Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (13.2%)

Memory

-79.5MiB live, 1 849.4MiB allocated

Samples

1.1s	8 252×	0	valid
2.0ms	3×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 897.0ms

ival-cos: 540.0ms (60.2% of total)

ival-sin: 177.0ms (19.7% of total)

ival-mult: 86.0ms (9.6% of total)

ival-add: 43.0ms (4.8% of total)

ival-sub: 40.0ms (4.5% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess96.0ms (0.9%)

Memory

-35.8MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
358×	`sub-neg`
352×	`cancel-sign-sub-inv`
302×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	101	84
2	248	83
3	583	83
4	1151	83
5	1530	83
6	1814	83
7	2069	83
8	2092	83
0	8	9
0	13	9
1	22	9
2	42	9
3	66	9
4	97	9
5	151	9
6	264	9
7	398	9
8	480	9
9	528	9
10	558	9
0	558	9

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))

explain113.0ms (1.1%)

Memory

30.4MiB live, 228.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (cos.f64 y))`
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`z`
-	-	`(cos.f64 y)`
-	-	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
-	-	`x`
-	-	`(*.f64 z (sin.f64 y))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

51.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 13.0ms (38% of total)

ival-sin: 12.0ms (35.1% of total)

ival-mult: 4.0ms (11.7% of total)

ival-add: 3.0ms (8.8% of total)

ival-sub: 2.0ms (5.9% of total)

ival-true: 1.0ms (2.9% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify24.0ms (0.2%)

Memory

-4.0MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z (sin.f64 y))
✓	cost-diff	(cos.f64 y)
✓	cost-diff	(+.f64 x (cos.f64 y))
✓	cost-diff	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
120×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize38.0ms (0.4%)

Memory

-32.9MiB live, 48.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 x (cos.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (41.4% of total)

ival-cos: 6.0ms (35.5% of total)

ival-mult: 2.0ms (11.8% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

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

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

series6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>

Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (+ x (cos y)) (* z (sin y)))
1.0ms	z	@	0	(* z (sin y))
0.0ms	z	@	0	(- (+ x (cos y)) (* z (sin y)))
0.0ms	y	@	inf	(- (+ x (cos y)) (* z (sin y)))
0.0ms	y	@	-inf	(- (+ x (cos y)) (* z (sin y)))

simplify424.0ms (4%)

Memory

4.2MiB live, 357.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 396×	`lower-fma.f64`
12 396×	`lower-fma.f32`
3 376×	`lower-*.f64`
3 376×	`lower-*.f32`
2 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)

Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 (.f64 y z) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 (.f64 y (.f64 y z)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

rewrite415.0ms (3.9%)

Memory

12.1MiB live, 250.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 620×	`lower-*.f32`
4 618×	`lower-*.f64`
4 548×	`lower-fma.f64`
4 548×	`lower-fma.f32`
2 418×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	47	21
2	388	21
3	5630	21
0	8225	21

Stop Event

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

Counts

5 → 188

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)

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

eval56.0ms (0.5%)

Memory: 8.6MiB live, 45.6MiB allocated
Compiler: Compiled 7 525 to 622 computations (91.7% saved)

prune61.0ms (0.6%)

Memory

-5.4MiB live, 71.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	278	13	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	14	292

Accuracy

100.0%

Counts

292 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
	55.4%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
	64.7%	(-.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))) (*.f64 z (sin.f64 y)))
	75.4%	(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
✓	99.9%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	89.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	54.2%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	58.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
	67.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
	75.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
▶	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
▶	57.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
	26.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 456 to 278 computations (39% saved)

simplify598.0ms (5.6%)

Memory

-12.8MiB live, 395.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	192	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
✓	cost-diff	6592	(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)
✓	cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))

Rules

16 398×	`lower-fma.f32`
16 386×	`lower-fma.f64`
4 064×	`lower-*.f32`
4 054×	`lower-*.f64`
2 182×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	297
0	74	293
1	147	292
2	346	292
3	940	292
4	2507	290
5	5127	288
6	7954	288
0	8334	280

