Metrics for bug500 (missed optimization)

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample912.0ms (9.4%)

Memory

8.2MiB live, 740.6MiB allocated

Samples

545.0ms	7 151×	1	valid
98.0ms	573×	2	valid
23.0ms	532×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-sin: 214.0ms (45.6% of total)

adjust: 101.0ms (21.5% of total)

ival-sub: 84.0ms (17.9% of total)

ival-<: 46.0ms (9.8% of total)

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

exact: 11.0ms (2.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess19.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain69.0ms (0.7%)

Memory

-16.0MiB live, 61.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(-.f64 (sin.f64 x) x)`
0	-	-	`(sin.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (sin.f64 x) x)`	cancellation	70	0

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	438×	1	valid
5.0ms	38×	2	valid
1.0ms	36×	0	valid

Compiler

Compiled 28 to 16 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sin: 12.0ms (53.5% of total)

adjust: 5.0ms (22.3% of total)

ival-sub: 5.0ms (22.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.8%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify8.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	7
0	5	7
1	7	7
2	12	7
3	18	7
4	26	7
5	41	7
6	74	7
7	100	7
8	143	7
9	160	7
10	172	7
0	172	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	74.8%	(-.f64 (sin.f64 x) x)

Samples

15.0ms	219×	1	valid
2.0ms	19×	2	valid
1.0ms	18×	0	valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 6.0ms (54.1% of total)

adjust: 3.0ms (27% of total)

ival-sub: 3.0ms (27% of total)

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

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

series1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<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)>

Calls

6 calls:

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

simplify265.0ms (2.7%)

Memory

-37.6MiB live, 247.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 140×	`lower-fma.f64`
12 140×	`lower-fma.f32`
3 244×	`lower-*.f64`
3 244×	`lower-*.f32`
2 514×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	170
1	121	164
2	313	164
3	949	152
4	2043	140
5	3944	140
0	8028	128

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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)

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x (.f64 x 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 (.f64 x 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)

rewrite276.0ms (2.8%)

Memory

43.1MiB live, 310.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 646×	`lower-/.f64`
4 646×	`lower-/.f32`
4 252×	`lower-fma.f64`
4 252×	`lower-fma.f32`
3 550×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6

Stop Event

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

Counts

2 → 174

Calls

Call 1

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

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

eval23.0ms (0.2%)

Memory: -7.1MiB live, 30.4MiB allocated
Compiler: Compiled 7 788 to 589 computations (92.4% saved)

prune27.0ms (0.3%)

Memory

8.0MiB live, 47.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	8	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	9	198

Accuracy

99.9%

Counts

198 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	74.8%	(-.f64 (sin.f64 x) x)
▶	73.3%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
▶	73.1%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
	98.2%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
▶	98.3%	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
	98.0%	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
	97.9%	#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
▶	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 233 to 135 computations (42.1% saved)

simplify409.0ms (4.2%)

Memory

-20.2MiB live, 369.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	cost-diff	(cos.f64 (+.f64 x x))
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))
✓	cost-diff	(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))
✓	cost-diff	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
✓	cost-diff	#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
✓	cost-diff	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
✓	cost-diff	#s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))
✓	cost-diff	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
✓	cost-diff	(neg.f64 x)
✓	cost-diff	#s(approx (- (sin x) x) (neg.f64 x))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))

Rules

16 374×	`lower-fma.f32`
16 364×	`lower-fma.f64`
5 110×	`lower-*.f32`
5 096×	`lower-*.f64`
4 224×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	292
0	59	280
1	121	277
2	297	277
3	630	277
4	1069	277
5	1435	277
6	3301	277
0	8066	274

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
x
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 x x)
(+.f64 x (sin.f64 x))
(sin.f64 x)

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 (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)) (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (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)) (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 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)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(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))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
(-.f64 #s(approx (sin x) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (sin x) (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
(-.f64 #s(approx (sin x) (fma.f64 (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)) (.f64 x (.f64 x x)) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (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)) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (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)) (.f64 x (.f64 x x)) x)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(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))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))
(cos.f64 (+.f64 x x))
(+.f64 x x)
x
(*.f64 x x)
(+.f64 x (sin.f64 x))
(sin.f64 x)

localize599.0ms (6.1%)

