Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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)

sample3.9s (31.1%)

Memory

-78.7MiB live, 4 366.9MiB allocated

Samples

3.2s	5 674×	2	valid
385.0ms	2 437×	1	valid
10.0ms	145×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-sin: 2.3s (72.7% of total)

adjust: 262.0ms (8.2% of total)

ival-sub: 252.0ms (7.8% of total)

ival-div: 228.0ms (7.1% of total)

ival-tan: 61.0ms (1.9% of total)

ival-<=: 47.0ms (1.5% of total)

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

exact: 11.0ms (0.3% of total)

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

Bogosity

explain272.0ms (2.2%)

Memory

13.3MiB live, 359.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
84	-	0	-	`(-.f64 x (sin.f64 x))`
50	-	5	(4.636689631690238e-106)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	-	0	-	`(tan.f64 x)`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	84	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	45	0
↳	`(-.f64 x (sin.f64 x))`	underflow	172

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

184.0ms	360×	2	valid
22.0ms	142×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-sin: 151.0ms (81.3% of total)

adjust: 12.0ms (6.5% of total)

ival-div: 11.0ms (5.9% of total)

ival-sub: 7.0ms (3.8% of total)

ival-tan: 4.0ms (2.2% of total)

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

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

preprocess134.0ms (1.1%)

Memory

2.0MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`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)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify29.0ms (0.2%)

Memory

-10.4MiB live, 32.7MiB 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

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`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)

localize122.0ms (1%)

Memory

23.0MiB live, 133.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	10.025104615257781	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	18.38375541330409	(-.f64 x (sin.f64 x))

Samples

70.0ms	180×	2	valid
44.0ms	71×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-sin: 83.0ms (81.9% of total)

adjust: 6.0ms (5.9% of total)

ival-sub: 6.0ms (5.9% of total)

ival-div: 4.0ms (3.9% of total)

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

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

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

series4.0ms (0%)

Memory

8.2MiB live, 8.2MiB 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))
0.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	inf	(tan x)
0.0ms	x	@	-inf	(tan x)

simplify294.0ms (2.3%)

Memory

-15.3MiB live, 358.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 422×	`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 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (cos.f64 x)) (sin.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 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
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))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 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 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 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))

rewrite298.0ms (2.4%)

Memory

-11.2MiB live, 413.7MiB allocated

Rules

5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
3 904×	`lower-/.f32`
3 902×	`lower-/.f64`
2 230×	`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 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (tan.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))
(-.f64 (/.f64 (.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 (tan.f64 x)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (tan.f64 x))))
(/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (+.f64 x (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) (neg.f64 (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 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (tan.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 (tan.f64 x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (tan.f64 x) (neg.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (neg.f64 (tan.f64 x)) (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (.f64 (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (.f64 (tan.f64 x) (+.f64 x (sin.f64 x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))))
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(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (.f64 (+.f64 x (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (+.f64 x (sin.f64 x)) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 x (sin.f64 x)))) (.f64 (+.f64 x (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x)))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (.f64 (/.f64 (+.f64 x (sin.f64 x)) (.f64 x x)) (neg.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 x (sin.f64 x))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) #s(literal 1 binary64))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) (.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (+.f64 x (sin.f64 x)))) (.f64 (neg.f64 (+.f64 x (sin.f64 x))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (neg.f64 (+.f64 x (sin.f64 x)))))
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(.f64 (+.f64 x (sin.f64 x)) (.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (-.f64 (sin.f64 x) x))
(.f64 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x (.f64 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 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 x (sin.f64 x)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (tan.f64 x))))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))

eval106.0ms (0.8%)

Memory: 11.9MiB live, 99.8MiB allocated
Compiler: Compiled 12 277 to 1 550 computations (87.4% saved)

prune78.0ms (0.6%)

Memory

-9.2MiB live, 188.1MiB 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
	84.0%	(/.f64 #s(approx (- x (sin x)) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) (tan.f64 x))
▶	83.4%	(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 174 to 100 computations (42.5% saved)

simplify329.0ms (2.6%)

