Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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)

sample3.6s (25.8%)

Memory

31.6MiB live, 4 614.9MiB allocated

Samples

2.9s	5 665×	2	valid
328.0ms	2 466×	1	valid
8.0ms	125×	0	valid

Precisions

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

ival-sin: 2.1s (71.3% of total)

adjust: 273.0ms (9.5% of total)

ival-div: 186.0ms (6.5% of total)

ival-tan: 151.0ms (5.2% of total)

ival-sub: 124.0ms (4.3% of total)

ival-<=: 63.0ms (2.2% of total)

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

exact: 11.0ms (0.4% of total)

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

Bogosity

explain268.0ms (1.9%)

Memory

5.8MiB live, 321.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	155	(-2.7624202696742026e-111)	0	-	`(-.f64 x (sin.f64 x))`
45	0	-	45	(-7.239671514141191e-128)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	255	0

Confusion

	Predicted +	Predicted -
+	142	0
-	113	1

Precision

0.5568627450980392

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	142	0	0
-	113	0	1

Precision?

0.5568627450980392

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

177.0ms	326×	2	valid
22.0ms	178×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 61 to 24 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-sin: 138.0ms (77% of total)

adjust: 21.0ms (11.7% of total)

ival-div: 9.0ms (5% of total)

ival-sub: 7.0ms (3.9% of total)

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

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

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

preprocess59.0ms (0.4%)

Memory

-22.4MiB live, 54.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify52.0ms (0.4%)

Memory

-10.8MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (0.6%)

Memory

33.0MiB live, 148.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tan.f64 x)
accuracy	0	(sin.f64 x)
accuracy	8.802544661185964	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	22.576509075314092	(-.f64 x (sin.f64 x))

Samples

63.0ms	163×	2	valid
16.0ms	89×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sin: 54.0ms (78.2% of total)

adjust: 6.0ms (8.7% of total)

ival-div: 4.0ms (5.8% of total)

ival-sub: 4.0ms (5.8% of total)

ival-tan: 2.0ms (2.9% of total)

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

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

series4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))>
#<alt (-.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (tan.f64 x)>

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

Calls

12 calls:

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

simplify678.0ms (4.9%)

Memory

-29.6MiB live, 689.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

rewrite496.0ms (3.6%)

Memory

-11.5MiB live, 449.3MiB allocated

Rules

5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
3 904×	`lower-/.f32`
3 902×	`lower-/.f64`
2 230×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 481

Calls

Call 1

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

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

eval60.0ms (0.4%)

Memory: -7.7MiB live, 147.2MiB allocated
Compiler: Compiled 12 277 to 1 550 computations (87.4% saved)

prune61.0ms (0.4%)

Memory

-3.8MiB live, 196.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	518	7	525
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	518	8	526

Accuracy

99.9%

Counts

526 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	85.9%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	86.0%	(/.f64 #s(approx (- x (sin x)) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
▶	85.2%	(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 246 to 137 computations (44.3% saved)

simplify356.0ms (2.6%)

Memory

6.2MiB live, 643.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize320.0ms (2.3%)

Memory

17.0MiB live, 527.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 x (.f64 x x))
accuracy	0.140625	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
accuracy	0.5915735700229561	#s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
accuracy	8.802544661185964	(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
accuracy	0.015625	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
accuracy	0.09765625	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy	0.16440631304465858	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
accuracy	0.28125	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.09765625	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
accuracy	0.2890625	(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
accuracy	0	(*.f64 x x)
accuracy	0.1953125	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.6544925176188903	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	0.12014458943653308	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
accuracy	0.16796875	(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
accuracy	0.28515625	(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
accuracy	0.54296875	(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))

Samples

189.0ms	163×	2	valid
70.0ms	89×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 277 to 35 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-sin: 54.0ms (26.1% of total)

ival-mult: 47.0ms (22.7% of total)

const: 38.0ms (18.3% of total)

adjust: 26.0ms (12.5% of total)

ival-sub: 23.0ms (11.1% of total)

ival-add: 13.0ms (6.3% of total)

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

ival-tan: 2.0ms (1% of total)

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

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

series15.0ms (0.1%)

Memory

-1.5MiB live, 37.1MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (+ (* (* x x) -143/604800) -11/15120))
1.0ms	x	@	inf	(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))
1.0ms	x	@	0	(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
1.0ms	x	@	inf	(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
0.0ms	x	@	inf	(* x (* x (+ (* (* x x) -23/360) 1/6)))

simplify457.0ms (3.3%)

