Metrics for bug500 (missed optimization)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.2s (19.5%)

Memory

-181.2MiB live, 708.9MiB allocated

Samples

811.0ms	7 232×	1	valid
82.0ms	534×	2	valid
22.0ms	490×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 724.0ms

ival-<: 309.0ms (42.7% of total)

ival-sin: 204.0ms (28.2% of total)

adjust: 95.0ms (13.1% of total)

ival-sub: 92.0ms (12.7% of total)

ival-and: 11.0ms (1.5% of total)

exact: 10.0ms (1.4% of total)

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

Bogosity

explain64.0ms (1.1%)

Memory

18.2MiB live, 56.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
90	-	-	`(-.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	90	0

Confusion

	Predicted +	Predicted -
+	90	0
-	0	166

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	0
-	0	0	166

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	166
1	90

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	454×	1	valid
4.0ms	26×	2	valid
1.0ms	32×	0	valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 15.0ms (59.9% of total)

adjust: 5.0ms (20% of total)

ival-sub: 5.0ms (20% of total)

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

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

preprocess21.0ms (0.4%)

Memory

-32.3MiB live, 16.2MiB 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)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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

localize22.0ms (0.4%)

Memory

18.5MiB live, 18.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(sin.f64 x)
accuracy	20.143983579653142	(-.f64 (sin.f64 x) x)

Samples

15.0ms	227×	1	valid
2.0ms	13×	2	valid
1.0ms	16×	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 (55.4% of total)

adjust: 2.0ms (18.5% of total)

ival-sub: 2.0ms (18.5% of total)

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

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

series1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation:binary64>) () ())) ())

Calls

3 calls:

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

simplify137.0ms (2.3%)

Memory

-12.0MiB live, 101.0MiB 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	939	152
4	2033	140
5	3880	140
0	8027	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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(sin x)
(sin x)
(sin x)
(sin x)

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

rewrite171.0ms (2.9%)

Memory

17.9MiB live, 133.8MiB allocated

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

eval22.0ms (0.4%)

Memory: -9.9MiB live, 28.0MiB allocated
Compiler: Compiled 5 691 to 588 computations (89.7% saved)

prune5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	4	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	193	5	198

Accuracy

99.8%

Counts

198 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(-.f64 (sin.f64 x) x)
▶	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
▶	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 40 to 32 computations (20% saved)

simplify246.0ms (4.1%)

Memory

-23.3MiB live, 61.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (sin x) x) (neg.f64 x))

Rules

5 480×	`lower-fma.f32`
5 474×	`lower-fma.f64`
2 152×	`lower-*.f32`
2 144×	`lower-*.f64`
1 960×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	135
0	32	135
1	54	135
2	110	135
3	253	135
4	528	135
5	730	135
6	897	135
7	1115	135
8	1162	135
9	1322	135
10	3155	135
11	4051	135
12	4166	135
13	4188	135
14	4216	135
15	4216	135
16	4216	135
17	5276	135
18	5768	135
19	5768	135
20	5768	135
21	5768	135
22	5772	135
0	5772	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

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

localize100.0ms (1.7%)

Memory

8.6MiB live, 85.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
accuracy	0.13671875	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.4450361778544229	#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.140625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5822108824970945	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy	1.05910645392057	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy	0	(neg.f64 x)
accuracy	59.8840051004264	#s(approx (- (sin x) x) (neg.f64 x))

Samples

74.0ms	227×	1	valid
6.0ms	13×	2	valid
3.0ms	16×	0	valid

Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 16.0ms (27.6% of total)

const: 14.0ms (24.1% of total)

adjust: 9.0ms (15.5% of total)

ival-sin: 7.0ms (12.1% of total)

ival-add: 6.0ms (10.3% of total)

ival-sub: 3.0ms (5.2% of total)

ival-pow: 3.0ms (5.2% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt -1/6 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 7)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

2.0ms

inf

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

2.0ms

((- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120))

simplify179.0ms (3%)