Memory

28.6MiB live, 220.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

12 016×	`lower-fma.f32`
12 004×	`lower-fma.f64`
4 766×	`lower-*.f32`
4 742×	`lower-*.f64`
1 990×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	320
0	60	312
1	134	312
2	319	312
3	612	312
4	1076	312
5	1870	312
6	2044	312
7	2727	312
8	6695	312
0	8090	312

Stop Event

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

Calls

Call 1

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

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

localize506.0ms (4%)

Memory

-10.5MiB live, 398.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(.f64 x (.f64 x x))
accuracy	0.1171875	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
accuracy	0.535992571588684	#s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
accuracy	10.025104615257781	(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
accuracy	0.09544921774161316	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
accuracy	0.125	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy	0.3046875	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.12890625	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
accuracy	0.3125	(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.203125	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.6282736474151336	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0.12890625	(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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))))
accuracy	0.140625	(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
accuracy	0.3046875	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))
accuracy	0.46875	(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))

Samples

359.0ms	180×	2	valid
52.0ms	71×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 277 to 35 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

const: 197.0ms (54.9% of total)

ival-mult: 59.0ms (16.4% of total)

ival-sin: 58.0ms (16.2% of total)

adjust: 22.0ms (6.1% of total)

ival-add: 12.0ms (3.3% of total)

ival-div: 5.0ms (1.4% of total)

ival-sub: 4.0ms (1.1% of total)

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

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

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

series28.0ms (0.2%)

Memory

-17.8MiB live, 57.7MiB allocated

Counts

22 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* x x)
1.0ms	x	@	inf	(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))
1.0ms	x	@	0	(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
1.0ms	x	@	inf	(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
0.0ms	x	@	inf	(* x (* x (+ (* (* x x) -23/360) 1/6)))

simplify293.0ms (2.3%)

Memory

8.3MiB live, 328.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 318×	`lower-fma.f64`
12 318×	`lower-fma.f32`
4 974×	`lower-*.f64`
4 974×	`lower-*.f32`
2 674×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2566
1	502	2530
2	1695	2506
3	5158	2390
0	8220	2275

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

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))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
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#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))

rewrite357.0ms (2.8%)

Memory

-0.3MiB live, 467.0MiB allocated

Rules

5 086×	`lower-*.f32`
5 062×	`lower-*.f64`
4 696×	`lower-/.f32`
4 694×	`lower-/.f64`
3 700×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	273
0	60	265
1	233	265
2	1628	265
0	8350	265

Stop Event

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

Counts

22 → 518

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (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 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.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)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.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))) (.f64 x x)))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 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 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.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)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 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)))) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.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))) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.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)))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.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))) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x x) (.f64 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 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.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)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.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))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.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))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.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)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.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))) (*.f64 x x)))
(fma.f64 (.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))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.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)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.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))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 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)))) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 1/36 binary64)) (.f64 (.f64 x x) (.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)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.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))) (.f64 (.f64 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 x x) (.f64 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 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.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))) (.f64 (.f64 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 x x) (.f64 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 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 1/36 binary64)) (.f64 (.f64 x x) (.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)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 -1/36 binary64))) (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 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.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))) (.f64 (.f64 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 x x) (.f64 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 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 1/36 binary64)) (.f64 (.f64 x x) (.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)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.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)) (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 -1/36 binary64)))) (neg.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 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.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 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.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)))) (.f64 (.f64 x x) (.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))))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.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))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.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))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.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))) (.f64 x x)) (.f64 (.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))) (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.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))) (.f64 x x))))))
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eval135.0ms (1.1%)

Memory: 19.5MiB live, 234.7MiB allocated
Compiler: Compiled 27 528 to 2 269 computations (91.8% saved)

prune176.0ms (1.4%)

Memory

-6.5MiB live, 348.1MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	857	13	870
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	859	17	876

Accuracy

100.0%

Counts

876 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (- x (sin x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
	99.4%	#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)))
▶	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	25.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))

Compiler

Compiled 668 to 327 computations (51% saved)

simplify250.0ms (2%)

