Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.3MiB live, 3.3MiB 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)

sample3.8s (35.4%)

Memory

45.3MiB live, 3 769.7MiB allocated

Samples

2.8s	5 664×	2	valid
403.0ms	2 456×	1	valid
18.0ms	136×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-sin: 1.9s (68.9% of total)

adjust: 359.0ms (12.8% of total)

ival-div: 189.0ms (6.7% of total)

ival-sub: 151.0ms (5.4% of total)

ival-<=: 91.0ms (3.2% of total)

ival-tan: 54.0ms (1.9% of total)

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

exact: 11.0ms (0.4% of total)

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

Bogosity

explain478.0ms (4.4%)

Memory

-20.4MiB live, 223.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	0	-	`(-.f64 x (sin.f64 x))`
56	-	7	(2.0072827871933e-107)	`(/.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	104	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	49	0
↳	`(-.f64 x (sin.f64 x))`	underflow	152

Confusion

	Predicted +	Predicted -
+	153	0
-	0	103

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	153	0	0
-	0	0	103

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	103
1	153

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

228.0ms	330×	2	valid
120.0ms	170×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-sin: 169.0ms (74.3% of total)

adjust: 34.0ms (14.9% of total)

ival-div: 13.0ms (5.7% of total)

ival-sub: 7.0ms (3.1% of total)

ival-tan: 4.0ms (1.8% of total)

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

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

preprocess47.0ms (0.4%)

Memory

-8.0MiB live, 71.6MiB 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 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify22.0ms (0.2%)

Memory

-4.7MiB live, 33.5MiB 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)

localize142.0ms (1.3%)

Memory

28.4MiB live, 186.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	11.804056612143958	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	22.126671740501767	(-.f64 x (sin.f64 x))

Samples

125.0ms	165×	2	valid
10.0ms	85×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-sin: 85.0ms (69% of total)

adjust: 28.0ms (22.7% of total)

ival-div: 4.0ms (3.2% of total)

ival-sub: 4.0ms (3.2% of total)

ival-tan: 2.0ms (1.6% of total)

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

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

series7.0ms (0.1%)

Memory

-23.6MiB live, 14.3MiB 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 (* 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 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 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 (/ (* 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 (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 (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) (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 (/ (* 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 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 (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) (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

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))

simplify169.0ms (1.6%)

Memory

20.7MiB live, 174.4MiB 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	2499	348
4	5485	342
0	8483	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))))
(* 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 (* -1/6 (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))))
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))))))))
(/ (* 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
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(sin x)
(sin x)
(sin x)
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos 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))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(sin x)
(sin x)
(sin x)
(sin x)
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

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

rewrite240.0ms (2.2%)

Memory

-52.0MiB live, 216.6MiB 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
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eval89.0ms (0.8%)

Memory: 29.3MiB live, 182.8MiB allocated
Compiler: Compiled 11 308 to 1 549 computations (86.3% saved)

prune25.0ms (0.2%)

Memory

-0.6MiB live, 38.2MiB 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
	81.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	80.5%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 154 to 108 computations (29.9% saved)

simplify111.0ms (1%)

Memory

-7.8MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Rules

10 630×	`lower-fma.f32`
10 618×	`lower-fma.f64`
3 202×	`lower-*.f32`
3 184×	`lower-*.f64`
1 514×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	289
0	57	289
1	101	289
2	179	289
3	388	289
4	824	289
5	1705	289
6	1893	289
7	2586	289
8	6505	289
0	8009	289

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize259.0ms (2.4%)

Memory

-9.8MiB live, 432.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0.13671875	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.6629591867457385	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	11.804056612143958	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.012382519536884034	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.015625	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.15234375	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.296875	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.15234375	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.30078125	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0.23046875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.78085806070953	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
accuracy	0.15234375	(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.30078125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)