Memory

16.9MiB live, 132.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 754×	`lower-fma.f64`
15 754×	`lower-fma.f32`
3 762×	`lower-*.f64`
3 762×	`lower-*.f32`
2 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1118
1	174	1118
2	504	1118
3	1594	1070
4	3890	1022
5	6159	1022
0	8378	957

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 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)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 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)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -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 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 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)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 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)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* -1/5040 (pow x 2))
(.f64 #s(literal -1/5040 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

rewrite217.0ms (3.7%)

Memory

-22.9MiB live, 170.5MiB allocated

Rules

7 466×	`lower-fma.f32`
7 460×	`lower-fma.f64`
5 232×	`lower-*.f32`
5 224×	`lower-*.f64`
3 060×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
0	32	113
1	111	113
2	717	113
3	7440	113
0	8390	113

Stop Event

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

Counts

13 → 458

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))

Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (*.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (*.f64 #s(literal 3/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))) x)
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (fma.f64 (.f64 #s(literal -1/6 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (-.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x x))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)) (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1/16390160963076096000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/2985984000000 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/365783040000 binary64) #s(literal 1/207360000 binary64)) (pow.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16390160963076096000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/2985984000000 binary64)) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64))))
(/.f64 (fma.f64 #s(literal -1/2098335016107155751174144000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/5159780352000000000 binary64)) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))) (fma.f64 #s(literal 1/16390160963076096000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/2985984000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/221225582592000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/604800 binary64) #s(literal 1/14400 binary64))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/604800 binary64) (.f64 x x) #s(literal 1/14400 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) (/.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal 1/25401600 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) x) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 x x)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 #s(literal -1/5040 binary64) x) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))) (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/25401600 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal -1/120 binary64)))) (neg.f64 (/.f64 #s(literal -1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))
(+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))

eval107.0ms (1.8%)

Memory: 1.4MiB live, 119.3MiB allocated
Compiler: Compiled 16 929 to 2 277 computations (86.5% saved)

prune28.0ms (0.5%)

Memory

15.5MiB live, 54.9MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	761	11	772
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	763	14	777

Accuracy

100.0%

Counts

777 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))))
	98.9%	#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
▶	98.1%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
✓	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	99.0%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
	98.0%	#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
▶	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
▶	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
▶	39.2%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 309 to 224 computations (27.5% saved)

simplify162.0ms (2.7%)

Memory

0.9MiB live, 120.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
cost-diff	6464	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff	0	#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	128	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	-5824	(.f64 (.f64 x x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))

Rules

13 022×	`lower-fma.f32`
13 018×	`lower-fma.f64`
5 490×	`lower-*.f32`
5 472×	`lower-*.f64`
1 668×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	262
0	58	246
1	95	242
2	165	242
3	339	242
4	723	242
5	1187	242
6	2071	242
7	4292	242
8	5720	242
0	8565	237

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal -1/6 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)))))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal -1/6 binary64)

localize189.0ms (3.2%)

Memory

6.8MiB live, 164.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 3/2 binary64))
accuracy	0.1484375	(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
accuracy	0.1875	(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
accuracy	1.05910645392057	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
accuracy	0.0078125	(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy	0.2265625	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.5822108824970945	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	37.88186963693572	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(.f64 (.f64 x x) x)
accuracy	0.1484375	(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy	1.05910645392057	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.15625	(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
accuracy	0.328125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	1.05910645392057	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
accuracy	0.06640625	(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
accuracy	0.328125	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.4450361778544229	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))

Samples

142.0ms	227×	1	valid
9.0ms	13×	2	valid
4.0ms	16×	0	valid

Compiler

Compiled 195 to 36 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 34.0ms (30.4% of total)

ival-pow: 19.0ms (17% of total)

const: 18.0ms (16.1% of total)

adjust: 14.0ms (12.5% of total)

ival-sin: 7.0ms (6.3% of total)

ival-add: 6.0ms (5.4% of total)

ival-sub: 5.0ms (4.5% of total)

ival-pow2: 5.0ms (4.5% of total)

ival-div: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series27.0ms (0.5%)