Memory

16.1MiB live, 254.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
cost-diff	768	(-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -23/360 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	640	(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Rules

6 552×	`lower-fma.f32`
6 538×	`lower-fma.f64`
4 280×	`lower-*.f32`
4 252×	`lower-*.f64`
1 438×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	426
0	74	380
1	163	340
2	393	340
3	752	340
4	983	340
5	1692	340
6	2349	340
7	4348	340
8	6698	340
0	8354	329

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(*.f64 x x)
x
(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))
(*.f64 x x)
x
(fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64))) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))
(.f64 (.f64 x x) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64))) #s(literal 1/36 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64))))
(*.f64 x x)
x
(fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))
(fma.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
#s(literal -12167/46656000 binary64)
#s(literal 1/216 binary64)
(-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 529/129600 binary64)) #s(literal 23/2160 binary64))) #s(literal 1/36 binary64))
(fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))
#s(literal 529/129600 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 1/36 binary64)
(.f64 (.f64 x x) #s(literal -23/2160 binary64))
#s(literal -23/2160 binary64)

localize939.0ms (7.4%)

Memory

1.6MiB live, 433.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f64 (.f64 x x) #s(literal -23/2160 binary64))
accuracy	0.1640625	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
accuracy	0.23869751148611282	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))
accuracy	0.15234375	(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
accuracy	0.21550751953688405	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
accuracy	0.46875	(*.f64 x #s(literal -23/360 binary64))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.23828125	(.f64 (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.13671875	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.30859375	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.6282736474151336	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.09544921774161316	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.10775375976844201	(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))
accuracy	0.203125	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.47265625	(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))

Samples

400.0ms	180×	2	valid
211.0ms	71×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

adjust: 188.0ms (39.5% of total)

ival-sin: 165.0ms (34.7% of total)

ival-mult: 46.0ms (9.7% of total)

const: 43.0ms (9% of total)

ival-add: 14.0ms (2.9% of total)

ival-div: 11.0ms (2.3% of total)

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

ival-tan: 2.0ms (0.4% of total)

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

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

series61.0ms (0.5%)

Memory

-10.5MiB live, 26.6MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (patch (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 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 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -23/360 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/360 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (patch (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))) (patch (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) (patch (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 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 #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<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)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6)))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6)))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6)))) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12167/46656000 (pow x 8)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -12167/46656000 (pow x 8)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor -inf x) (#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 (* 1/6 (pow x 2)) (taylor -inf x) (#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 (* 1/6 (pow x 2)) (taylor -inf x) (#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 (* 1/6 (pow x 2)) (taylor -inf x) (#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 (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/2160 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal -23/2160 binary64)) (patch (.f64 (.f64 x x) #s(literal -23/2160 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(/ (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (- (+ (* 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)))
2.0ms	x	@	0	(* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216))
1.0ms	x	@	inf	(/ (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (+ (* x (* x -23/360)) -1/6))
1.0ms	x	@	0	(/ (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (- (+ (* 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)))
1.0ms	x	@	inf	(* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216))

simplify477.0ms (3.8%)

Memory

-5.6MiB live, 402.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 712×	`lower-fma.f64`
18 712×	`lower-fma.f32`
4 368×	`lower-*.f64`
4 368×	`lower-*.f32`
2 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	2136
1	299	2106
2	802	2104
3	1868	2014
4	3739	2014
5	7102	2014
0	8398	1903

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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) (- (* -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 (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))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* -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 (* (pow x 5) (+ 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 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (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))
(* 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 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 (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))))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (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
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 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))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (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))
(* -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)
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))
(* -23/2160 (pow x 2))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -11/15120 (pow x 6))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* -11/15120 (pow x 6))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (cos.f64 x)) (sin.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)))
(* -23/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -11/15120 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -11/15120 (pow x 5))
(.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x x)))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.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)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (cos.f64 x)) (sin.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 #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))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
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(.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))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(* -23/2160 (pow x 2))
(.f64 x (.f64 x #s(literal -23/2160 binary64)))

rewrite564.0ms (4.5%)

