Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory

-36.2MiB live, 2.8MiB 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)

sample4.4s (35%)

Memory

-90.5MiB live, 3 720.9MiB allocated

Samples

3.2s	5 677×	2	valid
452.0ms	2 429×	1	valid
42.0ms	150×	0	valid

Precisions

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

ival-sin: 2.2s (70.4% of total)

adjust: 348.0ms (11% of total)

ival-sub: 193.0ms (6.1% of total)

ival-div: 190.0ms (6% of total)

ival-<=: 95.0ms (3% of total)

ival-tan: 86.0ms (2.7% of total)

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

exact: 11.0ms (0.3% of total)

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

Bogosity

explain240.0ms (1.9%)

Memory

15.4MiB live, 361.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
95	-	0	-	`(-.f64 x (sin.f64 x))`
36	-	3	(3.748861707025124e-106)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	-	0	-	`(tan.f64 x)`
0	-	0	-	`(sin.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	95	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	33	0
↳	`(-.f64 x (sin.f64 x))`	underflow	160

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

173.0ms	330×	2	valid
20.0ms	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: 173.0ms

ival-sin: 141.0ms (81.3% of total)

adjust: 12.0ms (6.9% of total)

ival-div: 9.0ms (5.2% of total)

ival-sub: 7.0ms (4% of total)

ival-tan: 4.0ms (2.3% of total)

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

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

preprocess110.0ms (0.9%)

Memory

-37.1MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify19.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB 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))

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)

localize277.0ms (2.2%)

Memory

-15.1MiB live, 98.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	7.8086531329151585	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	21.366648839616595	(-.f64 x (sin.f64 x))

Samples

259.0ms	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: 259.0ms

ival-sin: 160.0ms (61.7% of total)

adjust: 90.0ms (34.7% of total)

ival-div: 4.0ms (1.5% of total)

ival-sub: 4.0ms (1.5% of total)

ival-tan: 2.0ms (0.8% of total)

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

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

series4.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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
1.0ms	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))

simplify190.0ms (1.5%)

Memory

17.1MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite441.0ms (3.5%)

Memory

-29.7MiB live, 167.2MiB allocated

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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eval150.0ms (1.2%)

Memory: 30.7MiB live, 151.6MiB allocated
Compiler: Compiled 11 308 to 1 549 computations (86.3% saved)

prune23.0ms (0.2%)

Memory

-28.7MiB live, 53.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	516	9	525
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	516	10	526

Accuracy

99.8%

Counts

526 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
	5.3%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	5.7%	(/.f64 (-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (tan.f64 x))
✓	54.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	86.7%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	54.0%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
▶	99.5%	#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))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
	99.4%	#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))
▶	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 233 to 155 computations (33.5% saved)

simplify148.0ms (1.2%)

Memory

-4.2MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 x))
cost-diff	0	(sin.f64 x)
cost-diff	7296	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
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	(*.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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	266
0	59	266
1	99	266
2	167	262
3	379	262
4	872	262
5	1822	262
6	2003	262
7	2694	262
8	6625	262
0	8008	262

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 (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)
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(sin.f64 x)
x
(/.f64 #s(literal -1 binary64) (tan.f64 x))
#s(literal -1 binary64)
(tan.f64 x)
(/.f64 x (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 (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)
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(sin.f64 x)
x
(/.f64 #s(literal -1 binary64) (tan.f64 x))
#s(literal -1 binary64)
(tan.f64 x)
(/.f64 x (tan.f64 x))

localize490.0ms (3.9%)

Memory

7.9MiB live, 683.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 x)
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (tan.f64 x))
accuracy	0.01171875	(/.f64 x (tan.f64 x))
accuracy	60.71913451421858	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
accuracy	0	(tan.f64 x)
accuracy	0.1328125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.6509665447028431	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	7.8086531329151585	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.00390625	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.11328125	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.1488202069522025	#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	0.3046875	(.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	(*.f64 x x)
accuracy	0.19140625	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.7321194528801208	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0078125	(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
accuracy	0.109375	(.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	0.1284919428038902	#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))
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