Memory

-7.4MiB live, 27.2MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))) (patch #s(approx (- (sin x) x) (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x))) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) (patch (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation:binary64>) () ())
#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation:binary64>) () ())
#s(alt (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (- (sin x) x) (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation:binary64>) () ())

Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (patch (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #<representation:binary64>) () ())) ())
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#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) (patch (.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* -1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 (.f64 x x) x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) (patch (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt 1/120 (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
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#s(alt (- 1/120 (* 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* 1/6 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* 1/6 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 (* (pow x 3) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) (patch (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) x) #<representation:binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

-inf

((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (* (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) x) (/ 1/6 (* x x)))

3.0ms

inf

((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (* (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) x) (/ 1/6 (* x x)))

3.0ms

((- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (- (sin x) x) (* x x) (* -1/6 x) (* (* x x) (* -1/6 x)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (* (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) x) (/ 1/6 (* x x)))

simplify149.0ms (2.5%)

Memory

25.7MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 222×	`lower-fma.f64`
9 222×	`lower-fma.f32`
3 748×	`lower-*.f64`
3 748×	`lower-*.f32`
1 678×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1902
1	230	1890
2	674	1850
3	2091	1790
4	4967	1730
0	8063	1668

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

Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
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(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)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
1/120
#s(literal 1/120 binary64)
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* -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) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -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 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -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 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

rewrite238.0ms (4%)

Memory

-13.0MiB live, 266.6MiB allocated

Rules

9 260×	`lower-fma.f32`
9 256×	`lower-fma.f64`
5 978×	`lower-*.f32`
5 960×	`lower-*.f64`
3 312×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	228
0	58	212
1	184	208
2	1064	208
0	8957	202

Stop Event

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

Counts

21 → 420

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(.f64 (.f64 x x) x)
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))

Outputs
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 x x)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)) (*.f64 x x)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x))) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (neg.f64 x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) x (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 x x) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 x x) #s(literal -1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 x (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))
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(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 9/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) x (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 x x) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(fma.f64 x (.f64 (.f64 #s(literal -1/6 binary64) x) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)))
(fma.f64 x (.f64 (.f64 #s(literal -1/6 binary64) x) x) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -6 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))

eval88.0ms (1.5%)

Memory: 3.2MiB live, 121.3MiB allocated
Compiler: Compiled 13 898 to 2 189 computations (84.2% saved)

prune37.0ms (0.6%)

Memory

-9.9MiB live, 66.4MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	780	8	788
Fresh	4	2	6
Picked	1	4	5
Done	0	3	3
Total	785	17	802

Accuracy

100.0%

Counts

802 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(-.f64 (sin.f64 x) x)
	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) x))
✓	98.1%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
	97.9%	#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
✓	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
▶	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
▶	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
✓	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
▶	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
✓	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))
▶	39.1%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
	38.5%	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 #s(approx (- 1/120 (/ 1/6 ( x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))

Compiler

Compiled 329 to 243 computations (26.1% saved)

simplify180.0ms (3%)

Memory

-50.9MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
cost-diff	0	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff	128	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x))
cost-diff	0	#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
cost-diff	-5824	(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
cost-diff	0	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))

Rules

8 542×	`lower-fma.f32`
8 534×	`lower-fma.f64`
2 116×	`lower-*.f32`
2 092×	`lower-*.f64`
1 240×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	474
0	78	464
1	136	430
2	234	422
3	482	422
4	1077	422
5	1725	422
6	2166	419
7	3825	419
8	5146	419
9	7346	419
0	8091	419

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
(.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x 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 x) #s(literal -1/6 binary64)) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
(.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x)
(.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x)
(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64))))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

Outputs
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x 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 x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x)
(.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x)
(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64))) (.f64 x x))
(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1 binary64)
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)

localize291.0ms (4.9%)