Memory

1.1MiB live, 406.6MiB allocated

Rules

7 838×	`lower-fma.f32`
7 824×	`lower-fma.f64`
4 996×	`lower-*.f32`
4 968×	`lower-*.f64`
4 408×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	320
0	74	280
1	298	249
2	2236	249
0	8978	237

Stop Event

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

Counts

21 → 501

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64))))) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/6 binary64)))))
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(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64))) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -23/360 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))))) (neg.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal -23/360 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) x)) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/228614400 binary64) #s(literal -529/129600 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))))) (fma.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64)) (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -11/15120 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 #s(literal -11/15120 binary64) (.f64 x (*.f64 x x)))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(.f64 x (.f64 x #s(literal -23/2160 binary64)))
(.f64 (.f64 x x) #s(literal -23/2160 binary64))
(.f64 #s(literal -23/2160 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -23/2160 binary64)) x)

eval193.0ms (1.5%)

Memory: 8.3MiB live, 209.6MiB allocated
Compiler: Compiled 35 545 to 1 544 computations (95.7% saved)

prune302.0ms (2.4%)

Memory

2.5MiB live, 242.8MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 029	6	1 035
Fresh	4	4	8
Picked	2	3	5
Done	0	4	4
Total	1 035	17	1 052

Accuracy

100.0%

Counts

1 052 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #s(approx (- (+ ( 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)) #s(literal 1/36 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (.f64 x (.f64 x #s(literal 1/216 binary64)))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
▶	99.4%	#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)))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	25.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))

Compiler

Compiled 512 to 264 computations (48.4% saved)

simplify261.0ms (2.1%)

Memory

1.8MiB live, 349.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
cost-diff	0	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
cost-diff	0	(.f64 x (.f64 x #s(literal -1/36 binary64)))
cost-diff	0	#s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
cost-diff	0	(/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#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)))
cost-diff	0	(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
cost-diff	1088	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
cost-diff	3712	(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))

Rules

6 042×	`lower-fma.f32`
6 032×	`lower-fma.f64`
4 152×	`lower-*.f32`
4 126×	`lower-*.f64`
2 346×	`lower--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	499
0	77	611
1	164	541
2	340	487
3	748	389
4	2060	389
5	3215	389
6	4404	389
7	6446	389
0	8169	389

Stop Event

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

Calls

Call 1

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

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

localize445.0ms (3.5%)

Memory

-9.1MiB live, 629.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
accuracy	0.38671875	(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
accuracy	0.390625	(.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x)
accuracy	0.46875	(*.f64 x #s(literal -23/360 binary64))
accuracy	0.18865747078025916	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))))
accuracy	0.3125	(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy	0.46875	(*.f64 x #s(literal -23/360 binary64))
accuracy	0.5802589385596978	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
accuracy	0.21550751953688405	(/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
accuracy	0.22762454580517008	#s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
accuracy	0.39453125	(*.f64 x #s(literal -1/36 binary64))
accuracy	0.46875	(*.f64 x #s(literal -23/360 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.1875	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.18865747078025916	#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)))
accuracy	0.2578125	(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy	0.26171875	(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
accuracy	0.390625	(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
accuracy	0.46875	(*.f64 x #s(literal -23/360 binary64))

Samples

258.0ms	163×	2	valid
67.0ms	65×	1	valid
28.0ms	15×	4	valid
10.0ms	8×	3	valid
3.0ms	5×	0	valid

Compiler

Compiled 406 to 43 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-sin: 99.0ms (33.4% of total)

ival-div: 52.0ms (17.5% of total)

ival-mult: 50.0ms (16.9% of total)

const: 49.0ms (16.5% of total)

adjust: 29.0ms (9.8% of total)

ival-add: 11.0ms (3.7% of total)