Memory

-15.1MiB live, 413.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 x (sin.f64 x))
✓	accuracy	93.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	accuracy	81.2%	(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	98.4%	#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
✓	accuracy	74.8%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
✓	accuracy	99.4%	(*.f64 #s(literal -1/6 binary64) x)
✓	accuracy	98.2%	#s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))
✓	accuracy	74.8%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	6.5%	#s(approx (- (sin x) x) (neg.f64 x))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))

Samples

193.0ms	154×	2	valid
106.0ms	65×	3	valid
20.0ms	31×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-sin: 62.0ms (26.4% of total)

ival-cos: 58.0ms (24.7% of total)

ival-mult: 36.0ms (15.3% of total)

adjust: 32.0ms (13.6% of total)

ival-add: 17.0ms (7.2% of total)

const: 16.0ms (6.8% of total)

ival-sub: 8.0ms (3.4% of total)

ival-div: 5.0ms (2.1% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt #s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))>
#<alt (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))>
#<alt (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))>
#<alt #s(approx (- (sin x) x) (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)>
#<alt #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))>
#<alt (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)>
#<alt (*.f64 x x)>
#<alt (-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)>
#<alt #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))>
#<alt (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))>
#<alt (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))>
#<alt (cos.f64 (+.f64 x x))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))>
#<alt (+.f64 x (sin.f64 x))>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<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 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (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 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<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 (* -1/6 (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 (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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 (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/3 (pow x 4)))>
#<alt (+ 1/2 (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (* 2 x))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 x)))>
#<alt (cos (neg (* -2 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 x)>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1/6 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt x>
#<alt (* x (+ 1 (/ (sin x) x)))>
#<alt (* x (+ 1 (/ (sin x) x)))>
#<alt (* x (+ 1 (/ (sin x) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (sin x) x)) 1)))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* -1/6 x)
1.0ms	x	@	inf	(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
1.0ms	x	@	-inf	(/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x)))
1.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x)))

simplify364.0ms (3.7%)

Memory

-26.0MiB live, 342.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 224×	`lower-fma.f64`
11 224×	`lower-fma.f32`
4 588×	`lower-*.f64`
4 588×	`lower-*.f32`
2 404×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2217
1	626	2172
2	1788	2160
3	5943	1898
0	8375	1772

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
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 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 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)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
1/2
(+ 1/2 (* 1/3 (pow x 4)))
(+ 1/2 (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))))
(+ 1/2 (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (* 2 x))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(cos (neg (* -2 x)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
x
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
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(fma.f64 x (+.f64 (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))) (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (-.f64 (sin.f64 x) (/.f64 (fma.f64 (sin.f64 x) (.f64 x (+.f64 (/.f64 (fma.f64 (cos.f64 (.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64))) x)) x)
(* -1/3 (pow x 4))
(.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal -1/3 binary64))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (*.f64 x #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/315 binary64)) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/14175 binary64) #s(literal -1/315 binary64)) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/3 (pow x 4)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/3 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x (.f64 x #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/315 binary64) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
(* (pow x 2) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/45 binary64)) #s(literal 2/3 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (* 2 x))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(cos (neg (* -2 x)))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/5040 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1/6 (pow x 2))))
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
x
(* x (+ 1 (/ (sin x) x)))
(+.f64 x (sin.f64 x))
(* x (+ 1 (/ (sin x) x)))
(+.f64 x (sin.f64 x))
(* x (+ 1 (/ (sin x) x)))
(+.f64 x (sin.f64 x))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(+.f64 x (sin.f64 x))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(+.f64 x (sin.f64 x))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(+.f64 x (sin.f64 x))

rewrite400.0ms (4.1%)

Memory

31.9MiB live, 460.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 674×	`lower-fma.f32`
5 664×	`lower-fma.f64`
3 996×	`lower-*.f32`
3 982×	`lower-*.f64`
3 614×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	231
0	59	207
1	251	201
2	1967	201
0	8187	198