Memory

12.6MiB live, 208.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18654252930532603	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
accuracy	0.5822108824970945	#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
accuracy	37.88186963693572	(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
accuracy	0.1015625	(.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)
accuracy	0.13671875	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x)
accuracy	0.328125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	0.4450361778544229	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
accuracy	0.13671875	(.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x)
accuracy	0.328125	(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
accuracy	0.4450361778544229	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
accuracy	0.5821425996957941	#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.078125	(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy	0.1640625	(.f64 (.f64 x x) #s(literal -1/6 binary64))
accuracy	1.05910645392057	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
accuracy	0.01953125	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
accuracy	0.06640625	(.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)
accuracy	0.13671875	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
accuracy	0.4450361778544229	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))

Samples

235.0ms	227×	1	valid
11.0ms	13×	2	valid
5.0ms	16×	0	valid

Compiler

Compiled 355 to 45 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 80.0ms (37.3% of total)

ival-add: 74.0ms (34.5% of total)

adjust: 17.0ms (7.9% of total)

const: 14.0ms (6.5% of total)

ival-sin: 10.0ms (4.7% of total)

ival-div: 9.0ms (4.2% of total)

ival-sub: 5.0ms (2.3% of total)

ival-pow: 5.0ms (2.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series23.0ms (0.4%)

Memory

-8.3MiB live, 28.8MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) (patch (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (patch (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (patch #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x)) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (patch (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) (patch (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) #<representation:binary64>) () ())
#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) (patch (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 6 binary64)) (patch (.f64 (.f64 x x) #s(literal 6 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) (patch (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) #<representation:binary64>) () ())) ())
#s(alt -6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* -3/10 (pow x 2)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) (patch #s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal -1/6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) (patch #s(approx (- (sin x) x) #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) (patch #s(approx ( (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/5040 (pow x 7)) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) (patch (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) (patch (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) (patch (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) (patch (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 x) (taylor -inf x) (#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 6 binary64)) (patch (.f64 (.f64 x x) #s(literal 6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 6 binary64)) (patch (.f64 (.f64 x x) #s(literal 6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 6 binary64)) (patch (.f64 (.f64 x x) #s(literal 6 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 6 binary64)) (patch (.f64 (.f64 x x) #s(literal 6 binary64)) #<representation:binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) (- (sin x) x) (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* x x) -1/6) (* x x) (* (* (* x x) -1/6) x) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) (- (sin x) x) (* (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) x) (* (+ (* (* x x) -1/5040) 1/120) x) (/ 1 (* (* x x) 6)) (* (- 1/120 (/ 1 (* (* x x) 6))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) x) (* -1/6 x) (* (* x x) 6))

3.0ms

-inf

((/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) (- (sin x) x) (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* x x) -1/6) (* x x) (* (* (* x x) -1/6) x) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) (- (sin x) x) (* (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) x) (* (+ (* (* x x) -1/5040) 1/120) x) (/ 1 (* (* x x) 6)) (* (- 1/120 (/ 1 (* (* x x) 6))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) x) (* -1/6 x) (* (* x x) 6))

3.0ms

((/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) (- (sin x) x) (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) (- (sin x) x) (* (* x x) -1/6) (* x x) (* (* (* x x) -1/6) x) (- (sin x) x) (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) (- (sin x) x) (* (+ (* (* (+ (* (* x x) -1/5040) 1/120) x) (* x x)) (* -1/6 x)) x) (* (+ (* (* x x) -1/5040) 1/120) x) (/ 1 (* (* x x) 6)) (* (- 1/120 (/ 1 (* (* x x) 6))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (* (/ x (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6))) x) x) (* -1/6 x) (* (* x x) 6))

simplify192.0ms (3.2%)

Memory

10.5MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 832×	`lower-fma.f64`
11 832×	`lower-fma.f32`
4 186×	`lower-*.f64`
4 186×	`lower-*.f32`
2 018×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	2492
1	320	2492
2	887	2486
3	2719	2426
4	6742	2366
0	8300	2269