287.0ms	165×	2	valid
115.0ms	87×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 233 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-tan: 119.0ms (32.6% of total)

const: 79.0ms (21.7% of total)

ival-sin: 57.0ms (15.6% of total)

ival-mult: 42.0ms (11.5% of total)

adjust: 24.0ms (6.6% of total)

ival-div: 19.0ms (5.2% of total)

ival-add: 15.0ms (4.1% of total)

ival-sub: 6.0ms (1.6% of total)

ival-pow: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

3.4MiB live, 41.5MiB 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 (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 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) (patch (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 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 (/.f64 x (tan.f64 x)) (patch (/.f64 x (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>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (taylor 0 x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#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>) () ())) ())
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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 (* 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 (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) (patch (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) (patch (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) (patch (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x))) (patch (fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.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 (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -143/604800 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 binary64)) (patch (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal -11/15120 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 (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-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)) (* (* (+ (* (+ (* -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) (+ (* (sin x) (/ -1 (tan x))) (/ x (tan x))) (sin x) (/ -1 (tan x)) (tan x) (+ (* -143/604800 (* x x)) -11/15120) (+ (* -11/15120 (* x x)) -23/360) (/ x (tan x)))
6.0ms	x	@	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)) (* (* (+ (* (+ (* -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) (+ (* (sin x) (/ -1 (tan x))) (/ x (tan x))) (sin x) (/ -1 (tan x)) (tan x) (+ (* -143/604800 (* x x)) -11/15120) (+ (* -11/15120 (* x x)) -23/360) (/ x (tan x)))
3.0ms	x	@	0	((/ (- 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)) (* (* (+ (* (+ (* -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) (+ (* (sin x) (/ -1 (tan x))) (/ x (tan x))) (sin x) (/ -1 (tan x)) (tan x) (+ (* -143/604800 (* x x)) -11/15120) (+ (* -11/15120 (* x x)) -23/360) (/ x (tan x)))

Time

Variable

Point

Expression

28.0ms

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

6.0ms

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

simplify166.0ms (1.3%)

Memory

20.9MiB live, 173.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	2456
1	633	2408
2	1959	2390
3	4585	2282
0	8223	2165

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 260

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 (* (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)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ -1 x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
(- (* -143/604800 (pow x 2)) 11/15120)
(- (* -143/604800 (pow x 2)) 11/15120)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(/ (* 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))))
(* -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)
(/ (* 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))))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 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))))))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -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))))
(* -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)
(/ (* x (cos x)) (sin x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 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))))))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x #s(literal 1/6 binary64)))
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 (.f64 #s(literal -143/604800 binary64) 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))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 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)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 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) (- (* -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))
(* 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) (- (* -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)))
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) (- (* -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))
(.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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 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)))
(* 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))
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
x
(* 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)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
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(* -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))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -23/360 binary64) (.f64 x x)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -23/360 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)))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (*.f64 (sin.f64 x) #s(literal 1 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))
(* 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))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 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))
(* -143/604800 (pow x 2))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 #s(literal -143/604800 binary64) x) x #s(literal -11/15120 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))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))

rewrite252.0ms (2%)

Memory

-28.8MiB live, 169.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	231
0	59	231
1	217	231
2	1500	231
0	8352	231

Stop Event

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

Counts

22 → 417

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

Outputs
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eval202.0ms (1.6%)

Memory: 13.9MiB live, 161.4MiB allocated
Compiler: Compiled 17 183 to 2 180 computations (87.3% saved)

prune66.0ms (0.5%)

Memory

-20.8MiB live, 73.3MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	799	14	813
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	801	22	823

Accuracy

100.0%

Counts

823 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.1%	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
	5.3%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	5.7%	(/.f64 (-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (tan.f64 x))
✓	54.0%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.6%	(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
✓	86.7%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	86.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	86.7%	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
▶	54.0%	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
	86.7%	(.f64 (neg.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x 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))))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))))
	99.5%	#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)))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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))) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
✓	99.5%	#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(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.6%	#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))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	20.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (.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)))))