Stop Event

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

Counts

21 → 553

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)
(*.f64 x x)
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
#s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(.f64 x (.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
(-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))
(cos.f64 (+.f64 x x))
(*.f64 #s(literal -1/6 binary64) x)
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 x (sin.f64 x))

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 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))))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (.f64 x x))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 x (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 x x)) x (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)))))))
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(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) #s(literal 1/4 binary64))) (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64))) (-.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (-.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (sin.f64 x) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 (sin.f64 x) x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (-.f64 (sin.f64 x) x))
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(/.f64 (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)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 x (sin.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (.f64 x x) (.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (sin.f64 x))) (.f64 (-.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 x (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (.f64 x x) (-.f64 x (sin.f64 x))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 x (sin.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 x (sin.f64 x))) (.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 x (sin.f64 x)))))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))))
(.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))))) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x))))
(.f64 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) #s(literal 1/4 binary64))) (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) #s(literal 1/4 binary64))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64))) (-.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x))))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (.f64 x x)))) (-.f64 x (sin.f64 x))))

eval149.0ms (1.5%)

Memory: -7.3MiB live, 185.5MiB allocated
Compiler: Compiled 31 933 to 2 308 computations (92.8% saved)

prune103.0ms (1.1%)

Memory

8.6MiB live, 207.4MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	907	12	919
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	910	18	928

Accuracy

100.0%

Counts

928 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	74.8%	(-.f64 (sin.f64 x) x)
✓	73.3%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
✓	73.1%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
▶	98.1%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
	97.9%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
	9.7%	#s(approx (- (sin x) x) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))))))
	98.3%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
	98.3%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (.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))))
▶	98.3%	#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
▶	98.3%	#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
	98.3%	#s(approx (- (sin x) x) (.f64 x (.f64 (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)) (*.f64 x x))))
	98.2%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
	72.9%	#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
	97.9%	#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
▶	97.9%	#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))
▶	12.2%	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))

Compiler

Compiled 925 to 346 computations (62.6% saved)

simplify507.0ms (5.2%)

Memory

20.5MiB live, 460.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(pow.f64 x #s(literal 7 binary64))
✓	cost-diff	(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
✓	cost-diff	#s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
✓	cost-diff	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
✓	cost-diff	(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))
✓	cost-diff	(.f64 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)))
✓	cost-diff	(.f64 (.f64 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))) (*.f64 x x))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
✓	cost-diff	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	cost-diff	#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	cost-diff	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))
✓	cost-diff	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))
✓	cost-diff	(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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))))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))

Rules

10 778×	`lower-fma.f32`
10 768×	`lower-fma.f64`
5 574×	`lower-*.f32`
5 546×	`lower-*.f64`
2 300×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	626
0	88	599
1	207	558
2	584	558
3	1706	558
4	4300	558
5	4829	558
6	6473	558
0	8188	552

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/36 binary64)
(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))
#s(literal 1/6 binary64)
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
x
#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.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)
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
(.f64 (.f64 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))) (*.f64 x x))
(.f64 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
(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))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
#s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))
#s(literal -1/5040 binary64)
(/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))
#s(literal -1/6 binary64)
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x x))

Outputs
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
x
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))
(.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))
(.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)))
(*.f64 x x)
(fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))
(fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/36 binary64)
(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))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 (.f64 x x) #s(literal -1/6 binary64))))
x
#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (.f64 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))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 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)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
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))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))
#s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
#s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(pow.f64 x #s(literal 7 binary64))
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
#s(literal -1/5040 binary64)
(/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal -1/6 binary64)
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))

localize552.0ms (5.7%)

Memory

-8.6MiB live, 554.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
✓	accuracy	98.5%	#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
✓	accuracy	49.2%	(+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) x))))
✓	accuracy	15.0%	(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
✓	accuracy	99.9%	(.f64 (.f64 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))) (*.f64 x x))
✓	accuracy	99.8%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	99.4%	(.f64 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)))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
✓	accuracy	98.2%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	accuracy	98.1%	#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
✓	accuracy	99.7%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))