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* -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))
(* -1/6 (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))
(* -1/6 (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))
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(* -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))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (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))
(* -1/6 (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))
(* -1/6 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))
-1/6
(- (* 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)
(* -1/6 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))
(* -1/6 (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))
(* -1/6 (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))
(* 1/120 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))))
(/ 1/6 (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) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -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))
(* -1/6 (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))
(* -1/6 (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))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* -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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -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)))))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -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 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 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 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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -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 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))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 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)))))
(* -1/5040 (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)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* -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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -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)))))
(/ -5040 (pow x 4))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow x 2)))) (pow x 2))) 5040) (pow x 4))
(/ (- (* -1 (/ (+ 4656960 (* 17781120 (/ 1 (pow x 2)))) (pow x 4))) (+ 5040 (* 211680 (/ 1 (pow x 2))))) (pow x 4))
(* -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 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -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 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))))))
(* -1/5040 (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 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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -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 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 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 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)))
(* -1/5040 (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)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))
(* 6 (pow x 2))

Outputs
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (.f64 x x) #s(literal -3/10 binary64)) (.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/28000 (pow x 2)) 11/1400)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/28000 binary64) (.f64 x x) #s(literal -11/1400 binary64)) (.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 x x) #s(literal -1/5040 binary64)) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* -1/5040 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
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(fma.f64 (.f64 #s(literal 1/120 binary64) x) x (.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/120 binary64) x) x (.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/5040 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -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)
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/5040 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -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)
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -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 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -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 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))
(* 6 (pow x 2))
(.f64 #s(literal 6 binary64) (.f64 x x))

rewrite229.0ms (3.9%)

Memory

14.6MiB live, 246.4MiB allocated

Rules

6 868×	`lower-fma.f32`
6 860×	`lower-fma.f64`
4 320×	`lower-*.f32`
4 296×	`lower-*.f64`
3 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	357
0	78	349
1	268	321
2	1429	315
0	8230	312

Stop Event

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

Counts

23 → 528

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
(.f64 (.f64 #s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x)
(.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))))
(.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x)
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x x) #s(literal 6 binary64))

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x))))))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (pow.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (neg.f64 x) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x))
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(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) x) (/.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 x x) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal -1/6 binary64))))))
(.f64 (/.f64 x (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) x))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (.f64 x x)) (pow.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (pow.f64 (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x)))
(.f64 (neg.f64 x) (/.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (.f64 x x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))) (neg.f64 (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (.f64 x x)) (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal 1/6 binary64))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) x))) (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 x) x)) #s(literal 6 binary64))
(.f64 #s(literal -6 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -6 binary64))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(.f64 (neg.f64 x) (.f64 #s(literal -6 binary64) x))
(.f64 (.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 6 binary64) (neg.f64 (.f64 (neg.f64 x) x)))
(.f64 #s(literal 6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 6 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 6 binary64) (*.f64 x x)))
(.f64 x (neg.f64 (.f64 #s(literal -6 binary64) x)))
(.f64 x (.f64 #s(literal 6 binary64) x))
(pow.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -6 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(neg.f64 (.f64 #s(literal -6 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (.f64 x x)))
(exp.f64 (log.f64 (.f64 #s(literal 6 binary64) (.f64 x x))))

eval181.0ms (3%)

Memory: -14.7MiB live, 266.1MiB allocated
Compiler: Compiled 23 380 to 2 574 computations (89% saved)

prune47.0ms (0.8%)

Memory

2.5MiB live, 89.4MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	939	9	948
Fresh	3	2	5
Picked	3	2	5
Done	1	6	7
Total	946	19	965