Samples

174.0ms	165×	2	valid
51.0ms	85×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 247 to 34 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-sin: 58.0ms (30.8% of total)

ival-mult: 53.0ms (28.2% of total)

const: 26.0ms (13.8% of total)

adjust: 25.0ms (13.3% of total)

ival-add: 14.0ms (7.4% of total)

ival-div: 4.0ms (2.1% of total)

ival-sub: 4.0ms (2.1% of total)

ival-pow: 3.0ms (1.6% of total)

ival-tan: 2.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

35.0MiB live, 35.0MiB allocated

Counts

22 → 264

Calls

Call 1

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

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -11/15120 (* x x)) -23/360) (tan x))

4.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -11/15120 (* x x)) -23/360) (tan x))

3.0ms

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (+ (* -11/15120 (* x x)) -23/360) (tan x))

simplify275.0ms (2.5%)

Memory

-1.3MiB live, 187.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 866×	`lower-fma.f64`
12 866×	`lower-fma.f32`
5 116×	`lower-*.f64`
5 116×	`lower-*.f32`
2 784×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	2550
1	529	2508
2	1717	2484
3	5226	2368
0	8194	2256

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 261

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))))
(* 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))))
(* 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))))
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)))
(* 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))))
(* 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)
(* 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))))
(* 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))))
(* 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))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -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))))
(* 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))))
(* 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))))
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)))
(* 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))))
(* 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))))
(* 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)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
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))))))))
(/ (* 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))))
(* -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 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 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)))))))
(/ (* 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))))
(* 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)
(/ (* 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))))
(* -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 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 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))
(/ (* 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))))
(* -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 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 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))))))
(/ (* 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
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* 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)
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos 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))))
(* -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 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))))))
(* -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)))))))
(/ (* 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (* 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 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 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))))))
(* -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))
(/ (* 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))))
(* -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 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)))))
(* -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))))))
(/ (* 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))))
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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
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(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(/ (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))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* -11/15120 (pow x 2))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(/ (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))

rewrite462.0ms (4.3%)

Memory

-31.0MiB live, 144.9MiB allocated

Rules

4 848×	`lower-/.f32`
4 846×	`lower-/.f64`
4 494×	`lower-*.f32`
4 476×	`lower-*.f64`
3 604×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	257
0	57	257
1	207	257
2	1324	257
0	8355	257

Stop Event

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

Counts

22 → 437

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(tan.f64 x)

Outputs
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eval185.0ms (1.7%)

Memory: 29.7MiB live, 145.6MiB allocated
Compiler: Compiled 19 715 to 2 546 computations (87.1% saved)

prune262.0ms (2.4%)

Memory

-9.8MiB live, 101.9MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	784	10	794
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	786	14	800

Accuracy

100.0%

Counts

800 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	23.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) x))
	30.5%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 406 to 297 computations (26.8% saved)

simplify157.0ms (1.5%)

Memory

-10.9MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))

Rules

5 584×	`lower-fma.f32`
5 568×	`lower-fma.f64`
3 572×	`lower-*.f32`
3 550×	`lower-*.f64`
2 166×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	439
0	82	428
1	151	424
2	255	424
3	560	424
4	1309	424
5	2536	424
6	2876	424
7	3538	424
8	7730	424
0	8245	417

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
#s(literal -11/15120 binary64)
x
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
#s(literal -11/15120 binary64)
x
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64) (*.f64 #s(literal -1/36 binary64) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize484.0ms (4.5%)

Memory

15.1MiB live, 422.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
accuracy	0.3125	(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
accuracy	0.37890625	(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.0078125	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.16796875	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
accuracy	0.012382519536884034	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
accuracy	0.015625	(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
accuracy	0.12890625	(*.f64 #s(literal -11/15120 binary64) x)
accuracy	0.22265625	(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.15234375	(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.30078125	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7708458420793881	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.12109375	(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
accuracy	0.15234375	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.5234375	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)

Samples

318.0ms	165×	2	valid
100.0ms	85×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 367 to 52 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-mult: 122.0ms (32.5% of total)

ival-sin: 84.0ms (22.4% of total)

ival-add: 46.0ms (12.3% of total)

ival-div: 40.0ms (10.7% of total)

const: 38.0ms (10.1% of total)

adjust: 36.0ms (9.6% of total)