Memory

8.1MiB live, 535.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 574×	`lower-fma.f64`
11 574×	`lower-fma.f32`
4 644×	`lower-*.f64`
4 644×	`lower-*.f32`
2 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

Calls

Call 1

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

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

rewrite315.0ms (2.3%)

Memory

14.0MiB live, 494.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	267
0	60	259
1	233	259
2	1628	259
0	8350	259

Stop Event

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

Counts

21 → 481

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x)))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
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(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -529/129600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))))
(+.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64)))) (/.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64)))))
(fma.f64 x #s(literal -11/15120 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal -143/604800 binary64)) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 #s(literal -143/604800 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 #s(literal -11/15120 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -143/604800 binary64) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -143/604800 binary64))) x (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 (.f64 x #s(literal -143/604800 binary64)) (.f64 x x) (*.f64 x #s(literal -11/15120 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) (.f64 x (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (*.f64 x x) #s(literal 1573/9144576000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)))) (fma.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -2924207/221225582592000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x #s(literal -11/15120 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64))))) (.f64 (.f64 x #s(literal -11/15120 binary64)) (.f64 x #s(literal -11/15120 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -143/604800 binary64)))) (*.f64 x #s(literal -11/15120 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 20449/365783040000 binary64) #s(literal -121/228614400 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))

eval103.0ms (0.7%)

Memory: -1.9MiB live, 150.8MiB allocated
Compiler: Compiled 25 916 to 2 068 computations (92% saved)

prune139.0ms (1%)

Memory

-9.1MiB live, 148.2MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	811	10	821
Fresh	1	1	2
Picked	3	2	5
Done	0	1	1
Total	815	14	829

Accuracy

100.0%

Counts

829 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.0%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	85.9%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
▶	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
	97.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
	98.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	30.3%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))

Compiler

Compiled 599 to 292 computations (51.3% saved)

simplify285.0ms (2%)

Memory

5.2MiB live, 365.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
cost-diff	768	(-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
cost-diff	1152	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))

Rules

7 724×	`lower-fma.f32`
7 712×	`lower-fma.f64`
4 868×	`lower-*.f32`
4 840×	`lower-*.f64`
1 598×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	467
0	81	415
1	184	377
2	449	377
3	825	377
4	1155	377
5	2180	377
6	2987	377
7	5308	377
0	8243	365

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

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

localize358.0ms (2.6%)

Memory

34.5MiB live, 573.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.178066259768442	(.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64))
accuracy	0.1875	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
accuracy	0.31753648625080494	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))
accuracy	0.213222509768442	(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)))
accuracy	0.2575187988422101	(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
accuracy	0.546875	(*.f64 x #s(literal -23/360 binary64))
accuracy	0.09765625	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.240566259768442	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
accuracy	43.81603786750148	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
accuracy	0.1015625	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.2890625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.6544925176188903	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0.01953125	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
accuracy	0.16440631304465858	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
accuracy	0.19140625	(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
accuracy	0.5390625	(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))

Samples

209.0ms	163×	2	valid
73.0ms	89×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 362 to 51 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-sin: 59.0ms (25.3% of total)

ival-mult: 54.0ms (23.2% of total)

const: 49.0ms (21% of total)

adjust: 31.0ms (13.3% of total)

ival-add: 17.0ms (7.3% of total)

ival-div: 16.0ms (6.9% of total)

ival-sub: 6.0ms (2.6% of total)

ival-tan: 2.0ms (0.9% of total)

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

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

series21.0ms (0.2%)

Memory

-28.9MiB live, 26.5MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* 529/129600 (pow x 6))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 6))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/36>
#<alt (+ 1/36 (* 23/2160 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* -12167/46656000 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>
#<alt (* -12167/46656000 (pow x 3))>

Calls

66 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* x 1/6)
3.0ms	x	@	inf	(* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216))
1.0ms	x	@	inf	(/ (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (- (+ (* 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)))
1.0ms	x	@	inf	(/ (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (+ (* x (* x -23/360)) -1/6))
1.0ms	x	@	0	(/ (* (* x x) (+ (* (* x (* x x)) (* (* x (* x x)) -12167/46656000)) 1/216)) (- (+ (* 529/129600 (* (* x x) (* x x))) 1/36) (* (* x x) -23/2160)))

simplify576.0ms (4.1%)