Accuracy

100.0%

Counts

965 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(-.f64 (sin.f64 x) x)
	98.1%	#s(approx (- (sin x) x) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
	99.1%	#s(approx (- (sin x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x))))
	99.0%	#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) (.f64 x x))))
	99.1%	#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
	99.1%	#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) x))
✓	98.2%	#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
	98.2%	#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64))) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (* (+ (* (* x x) -1/5040) 1/120) x) (.f64 #s(literal 1/120 binary64) x)) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x) x))
	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/6 binary64)) x))
	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x) x))
✓	99.1%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
	98.9%	#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
✓	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
✓	98.2%	#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
✓	98.1%	#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
✓	6.4%	#s(approx (- (sin x) x) (neg.f64 x))

Compiler

Compiled 670 to 322 computations (51.9% saved)

regimes17.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (.f64 (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6)) #s(literal -6 binary64))) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 #s(approx (+ ( (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) x) (.f64 x x)))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 #s(approx (* (+ (* (* x x) -1/5040) 1/120) x) (.f64 #s(literal 1/120 binary64) x)) (.f64 x x) (*.f64 #s(literal -1/6 binary64) x)) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (.f64 x x) (.f64 #s(literal -1/6 binary64) x)) x) x))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (- (sin x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 #s(approx (- 1/120 (/ 1/6 ( x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/6 binary64)) x))
#s(approx (- (sin x) x) (.f64 (/.f64 (.f64 #s(literal -1/6 binary64) x) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (sin x) x) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) x))
#s(approx (- (sin x) x) (fma.f64 (.f64 x x) (.f64 #s(literal -1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x))))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) #s(literal -1 binary64)) (.f64 x x))))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))

Outputs

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

Calls

2 calls:

8.0ms	x
7.0ms	(-.f64 (sin.f64 x) x)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-28.6MiB live, 10.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory

-31.7MiB live, 7.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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
6.4%	1	`x`
6.4%	1	`(-.f64 (sin.f64 x) x)`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify56.0ms (0.9%)

Memory

-0.8MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	162
1	77	162
2	79	162
3	80	162

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (19.7%)

Memory

22.0MiB live, 771.6MiB allocated

Rules

12 140×	`lower-fma.f64`
12 140×	`lower-fma.f32`
11 832×	`lower-fma.f64`
11 832×	`lower-fma.f32`
9 260×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	357
0	78	349
1	268	321
2	1429	315
0	8230	312
0	97	1902
1	230	1890
2	674	1850
3	2091	1790
4	4967	1730
0	8063	1668
0	135	2492
1	320	2492
2	887	2486
3	2719	2426
4	6742	2366
0	8300	2269
0	39	228
0	58	212
1	184	208
2	1064	208
0	8957	202
0	47	170
1	121	164
2	313	164
3	939	152
4	2033	140
5	3880	140
0	8027	128
0	20	113
0	32	113
1	111	113
2	717	113
3	7440	113
0	8390	113

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

Compiler

Compiled 334 to 217 computations (35% saved)

preprocess132.0ms (2.2%)

Memory: -7.2MiB live, 151.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 400 to 240 computations (40% 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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (19.5%)

explain64.0ms (1.1%)

preprocess21.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize22.0ms (0.4%)

series1.0ms (0%)

simplify137.0ms (2.3%)

rewrite171.0ms (2.9%)

eval22.0ms (0.4%)

prune5.0ms (0.1%)

simplify246.0ms (4.1%)

localize100.0ms (1.7%)

series11.0ms (0.2%)

simplify179.0ms (3%)

rewrite217.0ms (3.7%)

eval107.0ms (1.8%)

prune28.0ms (0.5%)

simplify162.0ms (2.7%)

localize189.0ms (3.2%)

series27.0ms (0.5%)

simplify149.0ms (2.5%)

rewrite238.0ms (4%)

eval88.0ms (1.5%)

prune37.0ms (0.6%)

simplify180.0ms (3%)

localize291.0ms (4.9%)

series23.0ms (0.4%)

simplify192.0ms (3.2%)

rewrite229.0ms (3.9%)

eval181.0ms (3%)

prune47.0ms (0.8%)

regimes17.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

simplify56.0ms (0.9%)

soundness1.2s (19.7%)

preprocess132.0ms (2.2%)

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