Samples

237.0ms	154×	2	valid
191.0ms	65×	3	valid
25.0ms	31×	1	valid
3.0ms	6×	0	valid

Compiler

Compiled 491 to 52 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

adjust: 83.0ms (21.3% of total)

ival-cos: 82.0ms (21% of total)

ival-mult: 72.0ms (18.5% of total)

ival-sin: 65.0ms (16.7% of total)

const: 38.0ms (9.7% of total)

ival-add: 25.0ms (6.4% of total)

ival-div: 14.0ms (3.6% of total)

ival-sub: 8.0ms (2.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-14.0MiB live, 22.5MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt #s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))>
#<alt (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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))))>
#<alt (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))>
#<alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))>
#<alt #s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))>
#<alt (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))>
#<alt #s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 x x))>
#<alt #s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))>
#<alt (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))>
#<alt (.f64 (.f64 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))) (*.f64 x x))>
#<alt (.f64 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)))>
#<alt (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))>
#<alt #s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))>
#<alt #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))>
#<alt (pow.f64 x #s(literal 7 binary64))>
#<alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))>
#<alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) x))))>
#<alt (/.f64 #s(literal 1/120 binary64) (*.f64 x x))>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<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 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<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 (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 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (pow x 7)>
#<alt (* 1/14400 (pow x 2))>
#<alt (* (pow x 2) (+ 1/14400 (* -1/302400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))>
#<alt (* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))>
#<alt (* 1/25401600 (pow x 6))>
#<alt (* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* 1/25401600 (pow x 6))>
#<alt (* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (/ -1/6 (pow x 4))>
#<alt (/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))>
#<alt -1/5040>
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt -1/5040>
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>
#<alt (/ 1/120 (pow x 2))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6)))
0.0ms	x	@	0	(* x (/ (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6)))
0.0ms	x	@	0	(pow x 7)
0.0ms	x	@	0	(/ 1/120 (* x x))
0.0ms	x	@	0	(* (pow x 7) (+ (/ 1/120 (* x x)) (+ -1/5040 (/ -1/6 (* (* x (* x x)) x)))))

simplify354.0ms (3.6%)

Memory

-6.3MiB live, 397.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 268×	`lower-fma.f64`
10 268×	`lower-fma.f32`
4 864×	`lower-*.f64`
4 864×	`lower-*.f32`
2 054×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2971
1	534	2962
2	1592	2950
3	5804	2808
0	8240	2693

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))
(* 1/25401600 (pow x 10))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/25401600 (pow x 10))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(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 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 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(pow x 7)
(* 1/14400 (pow x 2))
(* (pow x 2) (+ 1/14400 (* -1/302400 (pow x 2))))
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))
(* 1/25401600 (pow x 6))
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* 1/25401600 (pow x 6))
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 3))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 3))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(/ -1/6 (pow x 4))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
-1/5040
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
-1/5040
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))
(/ 1/120 (pow x 2))

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
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(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1/5040 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(/ -1/6 (pow x 4))
(/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/ 1/120 (pow x 2))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))

rewrite414.0ms (4.2%)

Memory

22.2MiB live, 528.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 714×	`lower-/.f32`
4 708×	`lower-/.f64`
3 894×	`lower-*.f32`
3 866×	`lower-*.f64`
3 364×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	504
0	88	482
1	402	368
2	3085	368
0	8138	359

Stop Event

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

Counts

25 → 611

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
(.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
#s(approx (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
(.f64 (.f64 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))) (*.f64 x x))
(.f64 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)))
(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))
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
#s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))
(pow.f64 x #s(literal 7 binary64))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x x)) x))))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))