Memory

28.7MiB live, 567.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 862×	`lower-fma.f64`
18 862×	`lower-fma.f32`
3 960×	`lower-*.f64`
3 960×	`lower-*.f32`
2 954×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	2232
1	294	2202
2	793	2198
3	1866	2108
4	3870	2108
5	7552	2108
0	8320	1982

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 529/129600 (pow x 2)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 4))
(* (pow x 4) (+ 529/129600 (* 23/2160 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 529/129600 (+ (/ 1/36 (pow x 4)) (* 23/2160 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))
(* -12167/46656000 (pow x 3))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* -11/15120 (pow x 6))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* -11/15120 (pow x 6))
(.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -11/15120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -11/15120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #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 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
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(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* 1/216 (pow x 2))
(.f64 x (.f64 x #s(literal 1/216 binary64)))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))
(* -12167/46656000 (pow x 8))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* -12167/46656000 (pow x 8))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x #s(literal -12167/46656000 binary64))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -12167/46656000 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))
(* -12167/46656000 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -12167/46656000 binary64))))

rewrite432.0ms (3.1%)

Memory

-13.2MiB live, 765.6MiB allocated

Rules

6 010×	`lower-fma.f32`
5 998×	`lower-fma.f64`
5 086×	`lower-*.f32`
5 058×	`lower-*.f64`
5 054×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	356
0	81	290
1	338	255
2	2514	255
0	9450	244

Stop Event

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

Counts

22 → 800

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x x))) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x x))) x (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64))))))) (.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (.f64 x (.f64 x #s(literal 1/216 binary64)))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64)))))) (.f64 x (.f64 x #s(literal 1/216 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1801152661463/101559956668416000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/10077696 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -12167/10077696000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1801152661463/101559956668416000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/10077696 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -12167/10077696000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal -1801152661463/101559956668416000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (.f64 x (.f64 x #s(literal 1/216 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -12167/46656000 binary64))))))) (.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))))))))))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64))))
(.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (*.f64 x x))
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64))) x)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -23/360 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal -12167/46656000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64))
(.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 (.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64))))
(.f64 #s(literal -12167/46656000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal -12167/46656000 binary64)) x)
(.f64 (.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x #s(literal -23/360 binary64))) (*.f64 x #s(literal -23/360 binary64)))
(.f64 (.f64 #s(literal -12167/46656000 binary64) x) (*.f64 x x))

eval143.0ms (1%)

Memory: 15.7MiB live, 285.6MiB allocated
Compiler: Compiled 40 697 to 1 767 computations (95.7% saved)

prune103.0ms (0.7%)

Memory

-35.1MiB live, 201.6MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 298	6	1 304
Fresh	2	4	6
Picked	3	2	5
Done	0	3	3
Total	1 303	15	1 318

Accuracy

100.0%

Counts

1 318 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.0%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	85.9%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	32.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
▶	97.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
▶	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
	55.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 6 binary64))))
▶	51.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x)))
▶	51.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 433 to 229 computations (47.1% saved)

simplify195.0ms (1.4%)

Memory

3.8MiB live, 245.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
cost-diff	0	(/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))))
cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x))
cost-diff	448	(.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
cost-diff	704	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
cost-diff	0	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x)))
cost-diff	1664	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))

Rules

4 132×	`lower-*.f32`
4 110×	`lower-*.f64`
3 566×	`lower-fma.f32`
3 558×	`lower-fma.f64`
2 580×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	387
0	62	365
1	138	341
2	330	308
3	781	306
4	1681	306
5	3337	306
6	3761	306
7	4737	306
0	8523	305

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

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

localize268.0ms (1.9%)

Memory

12.9MiB live, 324.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
accuracy	0.546875	(*.f64 x #s(literal -23/360 binary64))
accuracy	1.021365703789726	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))))
accuracy	0.24056625976844204	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x))
accuracy	27.156376019137813	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
accuracy	28.580462976952678	(.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
accuracy	0.1953125	(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x))
accuracy	0.24056625976844204	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.6544925176188903	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x)))
accuracy	29.756001694351195	(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy	0.203125	(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.21160126953688405	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
accuracy	0.24513627930532603	(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
accuracy	0.2953438912142595	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
accuracy	0.546875	(*.f64 x #s(literal -23/360 binary64))

Samples

154.0ms	163×	2	valid
54.0ms	89×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 316 to 38 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-sin: 49.0ms (29.3% of total)

ival-mult: 39.0ms (23.3% of total)

const: 23.0ms (13.8% of total)

adjust: 20.0ms (12% of total)

ival-div: 18.0ms (10.8% of total)

ival-add: 12.0ms (7.2% of total)

ival-sub: 5.0ms (3% of total)

ival-tan: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

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

simplify520.0ms (3.7%)