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

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

ival-tan: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

11.2MiB live, 48.8MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (patch (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -11/15120 binary64) x) (patch (.f64 #s(literal -11/15120 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #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 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 #s(literal -11/15120 binary64) x) (patch (.f64 #s(literal -11/15120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 #s(literal -11/15120 binary64) x) (patch (.f64 #s(literal -11/15120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 #s(literal -11/15120 binary64) x) (patch (.f64 #s(literal -11/15120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 #s(literal -11/15120 binary64) x) (patch (.f64 #s(literal -11/15120 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

27.0ms

inf

((+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (+ (* (* -11/15120 x) x) -23/360) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (* 1/6 x) (* -11/15120 x) (+ (* -23/360 (* x x)) 1/6))

4.0ms

-inf

((+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (+ (* (* -11/15120 x) x) -23/360) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (* 1/6 x) (* -11/15120 x) (+ (* -23/360 (* x x)) 1/6))

3.0ms

((+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* -11/15120 x) x) -23/360) (* x x)) 1/6) (+ (* (* -11/15120 x) x) -23/360) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (* 1/6 x) (* -11/15120 x) (+ (* -23/360 (* x x)) 1/6))

simplify299.0ms (2.8%)

Memory

2.4MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 126×	`lower-fma.f64`
16 126×	`lower-fma.f32`
5 124×	`lower-*.f64`
5 124×	`lower-*.f32`
3 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	3002
1	512	2972
2	1601	2930
3	4240	2832
0	8676	2708

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
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(*.f64 x x)
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -143/604800 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))

rewrite344.0ms (3.2%)

Memory

-18.7MiB live, 231.4MiB allocated

Rules

5 500×	`lower-fma.f32`
5 484×	`lower-fma.f64`
4 868×	`lower-/.f32`
4 862×	`lower-/.f64`
4 108×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	377
0	82	356
1	336	341
2	2047	341
0	8540	334

Stop Event

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

Counts

24 → 621

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal -11/15120 binary64) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))

Outputs
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eval317.0ms (2.9%)

Memory: 2.7MiB live, 275.8MiB allocated
Compiler: Compiled 25 385 to 3 048 computations (88% saved)

prune133.0ms (1.2%)

Memory

4.1MiB live, 120.0MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 058	7	1 065
Fresh	5	1	6
Picked	2	3	5
Done	0	3	3
Total	1 065	14	1 079

Accuracy

100.0%

Counts

1 079 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
▶	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (* -11/15120 x) x) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (+ (* (pow x 4) 529/129600) -1/36) x) (.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	30.5%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 294 to 211 computations (28.2% saved)

simplify200.0ms (1.8%)

Memory

-18.1MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
cost-diff	0	#s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff	6656	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(.f64 #s(literal -23/360 binary64) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
cost-diff	6144	(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
cost-diff	0	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))

Rules

2 646×	`lower-*.f32`
2 644×	`lower-/.f32`
2 634×	`lower-/.f64`
2 632×	`lower-*.f64`
2 538×	`lower-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	343
0	66	340
1	108	324
2	176	322
3	302	320
4	476	320
5	1003	318
6	2387	318
7	3517	318
8	6185	318
0	8005	318

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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
(.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))))
#s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize861.0ms (7.9%)

Memory

7.9MiB live, 372.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
accuracy	0.234375	(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
accuracy	0.51171875	(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy	0.0078125	(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy	0.2109375	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	43.858676095871985	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0703125	(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
accuracy	0.23046875	(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
accuracy	0.313163769536884	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.16796875	(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
accuracy	0.779122194005498	#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy	0.0078125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.15234375	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy	0.1733524820425836	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))