Outputs
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 x x)) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 x x) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) x) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) #s(literal -1 binary64))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x))
(.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x))
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(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (/.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (-.f64 (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 120 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
(/.f64 #s(literal 1/120 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1/120 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1/120 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 120 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 120 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/120 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 120 binary64)))))
(/.f64 (/.f64 #s(literal 1/120 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 120 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 120 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/120 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/120 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/120 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 (.f64 x x) #s(literal 120 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 120 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/120 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/120 binary64))
(*.f64 (/.f64 #s(literal 1/120 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/120 binary64) x))

eval150.0ms (1.5%)

Memory: 13.8MiB live, 258.8MiB allocated
Compiler: Compiled 40 055 to 2 541 computations (93.7% saved)

prune145.0ms (1.5%)

Memory

-32.7MiB live, 248.5MiB allocated

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1 166	11	1 177
Fresh	7	1	8
Picked	3	2	5
Done	0	5	5
Total	1 176	19	1 195

Accuracy

100.0%

Counts

1 195 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	74.8%	(-.f64 (sin.f64 x) x)
✓	73.3%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
✓	73.1%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
	98.1%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
	98.1%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
	98.0%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
▶	98.3%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	98.1%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
▶	97.9%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
	97.9%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
	98.3%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x)))
▶	72.9%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
▶	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
	98.2%	#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x #s(approx ( x (+ (* x (* x -1/5040)) 1/120)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
▶	98.1%	#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
	98.2%	#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
✓	97.9%	#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 584 to 292 computations (50% saved)

simplify546.0ms (5.6%)

Memory

-110.4MiB live, 384.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
✓	cost-diff	(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))
✓	cost-diff	(.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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))))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
✓	cost-diff	#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))
✓	cost-diff	(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
✓	cost-diff	(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
✓	cost-diff	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
✓	cost-diff	#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))
✓	cost-diff	(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))
✓	cost-diff	(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))
✓	cost-diff	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

Rules

9 108×	`lower-fma.f32`
9 102×	`lower-fma.f64`
5 170×	`lower-*.f32`
5 140×	`lower-*.f64`
2 764×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	582
0	83	548
1	184	532
2	475	514
3	1424	514
4	3853	514
5	4457	514
6	5777	514
0	8318	505

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))
x
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
x
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/5040 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal -1/5040 binary64)
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
(.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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
(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))
#s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(*.f64 x #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(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))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))
x
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x x)
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x x) (.f64 x #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))))
(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (.f64 x #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))
(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
x
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/5040 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal -1/5040 binary64)
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
#s(approx (- (sin x) x) (.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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))))
(.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
x
(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))
(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(*.f64 x #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(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))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

localize436.0ms (4.5%)

Memory

11.5MiB live, 531.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/36 binary64))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
✓	accuracy	98.3%	#s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))
✓	accuracy	99.4%	(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
✓	accuracy	3.9%	#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
✓	accuracy	98.2%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
✓	accuracy	97.9%	#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))
✓	accuracy	99.4%	(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))
✓	accuracy	98.5%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
✓	accuracy	98.1%	#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	98.5%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

Samples

204.0ms	154×	2	valid
119.0ms	65×	3	valid
24.0ms	31×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 419 to 45 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-sin: 59.0ms (20% of total)

ival-mult: 58.0ms (19.7% of total)

ival-cos: 51.0ms (17.3% of total)

ival-add: 42.0ms (14.3% of total)

adjust: 39.0ms (13.2% of total)

const: 29.0ms (9.8% of total)

ival-div: 8.0ms (2.7% of total)

ival-sub: 7.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-27.3MiB live, 8.9MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt #s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))>
#<alt (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))>
#<alt (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))>
#<alt (.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))>
#<alt #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))>
#<alt #s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))>
#<alt (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))>
#<alt #s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))>
#<alt (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))>
#<alt (.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))>
#<alt #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))>
#<alt #s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))>
#<alt (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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))))>
#<alt (/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))>
#<alt #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))>
#<alt #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal -1/36 binary64))>

Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<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 (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 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))>
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>

Calls

63 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x)))
0.0ms	x	@	-inf	(* x -1/36)
0.0ms	x	@	inf	(* x -1/36)
0.0ms	x	@	0	(* x -1/36)
0.0ms	x	@	-inf	(- (sin x) x)

simplify538.0ms (5.5%)