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

ival-tan: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-2.0MiB live, 46.0MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (patch (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/216 x) (taylor 0 x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 23/12960 (pow x 2)) 1/216)) (taylor 0 x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 23/12960 (* 529/777600 (pow x 2)))) 1/216)) (taylor 0 x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 23/12960 (* (pow x 2) (+ 529/777600 (* -12167/46656000 (pow x 2)))))) 1/216)) (taylor 0 x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -12167/46656000 (pow x 7)) (taylor inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (* 529/777600 (/ 1 (pow x 2))) 12167/46656000)) (taylor inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) 12167/46656000)) (taylor inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -12167/46656000 (pow x 7)) (taylor -inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- 12167/46656000 (* 529/777600 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -23/360 binary64)) (patch (.f64 x #s(literal -23/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 529/129600 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 529/129600 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 529/129600 (pow x 4)) 1/36)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 5)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 5)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor 0 x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/36 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -1/36 binary64)) (patch (.f64 x #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 3)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 3)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())

Calls

72 calls:

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

simplify283.0ms (2.2%)

Memory

19.8MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 970×	`lower-fma.f64`
11 970×	`lower-fma.f32`
4 948×	`lower-*.f64`
4 948×	`lower-*.f32`
3 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	2680
1	575	2649
2	1563	2640
3	3966	2548
0	8599	2446