Compiler

Compiled 704 to 459 computations (34.8% saved)

simplify209.0ms (1.7%)

Memory

28.1MiB live, 146.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
cost-diff	0	(neg.f64 (cos.f64 x))
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 x (tan.f64 x))
cost-diff	128	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 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	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #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 #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	6144	(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	460
0	84	456
1	142	452
2	262	448
3	850	444
4	2344	444
5	3081	444
6	4033	444
7	5415	444
0	8248	433

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 #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 #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 #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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(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)
(*.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
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
x
(tan.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
#s(literal 1 binary64)
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
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))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #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)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #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 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x) x))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64) (*.f64 #s(literal -23/360 binary64) x))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#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
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 x (tan.f64 x))
x
(tan.f64 x)
(neg.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 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(literal 1 binary64)
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(tan.f64 x)
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))
#s(literal 3 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x)
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal -1/6 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))
(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) 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 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)

localize1.0s (8.1%)

Memory

-10.1MiB live, 379.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)))
accuracy	0.33984375	(/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))
accuracy	0.3671875	(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
accuracy	0.98828125	(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64))
accuracy	0.1328125	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.45365301430081284	(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
accuracy	0.6509665447028431	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	7.514137559828876	(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
accuracy	0	(neg.f64 (cos.f64 x))
accuracy	0	(cos.f64 x)
accuracy	0.01171875	(/.f64 x (tan.f64 x))
accuracy	29.419279684211336	(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
accuracy	0.109375	(.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	0.1284919428038902	#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	0.30078125	(.f64 #s(approx (+ ( (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.7297903766095764	#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.1488202069522025	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #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	0.16796875	(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.55078125	(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)

Samples

583.0ms	135×	2	valid
271.0ms	87×	1	valid
92.0ms	30×	3	valid
2.0ms	4×	0	valid

Compiler

Compiled 389 to 52 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 710.0ms

ival-cos: 227.0ms (32% of total)

ival-tan: 132.0ms (18.6% of total)

ival-mult: 126.0ms (17.8% of total)

adjust: 74.0ms (10.4% of total)

ival-sin: 57.0ms (8% of total)

const: 35.0ms (4.9% of total)

ival-div: 21.0ms (3% of total)

ival-add: 18.0ms (2.5% of total)

ival-pow: 6.0ms (0.8% of total)

ival-pow2: 5.0ms (0.7% of total)

ival-sub: 4.0ms (0.6% of total)

ival-neg: 3.0ms (0.4% of total)

exact: 1.0ms (0.1% of total)

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

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

series30.0ms (0.2%)

Memory

21.3MiB live, 58.8MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #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 (fma.f64 (.f64 (.f64 (fma.f64 #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 #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 #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 #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 (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 #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 (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 x)) (patch (/.f64 x (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #<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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 #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 (cos.f64 x) (patch (cos.f64 x) #<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 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* -23/360 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #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 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #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 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #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 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 #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 (fma.f64 (.f64 (.f64 (fma.f64 #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 #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 #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 #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>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (patch (.f64 (fma.f64 #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 (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (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>) () ())) ())
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#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 (* 121/228614400 (pow x 4)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 121/228614400 (pow x 9)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (patch (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (+ (* -11/15120 (* x x)) -23/360) (/ (- 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 (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- x (sin x)) (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) (/ (- x (sin x)) (tan x)) (* (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) x) (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (cos x) (* (pow x 3) 1/6) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))

7.0ms

-inf

((* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (+ (* -11/15120 (* x x)) -23/360) (/ (- 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 (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- x (sin x)) (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) (/ (- x (sin x)) (tan x)) (* (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) x) (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (cos x) (* (pow x 3) 1/6) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))