Memory

-0.9MiB live, 391.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 438×	`lower-fma.f64`
11 438×	`lower-fma.f32`
3 668×	`lower-*.f64`
3 668×	`lower-*.f32`
2 710×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2116
1	367	2086
2	980	2080
3	2393	1972
4	5192	1972
0	8473	1873

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite1.2s (8.9%)

Memory

3.6MiB live, 522.1MiB allocated

Rules

5 796×	`lower-fma.f32`
5 788×	`lower-fma.f64`
4 854×	`lower-/.f32`
4 846×	`lower-/.f64`
3 886×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
0	62	305
1	259	218
2	1622	197
0	8398	196

Stop Event

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

Counts

21 → 1 451

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
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(.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 23/2160 binary64)))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/4665600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (.f64 (.f64 x x) #s(literal 23/2160 binary64))))))
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(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/4665600 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/1296 binary64)) (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(/.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 x x)) #s(literal -1 binary64))
(.f64 x (/.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
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(.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) x)
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 23/2160 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal 23/2160 binary64))))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/216 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal 23/2160 binary64))))))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
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eval836.0ms (6%)

Memory: -109.7MiB live, 371.9MiB allocated
Compiler: Compiled 73 183 to 3 203 computations (95.6% saved)

prune735.0ms (5.3%)

Memory

-23.0MiB live, 306.2MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	2 190	4	2 194
Fresh	2	3	5
Picked	4	1	5
Done	0	5	5
Total	2 196	13	2 209

Accuracy

100.0%

Counts

2 209 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
	86.0%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	85.9%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
	99.0%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
	97.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (* x -23/360)) -1/6) (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
✓	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
	85.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (*.f64 x x))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
	99.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( (* x x) (* (* x x) 529/129600)) -1/36) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Compiler

Compiled 682 to 222 computations (67.4% saved)

regimes15.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x (* x -23/360)) -1/6) (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( (* x x) (* (* x x) 529/129600)) -1/36) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(approx (* (* x x) (+ (* 529/129600 (* (* x x) (* x x))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* x (* x (+ (* (* x x) -23/360) 1/6))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 x (.f64 x (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (-.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs

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

Calls

2 calls:

8.0ms	x
6.0ms	(/.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 10 to 6 computations (40% saved)

regimes28.0ms (0.2%)

Memory

-23.2MiB live, 16.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify25.0ms (0.2%)

Memory

-30.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	108
1	46	108

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness919.0ms (6.6%)

Memory

7.1MiB live, 523.4MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
6 010×	`lower-fma.f32`
5 998×	`lower-fma.f64`
5 796×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
0	62	305
1	259	218
2	1622	197
0	8398	196
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318
0	51	356
0	81	290
1	338	255
2	2514	255
0	9450	244
0	34	267
0	60	259
1	233	259
2	1628	259
0	8350	259

Stop Event

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

Compiler

Compiled 149 to 72 computations (51.7% saved)

preprocess113.0ms (0.8%)

Memory: 3.6MiB live, 161.0MiB allocated
Remove: (abs x)
Compiler: Compiled 294 to 146 computations (50.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze2.0ms (0%)

sample3.6s (25.8%)

explain268.0ms (1.9%)

preprocess59.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.4%)

localize88.0ms (0.6%)

series4.0ms (0%)

simplify678.0ms (4.9%)

rewrite496.0ms (3.6%)

eval60.0ms (0.4%)

prune61.0ms (0.4%)

simplify356.0ms (2.6%)

localize320.0ms (2.3%)

series15.0ms (0.1%)

simplify457.0ms (3.3%)

rewrite315.0ms (2.3%)

eval103.0ms (0.7%)

prune139.0ms (1%)

simplify285.0ms (2%)

localize358.0ms (2.6%)

series21.0ms (0.2%)

simplify576.0ms (4.1%)

rewrite432.0ms (3.1%)

eval143.0ms (1%)

prune103.0ms (0.7%)

simplify195.0ms (1.4%)

localize268.0ms (1.9%)

series6.0ms (0%)

simplify520.0ms (3.7%)

rewrite1.2s (8.9%)

eval836.0ms (6%)

prune735.0ms (5.3%)

regimes15.0ms (0.1%)

regimes28.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify25.0ms (0.2%)

soundness919.0ms (6.6%)

preprocess113.0ms (0.8%)

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