Samples

534.0ms	137×	2	valid
159.0ms	82×	1	valid
41.0ms	31×	3	valid
2.0ms	6×	0	valid

Compiler

Compiled 257 to 36 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 663.0ms

ival-sin: 271.0ms (40.9% of total)

const: 116.0ms (17.5% of total)

adjust: 112.0ms (16.9% of total)

ival-div: 97.0ms (14.6% of total)

ival-mult: 46.0ms (6.9% of total)

ival-add: 9.0ms (1.4% of total)

ival-sub: 6.0ms (0.9% of total)

ival-pow: 3.0ms (0.5% of total)

ival-tan: 2.0ms (0.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series33.0ms (0.3%)

Memory

-4.7MiB live, 32.6MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))) (patch (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -23/360 binary64) (.f64 x x)) (patch (.f64 #s(literal -23/360 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (patch (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (patch (.f64 (.f64 x x) (.f64 #s(literal -23/360 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 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 23/10 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 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 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 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 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 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 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 23/10 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))) (patch (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
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#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 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) (patch (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* 529/129600 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (patch (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (patch (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (patch (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (patch (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -23/360 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (patch (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -360/23 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt -360/23 (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 21600/529 (/ 1 (pow x 2))) 360/23) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) (patch (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* x x) 1/6) (* (* x x) (* -23/360 (* x x)))) (/ (- x (sin x)) (tan x)) (* -23/360 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x)) (+ (* 529/129600 (pow x 4)) -1/36) (pow x 4) (* (* x x) (* -23/360 (* x x))) (/ 1/6 (* x x)) (/ x (+ (* -23/360 (* x x)) -1/6)) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x))

3.0ms

-inf

((/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* x x) 1/6) (* (* x x) (* -23/360 (* x x)))) (/ (- x (sin x)) (tan x)) (* -23/360 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x)) (+ (* 529/129600 (pow x 4)) -1/36) (pow x 4) (* (* x x) (* -23/360 (* x x))) (/ 1/6 (* x x)) (/ x (+ (* -23/360 (* x x)) -1/6)) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x))

2.0ms

((/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (+ (* (* x x) 1/6) (* (* x x) (* -23/360 (* x x)))) (/ (- x (sin x)) (tan x)) (* -23/360 (* x x)) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (+ (* 529/129600 (pow x 4)) -1/36) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x)) (+ (* 529/129600 (pow x 4)) -1/36) (pow x 4) (* (* x x) (* -23/360 (* x x))) (/ 1/6 (* x x)) (/ x (+ (* -23/360 (* x x)) -1/6)) (* (/ x (+ (* -23/360 (* x x)) -1/6)) x))

simplify128.0ms (1.2%)

Memory

35.1MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 508×	`lower-fma.f64`
7 508×	`lower-fma.f32`
3 684×	`lower-*.f64`
3 684×	`lower-*.f32`
1 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2534
1	391	2500
2	1036	2492
3	2571	2402
4	5760	2402
0	8083	2315

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 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))))
(* 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))))
(* 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))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 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))))
(* 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))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 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))))
(* 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))))
(* -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 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -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))))
(* 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))))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* 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))))
(* 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))))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(* -6 (pow x 2))
(* (pow x 2) (- (* 23/10 (pow x 2)) 6))
(* (pow x 2) (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* (pow x 2) (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(* -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))
(/ (* 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))))
(* -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))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ (* 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))))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -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))
(/ (* 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))))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -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))
(/ (* 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))))
(* -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
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 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))))
(* -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))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
-360/23
(- (* 21600/529 (/ 1 (pow x 2))) 360/23)
(- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4))))
(- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4))))
(* -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))))))
(/ (* 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 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))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ (* 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 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -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))
(/ (* 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 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))
(/ (* 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 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
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(/ (* 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 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))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(* -23/360 (pow x 4))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ -360/23 x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
-360/23
(- (* 21600/529 (/ 1 (pow x 2))) 360/23)
(- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4))))
(- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4))))

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (.f64 x x) #s(literal 529/600 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
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(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -360/23 (pow x 2))
(/.f64 (/.f64 #s(literal -360/23 binary64) x) x)
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 360/23 binary64) x)) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 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))
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -21600/529 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -360/23 binary64))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) x)
-360/23
#s(literal -360/23 binary64)
(- (* 21600/529 (/ 1 (pow x 2))) 360/23)
(-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64))
(- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4))))
(-.f64 (/.f64 #s(literal -1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))))
(- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -360/23 binary64))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)))

rewrite172.0ms (1.6%)