3.0ms

((* (* (+ (* -11/15120 (* x x)) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* -11/15120 (* x x)) -23/360) x) x) x) (* 1/6 x)) x) (+ (* -11/15120 (* x x)) -23/360) (/ (- 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 (tan x)) (neg (cos x))) (/ x (tan x)) (tan x) (neg (cos x)) (/ 1 (/ (tan x) (- x (sin x)))) (/ (tan x) (- x (sin x))) (- x (sin x)) (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) (/ (- x (sin x)) (tan x)) (* (/ 1 (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))) x) (/ (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (* (+ (* -11/15120 (* x x)) -23/360) x) (* 1/6 x) (cos x) (* (pow x 3) 1/6) (pow (+ (* -11/15120 (* x x)) -23/360) 2) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x))

simplify193.0ms (1.5%)

Memory

6.5MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	3184
1	1057	3136
2	3161	3090
3	7416	3090
0	8060	2951

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (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 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))))
-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 (* (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
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
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))))))))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* 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))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(* 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 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 (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))))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) x)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
529/129600
(+ 529/129600 (* 253/2721600 (pow x 2)))
(+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))
(+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2)))) 1/36))
(* x (- (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2)))))) 1/36))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (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))))
(* -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 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))))))
(/ (* 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))))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos 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 (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -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))))))
(/ (* 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))))))
(/ -15120/11 (pow x 5))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 5))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 121/228614400 (pow x 4))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 9))
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))) (* 1/36 (/ 1 (pow x 8)))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (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))))
(* -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 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))))))
(/ (* 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 (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (* x (cos x)) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (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))))
(/ (sin x) (* x (cos x)))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -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)))))
(/ (* 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))))))
(/ -15120/11 (pow x 5))
(* -1 (/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6))))) (pow x 5)))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 121/228614400 (pow x 4))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* 121/228614400 (pow x 9))
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)))
(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))

Outputs
(* -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) (- (* -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) (- (* -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)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.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 #s(literal 1/6 binary64) (.f64 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 (* (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) (- (* -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)
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.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 #s(literal 1/6 binary64) (.f64 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 (* (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 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
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(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (cos.f64 x))) x)) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(/ (* x (cos x)) (sin x))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ -15120/11 (pow x 5))
(/.f64 #s(literal -15120/11 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (-.f64 #s(literal -15120/11 binary64) (/.f64 #s(literal -14605920/121 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6))))) (pow x 5)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 15120/11 binary64)) (-.f64 (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 1/6 (pow x 3))
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(* 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))
(* 121/228614400 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 4) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) #s(literal 121/228614400 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 121/228614400 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 9) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (.f64 x x)) #s(literal 121/228614400 binary64)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400)))
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(* -1 (* (pow x 9) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (/.f64 #s(literal 253/2721600 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64)))

rewrite244.0ms (1.9%)

Memory

-8.3MiB live, 264.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	382
0	84	349
1	313	321
2	2129	321
0	8238	303

Stop Event

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

Counts

25 → 649

Calls

Call 1

Inputs
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #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 #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 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 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))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
(tan.f64 x)
(neg.f64 (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(cos.f64 x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)

Outputs
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eval288.0ms (2.3%)

Memory: 5.5MiB live, 294.6MiB allocated
Compiler: Compiled 28 887 to 3 749 computations (87% saved)

prune46.0ms (0.4%)

Memory

-27.6MiB live, 132.8MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 056	10	1 066
Fresh	9	3	12
Picked	4	1	5
Done	1	4	5
Total	1 070	18	1 088

Accuracy

100.0%

Counts

1 088 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.1%	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
▶	5.3%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	5.7%	(/.f64 (-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (tan.f64 x))
✓	86.7%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
▶	98.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
	54.0%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))))
	99.5%	#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)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(approx (pow (+ (* -11/15120 (* x x)) -23/360) 2) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (/.f64 #s(literal 6 binary64) x))) x))
✓	99.5%	#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 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
✓	98.6%	#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))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 462 to 326 computations (29.4% saved)

simplify166.0ms (1.3%)

Memory

31.7MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (tan.f64 x))
cost-diff	0	(neg.f64 x)
cost-diff	448	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))))
cost-diff	1216	(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))
cost-diff	6144	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))
cost-diff	0	(.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
cost-diff	6848	(/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	305
0	69	305
1	127	304
2	258	290
3	540	290
4	1868	290
5	4755	290
6	6042	290
7	6501	290
8	7135	290
9	7248	290
10	7409	290
11	7777	290
12	7970	290
0	8098	290

