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (patch (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -23/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -23/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -23/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 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 (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 (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ (* (* (* x x) (* x x)) 529/129600) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6))
1.0ms	x	@	0	(/ (* (+ (* (* (* x x) (* x x)) 529/129600) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6))
0.0ms	x	@	inf	(* (+ (* (* (* x x) (* x x)) 529/129600) -1/36) (* x x))
0.0ms	x	@	-inf	(* -23/360 x)
0.0ms	x	@	0	(* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x))

simplify317.0ms (2.8%)

Memory

17.8MiB live, 259.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 259×	`lower-fma.f64`
8 259×	`lower-fma.f32`
2 507×	`lower-*.f64`
2 507×	`lower-*.f32`
1 661×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	3162
1	533	3132
2	1709	3100
3	4592	3010
0	8356	2883

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
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(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)

rewrite265.0ms (2.3%)

Memory

2.8MiB live, 314.8MiB allocated

Rules

2 600×	`lower-fma.f32`
2 594×	`lower-fma.f64`
2 242×	`lower-*.f32`
2 227×	`lower-*.f64`
2 118×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	417
0	90	384
1	331	364
2	2147	364
0	8104	349

Stop Event

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

Counts

28 → 606

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 #s(literal -23/360 binary64) x)

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)))))))
(.f64 x (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64)))))) (neg.f64 (neg.f64 (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64)))) (.f64 (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 x x)))) (.f64 (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 x (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64)))))
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(+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 (*.f64 (/.f64 x #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal 1/6 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1/6 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -23/360 binary64))

eval398.0ms (3.5%)

Memory: 13.0MiB live, 241.8MiB allocated
Compiler: Compiled 28 627 to 2 311 computations (91.9% saved)

prune450.0ms (3.9%)

Memory

-7.3MiB live, 362.7MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 053	9	1 062
Fresh	4	1	5
Picked	3	2	5
Done	0	4	4
Total	1 060	16	1 076

Accuracy

100.0%

Counts

1 076 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/362880 binary64) x) x #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
▶	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
▶	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	30.8%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))

Compiler

Compiled 458 to 257 computations (43.9% saved)

simplify171.0ms (1.5%)

Memory

-31.1MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 529/129600 binary64) (.f64 x x))
cost-diff	0	(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))
cost-diff	0	#s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
cost-diff	640	(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x))

Rules

2 731×	`lower-fma.f32`
2 725×	`lower-fma.f64`
1 216×	`lower-*.f32`
1 202×	`lower-*.f64`
1 041×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	465
0	84	455
1	147	434
2	254	416
3	566	416
4	1299	416
5	2721	416
6	3245	416
7	4010	416
8	7820	416
0	8541	409

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) x)
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))
x
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
#s(literal 1 binary64)
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
#s(literal 529/129600 binary64)
(*.f64 x x)
x
#s(literal -1/36 binary64)
(.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)
(.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x))
(.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 #s(literal -143/604800 binary64) x)
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
x
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(literal 1 binary64)
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (.f64 x x)))
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64)) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (.f64 x x))
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 529/129600 binary64) x) x)
#s(literal 529/129600 binary64)
(*.f64 x x)
x
#s(literal -1/36 binary64)
(.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize490.0ms (4.3%)

Memory

28.9MiB live, 697.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f64 #s(literal 529/129600 binary64) (.f64 x x))
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
accuracy	0.43359375	(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
accuracy	0.5078125	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
accuracy	0.35546875	(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
accuracy	0.5078125	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0.26304628907376804	(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
accuracy	0.44836826952884057	#s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))
accuracy	0.5078125	(*.f64 #s(literal -23/360 binary64) x)
accuracy	0	(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.11328125	(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy	0.36365613493203935	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy	0.7188960739033085	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.109375	(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x))
accuracy	0.13671875	(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
accuracy	0.18359375	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x))
accuracy	0.3515625	(*.f64 #s(literal 1/6 binary64) x)