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (2.6%)

Memory

-4.0MiB live, 198.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	87.9%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
✓	accuracy	83.2%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	100.0%	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	56.0%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z))
✓	accuracy	99.9%	(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.5%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	57.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))

Samples

79.0ms	89×	1	valid
46.0ms	128×	0	valid
41.0ms	38×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 289 to 40 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-cos: 33.0ms (24.8% of total)

ival-div: 26.0ms (19.5% of total)

ival-mult: 18.0ms (13.5% of total)

adjust: 16.0ms (12% of total)

ival-add: 16.0ms (12% of total)

ival-sin: 11.0ms (8.3% of total)

ival-sub: 7.0ms (5.3% of total)

const: 4.0ms (3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory

26.4MiB live, 62.5MiB allocated

Counts

22 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
3.0ms	y	@	-inf	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
3.0ms	y	@	-inf	(- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	y	@	inf	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
2.0ms	x	@	0	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)

simplify404.0ms (3.8%)

Memory

-21.4MiB live, 651.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 046×	`lower-fma.f64`
10 046×	`lower-fma.f32`
6 324×	`lower-*.f64`
6 324×	`lower-*.f32`
5 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	772	8064
1	2464	7828
0	8228	7375

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 542

Calls

Call 1

Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
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(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
x
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
x
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* 1/6 (* y z))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* 1/6 (* y z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))

Outputs
(- (cos y) (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x)))
(+ 1 x)
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(+ 1 (+ x (* -1 (* y z))))
(fma.f64 y (neg.f64 z) (+.f64 x #s(literal 1 binary64)))
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(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 z (+.f64 (sin.f64 y) (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 z (+.f64 (sin.f64 y) (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(neg.f64 (*.f64 z (+.f64 (sin.f64 y) (neg.f64 (/.f64 (+.f64 (cos.f64 y) x) z)))))
(/ 1 (- (cos y) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (/.f64 x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (neg.f64 (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (.f64 x x))) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x))) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/.f64 (-.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (fma.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (/.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (*.f64 x x)) (/.f64 (cos.f64 y) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x) (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (.f64 z (sin.f64 y)) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (neg.f64 x)))) x)) (cos.f64 y)) (neg.f64 x))) x))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 z (/.f64 #s(literal 1/6 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (neg.f64 z) (/.f64 (fma.f64 z (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (neg.f64 y) (fma.f64 z (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
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(*.f64 (neg.f64 z) (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow y 2) (pow z 2))
(.f64 z (.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(.f64 y (.f64 y (.f64 (fma.f64 (.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 z z))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 (.f64 z z) (fma.f64 (.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)))) (*.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z (.f64 z #s(literal -1/3 binary64)) (.f64 (.f64 y y) (.f64 (.f64 z z) (fma.f64 (.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))))) (.f64 z z)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite469.0ms (4.4%)

Memory

3.5MiB live, 965.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 968×	`lower-*.f32`
5 958×	`lower-*.f64`
4 752×	`lower-fma.f32`
4 740×	`lower-fma.f64`
3 074×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	232
0	74	207
1	348	185
2	3124	185
0	9135	185

Stop Event

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

Counts

22 → 877

Calls

Call 1

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

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

eval266.0ms (2.5%)

Memory: 30.7MiB live, 617.0MiB allocated
Compiler: Compiled 48 046 to 3 202 computations (93.3% saved)

prune173.0ms (1.6%)

Memory

0.4MiB live, 569.4MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 450	19	1 469
Fresh	5	3	8
Picked	3	2	5
Done	0	1	1
Total	1 458	25	1 483

Accuracy

100.0%

Counts

1 483 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f64 (-.f64 (.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
	59.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
	70.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
	62.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
	22.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (neg.f64 z))))
	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	75.4%	(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
✓	99.9%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	89.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	54.2%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	59.6%	(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	58.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
▶	75.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
▶	26.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
	42.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
	67.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
	51.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
▶	20.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
▶	9.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
	2.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
▶	75.5%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x))
	19.0%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (.f64 z (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))