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

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

localize568.0ms (4.5%)

Memory

-19.5MiB live, 949.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	(cos.f64 x)
accuracy	0.00390625	(/.f64 #s(literal -1 binary64) (tan.f64 x))
accuracy	60.63970453681224	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
accuracy	0.1488202069522025	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))))
accuracy	0.16796875	(*.f64 x #s(literal -11/15120 binary64))
accuracy	0.2265625	(/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))
accuracy	0.3046875	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy	0.45365301430081284	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
accuracy	0.7328021960473949	#s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
accuracy	0.23598992318411044	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
accuracy	0.3046875	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
accuracy	0.0078125	(/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
accuracy	0.11328125	(.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
accuracy	0.1488202069522025	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
accuracy	0.16796875	(*.f64 x #s(literal -11/15120 binary64))

Samples

360.0ms	135×	2	valid
88.0ms	87×	1	valid
56.0ms	30×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 267 to 42 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 450.0ms

ival-tan: 139.0ms (30.9% of total)

ival-mult: 69.0ms (15.3% of total)

ival-sin: 64.0ms (14.2% of total)

adjust: 47.0ms (10.4% of total)

const: 36.0ms (8% of total)

ival-div: 31.0ms (6.9% of total)

ival-cos: 30.0ms (6.7% of total)

ival-add: 17.0ms (3.8% of total)

ival-pow: 8.0ms (1.8% of total)

ival-sub: 4.0ms (0.9% of total)

ival-neg: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

series101.0ms (0.8%)

Memory

-2.2MiB live, 36.1MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) (patch (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (.f64 x x))) (patch #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 6 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)) (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))) (patch (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal -11/15120 binary64)) (patch (.f64 x #s(literal -11/15120 binary64)) #<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 -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))) (taylor 0 x) (#s(alt (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) (patch (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) (patch #s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) (patch (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) (patch (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) (patch (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 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 (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) (patch (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 23/10 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) 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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #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 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) (patch #s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos x)) (sin x)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) (patch (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (sin x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (tan.f64 x)) (patch (/.f64 #s(literal -1 binary64) (tan.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (cos x)) (taylor -inf x) (#s(alt (tan.f64 x) (patch (tan.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -11/15120 binary64)) (patch (.f64 x #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -11/15120 binary64)) (patch (.f64 x #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -11/15120 binary64)) (patch (.f64 x #s(literal -11/15120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -11/15120 x) (taylor -inf x) (#s(alt (.f64 x #s(literal -11/15120 binary64)) (patch (.f64 x #s(literal -11/15120 binary64)) #<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 (/ 15120/11 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

86.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify237.0ms (1.9%)

Memory

0.5MiB live, 197.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	2606
1	724	2564
2	2011	2535
3	6259	2461
0	8313	2352