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 (* -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))
(* -1/216 x)
(* x (- (* 23/12960 (pow x 2)) 1/216))
(* x (- (* (pow x 2) (+ 23/12960 (* 529/777600 (pow x 2)))) 1/216))
(* x (- (* (pow x 2) (+ 23/12960 (* (pow x 2) (+ 529/777600 (* -12167/46656000 (pow x 2)))))) 1/216))
(* -12167/46656000 (pow x 7))
(* (pow x 7) (- (* 529/777600 (/ 1 (pow x 2))) 12167/46656000))
(* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) 12167/46656000))
(* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(* -12167/46656000 (pow x 7))
(* -1 (* (pow x 7) (- 12167/46656000 (* 529/777600 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 12167/46656000 (* -1 (/ (+ 529/777600 (* 23/12960 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))) (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 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))))
(* -36 x)
(* x (- (* -529/100 (pow x 4)) 36))
(* x (- (* (pow x 4) (- (* -279841/360000 (pow x 4)) 529/100)) 36))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -148035889/1296000000 (pow x 4)) 279841/360000)) 529/100)) 36))
(/ 129600/529 (pow x 3))
(/ (+ 129600/529 (* 466560000/279841 (/ 1 (pow x 4)))) (pow x 3))
(/ (+ 129600/529 (+ (* 466560000/279841 (/ 1 (pow x 4))) (/ 1679616000000/148035889 (pow x 8)))) (pow x 3))
(/ (+ 129600/529 (+ (* 466560000/279841 (/ 1 (pow x 4))) (+ (* 6046617600000000/78310985281 (/ 1 (pow x 12))) (/ 1679616000000/148035889 (pow x 8))))) (pow x 3))
(/ 129600/529 (pow x 3))
(/ (+ 129600/529 (* 466560000/279841 (/ 1 (pow x 4)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 466560000/279841 (* 1679616000000/148035889 (/ 1 (pow x 4)))) (pow x 4))) 129600/529) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 1679616000000/148035889 (* 6046617600000000/78310985281 (/ 1 (pow x 4)))) (pow x 8))) (+ 129600/529 (* 466560000/279841 (/ 1 (pow x 4))))) (pow x 3)))
(* 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
(+ 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))
(* (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 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (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))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (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))))
(* 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))))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -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)
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* 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))))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1/216 x)
(*.f64 x #s(literal -1/216 binary64))
(* x (- (* 23/12960 (pow x 2)) 1/216))
(.f64 x (fma.f64 (.f64 x x) #s(literal 23/12960 binary64) #s(literal -1/216 binary64)))
(* x (- (* (pow x 2) (+ 23/12960 (* 529/777600 (pow x 2)))) 1/216))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 529/777600 binary64) #s(literal 23/12960 binary64)) #s(literal -1/216 binary64)))
(* x (- (* (pow x 2) (+ 23/12960 (* (pow x 2) (+ 529/777600 (* -12167/46656000 (pow x 2)))))) 1/216))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -12167/46656000 binary64) #s(literal 529/777600 binary64)) #s(literal 23/12960 binary64)) #s(literal -1/216 binary64)))
(* -12167/46656000 (pow x 7))
(*.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 529/777600 (/ 1 (pow x 2))) 12167/46656000))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 529/777600 binary64) (.f64 x x))))
(* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) 12167/46656000))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (+.f64 (/.f64 #s(literal 529/777600 binary64) (.f64 x x)) (/.f64 #s(literal 23/12960 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))) (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 529/777600 binary64) (.f64 x x)) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 12167/46656000 binary64) (/.f64 #s(literal -23/12960 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -12167/46656000 (pow x 7))
(*.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 12167/46656000 (* 529/777600 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 529/777600 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 12167/46656000 (* -1 (/ (+ 529/777600 (* 23/12960 (/ 1 (pow x 2)))) (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 (+.f64 #s(literal 529/777600 binary64) (/.f64 #s(literal 23/12960 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (+ 12167/46656000 (* 1/216 (/ 1 (pow x 6)))) (+ (/ 23/12960 (pow x 4)) (* 529/777600 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 529/777600 binary64) (.f64 x x)) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 12167/46656000 binary64) (/.f64 #s(literal -23/12960 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (cos.f64 x)) (sin.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)))
(* -36 x)
(*.f64 x #s(literal -36 binary64))
(* x (- (* -529/100 (pow x 4)) 36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/100 binary64) #s(literal -36 binary64)))
(* x (- (* (pow x 4) (- (* -279841/360000 (pow x 4)) 529/100)) 36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -279841/360000 binary64) #s(literal -529/100 binary64)) #s(literal -36 binary64)))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -148035889/1296000000 (pow x 4)) 279841/360000)) 529/100)) 36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -148035889/1296000000 binary64) #s(literal -279841/360000 binary64)) #s(literal -529/100 binary64)) #s(literal -36 binary64)))
(/ 129600/529 (pow x 3))
(/.f64 #s(literal 129600/529 binary64) (.f64 x (.f64 x x)))
(/ (+ 129600/529 (* 466560000/279841 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 129600/529 binary64) (/.f64 #s(literal 466560000/279841 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ (+ 129600/529 (+ (* 466560000/279841 (/ 1 (pow x 4))) (/ 1679616000000/148035889 (pow x 8)))) (pow x 3))
(/.f64 (+.f64 #s(literal 129600/529 binary64) (+.f64 (/.f64 #s(literal 466560000/279841 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1679616000000/148035889 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x (.f64 x x)))
(/ (+ 129600/529 (+ (* 466560000/279841 (/ 1 (pow x 4))) (+ (* 6046617600000000/78310985281 (/ 1 (pow x 12))) (/ 1679616000000/148035889 (pow x 8))))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 466560000/279841 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1679616000000/148035889 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 129600/529 binary64) (/.f64 #s(literal 6046617600000000/78310985281 binary64) (pow.f64 x #s(literal 12 binary64)))))) (.f64 x (.f64 x x)))
(/ 129600/529 (pow x 3))
(/.f64 #s(literal 129600/529 binary64) (.f64 x (.f64 x x)))
(/ (+ 129600/529 (* 466560000/279841 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 129600/529 binary64) (/.f64 #s(literal 466560000/279841 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 466560000/279841 (* 1679616000000/148035889 (/ 1 (pow x 4)))) (pow x 4))) 129600/529) (pow x 3)))
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(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (+.f64 (/.f64 #s(literal -21600/529 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 x (.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.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 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.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 (cos.f64 x)) (sin.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 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 529/129600 binary64) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 529/129600 binary64) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 529/129600 binary64) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 529/129600 binary64) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))

rewrite363.0ms (2.9%)

Memory

-24.9MiB live, 626.6MiB allocated

Rules

4 420×	`lower-/.f32`
4 406×	`lower-/.f64`
4 400×	`lower-fma.f32`
4 390×	`lower-fma.f64`
4 136×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	398
0	77	493
1	304	279
2	1709	277
0	8370	277