Memory

34.0MiB live, 433.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 752×	`lower-fma.f64`
12 752×	`lower-fma.f32`
4 226×	`lower-*.f64`
4 226×	`lower-*.f32`
3 156×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	2674
1	489	2656
2	1459	2632
3	5289	2448
0	8847	2332

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))
(* 1/25401600 (pow x 10))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/25401600 (pow x 10))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)

Outputs
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(-.f64 (neg.f64 x) (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (fma.f64 (/.f64 (cos.f64 (.f64 x #s(literal -2 binary64))) (.f64 x x)) #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (neg.f64 x) (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(-.f64 (+.f64 (sin.f64 x) (/.f64 (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))) x)) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
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(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.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)))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.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)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/5040 (pow x 6))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/302400 binary64)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))
(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/25401600 binary64)) #s(literal -1/302400 binary64)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)))
(* 1/25401600 (pow x 10))
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (.f64 x x))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 1/25401600 (pow x 10))
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (.f64 x x))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(.f64 x (.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))

rewrite785.0ms (8.1%)

Memory

2.4MiB live, 433.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 484×	`lower-fma.f32`
5 478×	`lower-fma.f64`
4 262×	`lower-*.f32`
4 232×	`lower-*.f64`
3 846×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
0	83	431
1	331	381
2	2128	381
0	8229	374

Stop Event

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

Counts

21 → 179

Calls

Call 1

Inputs
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64)))
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
(.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x))
(.f64 x #s(approx (+ ( x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64)))))
#s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
(.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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))))
(/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))
#s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/36 binary64))

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
(*.f64 x #s(literal -1/36 binary64))
(*.f64 #s(literal -1/36 binary64) x)

eval104.0ms (1.1%)

Memory: -4.6MiB live, 118.4MiB allocated
Compiler: Compiled 12 407 to 838 computations (93.2% saved)

prune190.0ms (1.9%)

Memory

-3.7MiB live, 150.7MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	609	4	613
Fresh	4	3	7
Picked	1	4	5
Done	0	7	7
Total	614	18	632

Accuracy

100.0%

Counts

632 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.6%	(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
✓	74.8%	(-.f64 (sin.f64 x) x)
✓	73.3%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
✓	73.1%	(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
	98.0%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
	98.2%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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))))
✓	98.3%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	98.1%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
✓	97.9%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
	97.9%	#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
	98.1%	#s(approx (- (sin x) x) (/.f64 (.f64 x #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
✓	72.9%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
✓	97.9%	#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
	98.0%	#s(approx (- (sin x) x) (.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)))
	98.2%	#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x #s(approx ( x (+ (* x (* x -1/5040)) 1/120)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
	98.3%	#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
✓	97.9%	#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
✓	6.5%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 1 070 to 300 computations (72% saved)

regimes20.0ms (0.2%)

Memory

16.5MiB live, 54.3MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 x (.f64 (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)) (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
#s(approx (- (sin x) x) (/.f64 (.f64 x #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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))))
#s(approx (- (sin x) x) (.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x #s(approx ( x (+ (* x (* x -1/5040)) 1/120)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (.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))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) #s(approx (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (*.f64 x x)) x)))))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x)))
#s(approx (- (sin x) x) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x))))))))

Outputs

#s(approx (- (sin x) x) (*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))

Calls

2 calls:

9.0ms	x
9.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes42.0ms (0.4%)

Memory

-36.4MiB live, 57.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 x (.f64 (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)) (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 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)))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (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)))))
#s(approx (- (sin x) x) (/.f64 (.f64 x #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x 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))))
#s(approx (- (sin x) x) (.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 (.f64 x x) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x #s(approx ( x (+ (* x (* x -1/5040)) 1/120)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (.f64 x (.f64 x x))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))

Outputs

#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

Calls

2 calls:

26.0ms	x
15.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (sin.f64 x) x)`
98.3%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes12.0ms (0.1%)

Memory

-8.1MiB live, 30.5MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 x (.f64 (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)) (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 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))) (*.f64 x x)))