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 275

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) (- (* -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 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))))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (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))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* 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 (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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ -1 x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ -6 x)
(/ (- (* -23/10 (pow x 2)) 6) x)
(/ (- (* (pow x 2) (- (* -1271/1400 (pow x 2)) 23/10)) 6) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -90229/252000 (pow x 2)) 1271/1400)) 23/10)) 6) x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -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))))))
(/ (* 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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (* 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))))
(/ (sin x) (* x (cos x)))
(/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 2) (* x (cos x)))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (* (pow x 2) (cos x)))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x)
(/ (- (+ (/ (sin x) (cos x)) (/ (pow (sin x) 4) (* (pow x 3) (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (* x (cos x)))) (* -1 (/ (pow (sin x) 3) (* (pow x 2) (cos x)))))) x)
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(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 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))))))
(/ (* 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 x)
(* -1 x)
(* -1 x)
(* -1 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 (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ 15120/11 (pow x 5))
(/ (- 15120/11 (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (* 14605920/121 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 15120/11 (/ 14528445120/1331 (pow x 4))) (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6))))) (pow x 5))
(cos x)
(cos x)
(cos x)
(cos x)
(* -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)))))
(/ (* 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))))))
(/ -15120/11 (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 4))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 4))
(/ (* 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))))
(/ (sin x) (* x (cos x)))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(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 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))))))
(/ (* 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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (cos x)) (sin x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(* -1 (/ (cos x) (sin x)))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ 15120/11 (pow x 5))
(* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 5)))
(* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5)))
(* -1 (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5)))
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(* 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) (- (* -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)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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) (- (* -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)
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 (* 1271/1400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1271/1400 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) (+ 1271/1400 (* 90229/252000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 90229/252000 binary64) (.f64 x x) #s(literal 1271/1400 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 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1271/1400 binary64) (.f64 x x) #s(literal 23/10 binary64)) (.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 46187/126000 binary64) (.f64 x x) #s(literal 1271/1400 binary64)) (.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(* 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) (- (* -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)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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) (- (* -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)
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (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 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/3 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/3 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* 1/45 (pow x 2)))) 1) x)
(fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))) 1) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x (/.f64 #s(literal -1 binary64) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
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(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 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))))))
(fma.f64 x #s(literal 1/6 binary64) (*.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))))))
(fma.f64 x #s(literal 1/6 binary64) (*.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))))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 #s(literal -23/360 binary64) 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))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(/ (sin x) (* x (cos x)))
(/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 2) (* x (cos x))))) x))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 3) (* x (cos x)))) x))) x))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) (cos x))) (* -1 (/ (pow (sin x) 4) (* x (cos x))))) x)) (/ (pow (sin x) 2) (cos x))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (cos.f64 x))) x)) x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -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 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (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 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 5 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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 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))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 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))
(* -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)
(* 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))
(/ 15120/11 (pow x 5))
(/.f64 #s(literal 15120/11 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 5)))
(/.f64 (-.f64 #s(literal 15120/11 binary64) (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5)))
(/.f64 (-.f64 (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 5)))
(/.f64 (-.f64 (/.f64 #s(literal -14439354088320/14641 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 14605920/121 binary64) (*.f64 x x)) #s(literal 15120/11 binary64)) (/.f64 #s(literal 14528445120/1331 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite317.0ms (2.5%)

Memory

3.6MiB live, 284.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	246
0	69	246
1	265	231
2	1783	231
0	8192	231

Stop Event

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

Counts

23 → 577

Calls

Call 1

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

Outputs
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eval328.0ms (2.6%)

Memory: -15.1MiB live, 261.2MiB allocated
Compiler: Compiled 20 248 to 2 666 computations (86.8% saved)

prune71.0ms (0.6%)

Memory

37.2MiB live, 76.4MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	942	6	948
Fresh	4	4	8
Picked	3	2	5
Done	1	4	5
Total	950	16	966

Accuracy

100.0%

Counts

966 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.1%	(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
✓	5.3%	(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
	5.7%	(/.f64 (-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (tan.f64 x))
✓	98.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
	54.0%	(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -6 binary64) x))))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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))))
	99.5%	#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)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
	99.3%	#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)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 #s(literal -1 binary64) (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)) (.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (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))
	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x #s(approx (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) x))
✓	99.5%	#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))
✓	98.6%	#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))
✓	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	31.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (* x x) -23/360) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))

Compiler

Compiled 926 to 353 computations (61.9% saved)

regimes47.0ms (0.4%)

Memory

-6.3MiB live, 32.0MiB allocated

Counts

40 → 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 (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) 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 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -6 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (/.f64 #s(literal 6 binary64) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 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 (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 (fma.f64 (.f64 (.f64 (fma.f64 #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 (.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 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (* x x) -23/360) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 x (pow.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(approx (pow (+ (* -11/15120 (* x x)) -23/360) 2) #s(literal 529/129600 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 #s(literal -1 binary64) (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)) (.f64 (/.f64 #s(literal -1 binary64) (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 #s(literal -1 binary64) (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))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(.f64 (neg.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (.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)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 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))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x 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))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))) (tan.f64 x))