Stop Event

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

Counts

24 → 2 066

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (.f64 x x)) (.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
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eval544.0ms (4.3%)

Memory: 13.6MiB live, 520.7MiB allocated
Compiler: Compiled 88 130 to 3 582 computations (95.9% saved)

prune242.0ms (1.9%)

Memory

28.5MiB live, 417.7MiB allocated

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	2 559	5	2 564
Fresh	4	1	5
Picked	3	2	5
Done	0	7	7
Total	2 566	15	2 581

Accuracy

100.0%

Counts

2 581 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
	98.1%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x (* x -23/360)) 1/6)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
✓	99.4%	#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)))
	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(approx (/ (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) (/ 1 (+ (* x (* x -23/360)) 1/6))) (*.f64 x #s(literal -1/216 binary64)))))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 #s(approx ( (+ (* 529/129600 (* (* x x) (* x x))) -1/36) x) (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 795 to 246 computations (69.1% saved)

regimes17.0ms (0.1%)

Memory

5.3MiB live, 43.8MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
#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)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x (* x -23/360)) 1/6)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 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 x (/.f64 #s(approx ( (+ (* 529/129600 (* (* x x) (* x x))) -1/36) x) (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 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 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(approx (/ (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) (/ 1 (+ (* x (* x -23/360)) 1/6))) (*.f64 x #s(literal -1/216 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 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)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #s(approx (- (+ ( 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)) #s(literal 1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (.f64 x (.f64 x #s(literal 1/216 binary64)))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(approx (- x (sin x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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)))))

Calls

2 calls:

8.0ms	x
8.0ms	(/.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)

regimes11.0ms (0.1%)

Memory

-21.4MiB live, 21.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
#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)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) x (.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x (* x -23/360)) 1/6)))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 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 x (/.f64 #s(approx ( (+ (* 529/129600 (* (* x x) (* x x))) -1/36) x) (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 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 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(approx (/ (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) (/ 1 (+ (* x (* x -23/360)) 1/6))) (*.f64 x #s(literal -1/216 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 (.f64 x x) #s(literal 1/6 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.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)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

-28.7MiB live, 9.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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 #s(literal 1/6 binary64) (.f64 x x)))

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

Calls

2 calls:

1.0ms	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)

simplify7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	115
1	49	115

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness479.0ms (3.8%)

Memory

-23.5MiB live, 303.7MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
5 086×	`lower-*.f32`

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	34	273
0	60	265
1	233	265
2	1628	265
0	8350	265

Stop Event

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

Compiler

Compiled 144 to 69 computations (52.1% saved)

preprocess63.0ms (0.5%)

Memory: 15.6MiB live, 130.4MiB allocated
Remove: (abs x)
Compiler: Compiled 308 to 148 computations (51.9% 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%)

sample3.9s (31.1%)

explain272.0ms (2.2%)

preprocess134.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.2%)

localize122.0ms (1%)

series4.0ms (0%)

simplify294.0ms (2.3%)

rewrite298.0ms (2.4%)

eval106.0ms (0.8%)

prune78.0ms (0.6%)

simplify329.0ms (2.6%)

localize506.0ms (4%)

series28.0ms (0.2%)

simplify293.0ms (2.3%)

rewrite357.0ms (2.8%)

eval135.0ms (1.1%)

prune176.0ms (1.4%)

simplify250.0ms (2%)

localize939.0ms (7.4%)

series61.0ms (0.5%)

simplify477.0ms (3.8%)

rewrite564.0ms (4.5%)

eval193.0ms (1.5%)

prune302.0ms (2.4%)

simplify261.0ms (2.1%)

localize445.0ms (3.5%)

series23.0ms (0.2%)

simplify283.0ms (2.2%)

rewrite363.0ms (2.9%)

eval544.0ms (4.3%)

prune242.0ms (1.9%)

regimes17.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness479.0ms (3.8%)

preprocess63.0ms (0.5%)

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