Memory

-34.1MiB live, 331.0MiB allocated

Rules

5 114×	`lower-fma.f32`
5 106×	`lower-fma.f64`
4 854×	`lower-/.f32`
4 844×	`lower-/.f64`
4 156×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	297
0	66	283
1	237	261
2	1537	261
0	8291	257

Stop Event

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

Counts

23 → 908

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
(*.f64 x x)
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)

Outputs
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eval160.0ms (1.5%)

Memory: 14.9MiB live, 320.6MiB allocated
Compiler: Compiled 31 282 to 3 026 computations (90.3% saved)

prune53.0ms (0.5%)

Memory

5.7MiB live, 136.8MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 387	4	1 391
Fresh	3	0	3
Picked	3	2	5
Done	0	6	6
Total	1 393	12	1 405

Accuracy

100.0%

Counts

1 405 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) 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)))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
✓	98.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))

Compiler

Compiled 530 to 250 computations (52.8% saved)

regimes16.0ms (0.1%)

Memory

8.2MiB live, 47.0MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (* -11/15120 x) x) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.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 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (+ (* (pow x 4) 529/129600) -1/36) x) (.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx ( (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))) x) x))

Outputs

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

Calls

2 calls:

8.0ms	x
7.0ms	(/.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 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-12.9MiB live, 29.2MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (* -11/15120 x) x) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.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 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx ( (+ (* (pow x 4) 529/129600) -1/36) x) (.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 x x) #s(approx (/ 1 (+ ( -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (* -11/15120 x) x) -23/360) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.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 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal -1/6 binary64))) x)))

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.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 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

-28.3MiB live, 11.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify24.0ms (0.2%)

Memory

-20.4MiB live, 58.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	138
1	60	138

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness693.0ms (6.4%)

Memory

6.8MiB live, 606.2MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
12 866×	`lower-fma.f64`
12 866×	`lower-fma.f32`
7 508×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2534
1	391	2500
2	1036	2492
3	2571	2402
4	5760	2402
0	8083	2315
0	33	257
0	57	257
1	207	257
2	1324	257
0	8355	257
0	105	408
1	301	384
2	829	384
3	2499	348
4	5485	342
0	8483	318
0	170	2550
1	529	2508
2	1717	2484
3	5226	2368
0	8194	2256

Stop Event

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

Compiler

Compiled 131 to 79 computations (39.7% saved)

preprocess60.0ms (0.6%)

Memory: -0.8MiB live, 116.9MiB allocated
Remove: (abs x)
Compiler: Compiled 244 to 130 computations (46.7% 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%)

sample3.8s (35.4%)

explain478.0ms (4.4%)

preprocess47.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.2%)

localize142.0ms (1.3%)

series7.0ms (0.1%)

simplify169.0ms (1.6%)

rewrite240.0ms (2.2%)

eval89.0ms (0.8%)

prune25.0ms (0.2%)

simplify111.0ms (1%)

localize259.0ms (2.4%)

series21.0ms (0.2%)

simplify275.0ms (2.5%)

rewrite462.0ms (4.3%)

eval185.0ms (1.7%)

prune262.0ms (2.4%)

simplify157.0ms (1.5%)

localize484.0ms (4.5%)

series45.0ms (0.4%)

simplify299.0ms (2.8%)

rewrite344.0ms (3.2%)

eval317.0ms (2.9%)

prune133.0ms (1.2%)

simplify200.0ms (1.8%)

localize861.0ms (7.9%)

series33.0ms (0.3%)

simplify128.0ms (1.2%)

rewrite172.0ms (1.6%)

eval160.0ms (1.5%)

prune53.0ms (0.5%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify24.0ms (0.2%)

soundness693.0ms (6.4%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling

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

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