Outputs

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

Calls

2 calls:

10.0ms	x
8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes53.0ms (0.4%)

Memory

-22.3MiB live, 14.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (+ (* (+ (* -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 (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) 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 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -6 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (/.f64 #s(literal 6 binary64) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 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 (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 (fma.f64 (.f64 (.f64 (fma.f64 #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 (.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 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 (/.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (* x x) -23/360) 1/6) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #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))

Calls

2 calls:

47.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

14 → 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 (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) 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 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -6 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (/.f64 #s(literal 6 binary64) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 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 (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 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB 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 (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) 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 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -6 binary64) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 #s(approx (+ ( -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (+ (* -11/15120 (* x x)) -23/360) (* x x)) -1/6) (* (+ (* (pow (+ (* -11/15120 (* x x)) -23/360) 2) (pow x 4)) -1/36) x)) (/.f64 #s(literal 6 binary64) x))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (tan x) (- x (sin x))) (/.f64 #s(literal 6 binary64) (*.f64 x x))))

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

regimes6.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

8 → 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 (pow (+ ( (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) 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 (fma.f64 #s(approx (+ (* -11/15120 (* x x)) -23/360) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) 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)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (neg.f64 x) #s(approx (/ -1 (+ (* (pow x 3) (+ (* (* x -11/15120) x) -23/360)) (* 1/6 x))) (/.f64 #s(literal -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:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.1%)

Memory

-40.3MiB live, 6.0MiB allocated

Counts

3 → 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 (pow (+ (* (* x x) (+ (* (* x -11/15120) x) -23/360)) 1/6) -1) #s(literal 6 binary64))) x))

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

Calls

2 calls:

16.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms	x

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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:

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

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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
98.6%	1	`x`
98.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify41.0ms (0.3%)

Memory

0.8MiB live, 39.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	197
1	82	197

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.3s (10%)

Memory

-3.9MiB live, 514.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	2606
1	724	2564
2	2011	2535
3	6259	2461
0	8313	2352
0	359	3184
1	1057	3136
2	3161	3090
3	7416	3090
0	8060	2951
0	34	231
0	59	231
1	217	231
2	1500	231
0	8352	231
0	105	408
1	301	384
2	829	384
3	2499	348
4	5485	342
0	8483	318
0	210	2456
1	633	2408
2	1959	2390
3	4585	2282
0	8223	2165
0	53	382
0	84	349
1	313	321
2	2129	321
0	8238	303

Stop Event

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

Compiler

Compiled 248 to 145 computations (41.5% saved)

preprocess85.0ms (0.7%)

Memory: 7.5MiB live, 160.1MiB allocated
Remove: (abs x)
Compiler: Compiled 332 to 190 computations (42.8% 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%)

analyze3.0ms (0%)

sample4.4s (35%)

explain240.0ms (1.9%)

preprocess110.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.2%)

localize277.0ms (2.2%)

series4.0ms (0%)

simplify190.0ms (1.5%)

rewrite441.0ms (3.5%)

eval150.0ms (1.2%)

prune23.0ms (0.2%)

simplify148.0ms (1.2%)

localize490.0ms (3.9%)

series46.0ms (0.4%)

simplify166.0ms (1.3%)

rewrite252.0ms (2%)

eval202.0ms (1.6%)

prune66.0ms (0.5%)

simplify209.0ms (1.7%)

localize1.0s (8.1%)

series30.0ms (0.2%)

simplify193.0ms (1.5%)

rewrite244.0ms (1.9%)

eval288.0ms (2.3%)

prune46.0ms (0.4%)

simplify166.0ms (1.3%)

localize568.0ms (4.5%)

series101.0ms (0.8%)

simplify237.0ms (1.9%)

rewrite317.0ms (2.5%)

eval328.0ms (2.6%)

prune71.0ms (0.6%)

regimes47.0ms (0.4%)

regimes53.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

regimes18.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify41.0ms (0.3%)

soundness1.3s (10%)

preprocess85.0ms (0.7%)

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