Samples

268.0ms	141×	2	valid
87.0ms	91×	1	valid
42.0ms	20×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 377 to 52 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 91.0ms (28.9% of total)

const: 60.0ms (19% of total)

ival-sin: 56.0ms (17.8% of total)

ival-add: 45.0ms (14.3% of total)

adjust: 29.0ms (9.2% of total)

ival-div: 29.0ms (9.2% of total)

ival-sub: 4.0ms (1.3% of total)

ival-tan: 2.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

12.3MiB live, 48.5MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) (patch (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (patch (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (patch #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) (patch (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (patch (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) (patch (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)) #<representation binary64>) () ())) ())
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#s(alt (* 529/129600 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (patch (.f64 #s(literal 529/129600 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 7)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 7)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -143/604800 (pow x 2)) 11/15120)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 3)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) (patch (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 #s(literal -23/360 binary64) x) (patch (.f64 #s(literal -23/360 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -6 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 23/10 (pow x 2)) 6)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6)) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -360/23 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -360/23 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1 (* (+ (* (* -23/360 x) x) 1/6) x))
0.0ms	x	@	inf	(* 529/129600 (* x x))
0.0ms	x	@	inf	(+ (* (* 1/6 x) x) (* (* (+ (* (* (+ (* (* -143/604800 x) x) -11/15120) x) x) -23/360) (* (* x x) x)) x))
0.0ms	x	@	inf	(/ x (+ (* (* -23/360 x) x) -1/6))
0.0ms	x	@	-inf	(/ x (+ (* (* -23/360 x) x) -1/6))

simplify307.0ms (2.7%)

Memory

-27.9MiB live, 268.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 160×	`lower-fma.f64`
6 160×	`lower-fma.f32`
2 211×	`lower-*.f64`
2 211×	`lower-*.f32`
1 772×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	2824
1	549	2790
2	1616	2766
3	4243	2676
0	8172	2552

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) x)
(/ -360/23 (pow x 3))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 3))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 3))
(/ -360/23 (pow x 3))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (/ 1296000/12167 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 360/23 (+ (* 21600/529 (/ 1 (pow x 2))) (+ (* 77760000/279841 (/ 1 (pow x 6))) (/ 1296000/12167 (pow x 4))))) (pow x 3)))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ -360/23 x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 (/.f64 #s(literal -11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
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(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 23/10 (pow x 2)) 6))
(.f64 (fma.f64 (.f64 #s(literal 23/10 binary64) x) x #s(literal -6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) x) x #s(literal -6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal -529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal -6 binary64)) x)
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -1296000/12167 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 21600/529 binary64) (.f64 x x)))) x)
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1296000/12167 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 21600/529 binary64) (.f64 x x)))) x)

rewrite260.0ms (2.3%)

Memory

10.6MiB live, 324.3MiB allocated

Rules

3 038×	`lower-fma.f32`
3 032×	`lower-fma.f64`
2 404×	`lower-/.f32`
2 399×	`lower-/.f64`
2 141×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	377
0	84	336
1	314	314
2	1782	314
0	8614	309

Stop Event

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

Counts

24 → 656

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (.f64 x x) x)) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x))
(.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x)
(*.f64 #s(literal -23/360 binary64) x)
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))

Outputs
(.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))) x) x) (/.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) x) x) (neg.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))) x) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))))))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))) x)
(.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))) x) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 x x))) x (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (*.f64 x x) x) x))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x) x))))
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(fma.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)))
(fma.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (.f64 x x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) x)))
(+.f64 (.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (*.f64 x x) x)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)) (.f64 (.f64 (*.f64 x x) x) #s(literal -23/360 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)))
(.f64 (.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))))
(.f64 (.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(.f64 (.f64 x (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x)) (.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 #s(literal -11/15120 binary64) x))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 #s(literal -11/15120 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 #s(literal -11/15120 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x))) (-.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x #s(literal -11/15120 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))) (-.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -11/15120 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 #s(literal -11/15120 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 #s(literal -11/15120 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -11/15120 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 #s(literal -11/15120 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x)) (.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal -11/15120 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x #s(literal -11/15120 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -11/15120 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)) x)) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)) x) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 (.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) (.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -121/228614400 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))) (.f64 (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) (.f64 x (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -121/228614400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))) (.f64 x (fma.f64 #s(literal -2924207/221225582592000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) #s(literal -1331/3456649728000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x (*.f64 #s(literal -11/15120 binary64) x))
(fma.f64 #s(literal -11/15120 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 x #s(literal -11/15120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x) (.f64 #s(literal -11/15120 binary64) x))
(+.f64 (.f64 #s(literal -11/15120 binary64) x) (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) x))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))) (.f64 x #s(literal -11/15120 binary64)))
(+.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal -143/604800 binary64))))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -23/360 binary64))
(/.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 23/2160 binary64)))))))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/216 binary64))) (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 23/2160 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x))))
(.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal -23/360 binary64) x) x))))
(.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x))
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -23/360 binary64) x) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))