Outputs

#s(approx (- (sin x) x) (*.f64 x (/.f64 #s(approx (* (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 x (.f64 (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)) (*.f64 x x))))

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes10.0ms (0.1%)

Memory

-14.9MiB live, 24.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) x) x))))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/5040 binary64))))) (*.f64 x x)))

Outputs
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (sin.f64 x) x)`
98.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))

Outputs
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))

Calls

2 calls:

3.0ms	x
3.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes38.0ms (0.4%)

Memory

-26.7MiB live, 14.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))
#s(approx (- (sin x) x) (.f64 (.f64 x #s(approx (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) #s(literal -1/6 binary64))) (*.f64 x x)))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 x #s(approx ( x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) #s(approx (+ ( 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))))
(-.f64 #s(approx (sin x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) x)) x)

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

Calls

2 calls:

35.0ms	x
2.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`x`
6.5%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify8.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	225
1	89	225
2	91	225
3	92	225

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (neg.f64 x))

Outputs
#s(approx (- (sin x) x) (.f64 x (/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (/.f64 #s(approx ( (* x x) (+ (* (* x x) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)) (.f64 x (.f64 x #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(approx (+ ( x (* x -1/5040)) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (/ (- 1/2 (+ (* 1/2 (cos (+ x x))) (* x x))) (+ x (sin x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
#s(approx (- (sin x) x) (.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x))))
#s(approx (- (sin x) x) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (neg.f64 x))

soundness1.1s (11%)

Memory

7.3MiB live, 841.1MiB allocated

Rules

12 752×	`lower-fma.f64`
12 752×	`lower-fma.f32`
12 140×	`lower-fma.f64`
12 140×	`lower-fma.f32`
11 224×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	2217
1	626	2172
2	1788	2160
3	5943	1898
0	8375	1772
0	3	6
0	5	6
1	20	6
2	148	6
3	1494	6
0	8322	6
0	182	2674
1	489	2656
2	1459	2632
3	5289	2448
0	8847	2332
0	47	170
1	121	164
2	313	164
3	949	152
4	2043	140
5	3944	140
0	8028	128
0	196	2971
1	534	2962
2	1592	2950
3	5804	2808
0	8240	2693
0	32	231
0	59	207
1	251	201
2	1967	201
0	8187	198

Stop Event

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

Compiler

Compiled 338 to 163 computations (51.8% saved)

preprocess101.0ms (1%)

Memory: 11.7MiB live, 129.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 474 to 182 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4

analyze0.0ms (0%)

sample912.0ms (9.4%)

preprocess19.0ms (0.2%)

explain69.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize24.0ms (0.2%)

series1.0ms (0%)

simplify265.0ms (2.7%)

rewrite276.0ms (2.8%)

eval23.0ms (0.2%)

prune27.0ms (0.3%)

simplify409.0ms (4.2%)

localize599.0ms (6.1%)

series12.0ms (0.1%)

simplify364.0ms (3.7%)

rewrite400.0ms (4.1%)

eval149.0ms (1.5%)

prune103.0ms (1.1%)

simplify507.0ms (5.2%)

localize552.0ms (5.7%)

series18.0ms (0.2%)

simplify354.0ms (3.6%)

rewrite414.0ms (4.2%)

eval150.0ms (1.5%)

prune145.0ms (1.5%)

simplify546.0ms (5.6%)

localize436.0ms (4.5%)

series29.0ms (0.3%)

simplify538.0ms (5.5%)

rewrite785.0ms (8.1%)

eval104.0ms (1.1%)

prune190.0ms (1.9%)

regimes20.0ms (0.2%)

regimes42.0ms (0.4%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes38.0ms (0.4%)

regimes2.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (11%)

preprocess101.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	13
1	15	11
2	46	8
3	103	8
4	135	8
5	137	8
0	3	4
0	5	4
1	7	4
2	12	4
3	18	4
4	26	4
5	41	4
6	74	4
7	100	4
8	143	4
9	160	4
10	172	4
0	172	4