eval141.0ms (1.2%)

Memory: -3.7MiB live, 184.6MiB allocated
Compiler: Compiled 30 424 to 1 920 computations (93.7% saved)

prune179.0ms (1.6%)

Memory

-4.6MiB live, 278.3MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	970	4	974
Fresh	3	2	5
Picked	3	2	5
Done	0	6	6
Total	976	14	990

Accuracy

100.0%

Counts

990 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/362880 binary64) x) x #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 698 to 248 computations (64.5% saved)

regimes15.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/362880 binary64) x) x #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) x) x #s(literal 1/6 binary64)) x) (.f64 x x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) #s(literal -1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) x)) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 (*.f64 x x) x)) x)))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes16.0ms (0.1%)

Memory

-16.2MiB live, 20.4MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

Calls

2 calls:

10.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes15.0ms (0.1%)

Memory

-0.2MiB live, 34.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes10.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

5.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) #s(approx (+ ( (* (* x x) (* x x)) 529/129600) -1/36) #s(literal -1/36 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-40.2MiB live, 5.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

6.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	194
1	90	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) x)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

soundness984.0ms (8.5%)

Memory

-17.0MiB live, 628.2MiB allocated

Rules

9 179×	`lower-fma.f64`
9 179×	`lower-fma.f32`
8 259×	`lower-fma.f64`
8 259×	`lower-fma.f32`
5 787×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318
0	183	3162
1	533	3132
2	1709	3100
3	4592	3010
0	8356	2883
0	34	267
0	60	259
1	205	259
2	1311	259
0	8262	259
0	159	2492
1	489	2456
2	1620	2432
3	4905	2316
0	8176	2210
0	56	417
0	90	384
1	331	364
2	2147	364
0	8104	349

Stop Event

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

Compiler

Compiled 274 to 135 computations (50.7% saved)

preprocess72.0ms (0.6%)

Memory: -2.1MiB live, 72.4MiB allocated
Remove: (abs x)
Compiler: Compiled 366 to 160 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

start0.0ms (0%)

analyze2.0ms (0%)

sample3.7s (32.4%)

explain231.0ms (2%)

preprocess48.0ms (0.4%)

eval2.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize92.0ms (0.8%)

series4.0ms (0%)

simplify218.0ms (1.9%)

rewrite249.0ms (2.2%)

eval146.0ms (1.3%)

prune104.0ms (0.9%)

simplify217.0ms (1.9%)

localize437.0ms (3.8%)

series171.0ms (1.5%)

simplify238.0ms (2.1%)

rewrite277.0ms (2.4%)

eval144.0ms (1.3%)

prune223.0ms (1.9%)

simplify216.0ms (1.9%)

localize568.0ms (4.9%)

series46.0ms (0.4%)

simplify317.0ms (2.8%)

rewrite265.0ms (2.3%)

eval398.0ms (3.5%)

prune450.0ms (3.9%)

simplify171.0ms (1.5%)

localize490.0ms (4.3%)

series20.0ms (0.2%)

simplify307.0ms (2.7%)

rewrite260.0ms (2.3%)

eval141.0ms (1.2%)

prune179.0ms (1.6%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness984.0ms (8.5%)

preprocess72.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16