Compiler

Compiled 755 to 455 computations (39.7% saved)

simplify378.0ms (3.5%)

Memory

-14.2MiB live, 981.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x))
✓	cost-diff	320	(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x)
✓	cost-diff	6784	(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(neg.f64 (sin.f64 y))
✓	cost-diff	0	(*.f64 z (neg.f64 (sin.f64 y)))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
✓	cost-diff	0	(.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓	cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
✓	cost-diff	0	#s(approx (+ x 1) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) x)
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))

Rules

16 164×	`lower-fma.f32`
16 160×	`lower-fma.f64`
4 082×	`lower-*.f32`
4 072×	`lower-*.f64`
2 162×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	278
0	81	268
1	179	266
2	424	262
3	1020	258
4	2498	256
5	5120	254
6	7948	254
0	8325	243

Stop Event

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

Calls

Call 1

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

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

localize277.0ms (2.6%)

Memory

22.8MiB live, 575.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (cos.f64 y))
✓	accuracy	99.7%	(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
✓	accuracy	99.2%	(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)))
✓	accuracy	75.6%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x))
✓	accuracy	100.0%	(neg.f64 (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (neg.f64 (sin.f64 y)))
✓	accuracy	26.1%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
✓	accuracy	99.4%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	97.0%	(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	57.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
✓	accuracy	46.0%	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
✓	accuracy	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
✓	accuracy	49.0%	#s(approx (+ x 1) #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) x)
✓	accuracy	75.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))

Samples

157.0ms	197×	0	valid
69.0ms	59×	1	valid

Compiler

Compiled 208 to 57 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 60.0ms (30.4% of total)

ival-add: 55.0ms (27.9% of total)

ival-cos: 36.0ms (18.3% of total)

ival-div: 13.0ms (6.6% of total)

ival-sin: 11.0ms (5.6% of total)

adjust: 8.0ms (4.1% of total)

ival-sub: 5.0ms (2.5% of total)

const: 4.0ms (2% of total)

ival-neg: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series26.0ms (0.2%)

Memory

-18.4MiB live, 57.6MiB allocated

Counts

19 → 420

Calls

Call 1

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

Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (cos y)>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt (+ x (cos y))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt 2>
#<alt (+ 2 (* -1 (pow y 2)))>
#<alt (+ 2 (* (pow y 2) (- (* 1/12 (pow y 2)) 1)))>
#<alt (+ 2 (* (pow y 2) (- (* (pow y 2) (+ 1/12 (* -1/360 (pow y 2)))) 1)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt (+ x (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt (* x (+ 1 (* 1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (* 1/2 (- 1/2 (* -1 (pow z 2))))) (pow z 2)))))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (+ (* 1/2 (- 1/2 (* -1 (pow z 2)))) (* y (+ (* -1/2 (+ (* -1 (* z (+ 3/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z)))) (+ (* -1/2 (+ (* -1/6 z) (+ (* 1/2 z) (* z (- 1/2 (* -1 (pow z 2))))))) (pow z 3)))))) (pow z 2)))))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* z (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))) (+ (* -1/2 (/ (pow (sin y) 3) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt x>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (/ 1 (cos y))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>
#<alt (/ (cos (* -2 y)) (cos y))>

Calls

105 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(* z (* y (+ (* y (* y 1/6)) -1)))
3.0ms	y	@	inf	(* z (* y (+ (* y (* y 1/6)) -1)))
1.0ms	z	@	0	(* z (* y (+ (* y (* y 1/6)) -1)))
1.0ms	x	@	0	(+ (* 1/2 (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))) x)
1.0ms	y	@	inf	(+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y)))

simplify392.0ms (3.7%)

Memory

16.2MiB live, 500.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 008×	`lower-fma.f64`
11 008×	`lower-fma.f32`
5 498×	`lower-*.f64`
5 498×	`lower-*.f32`
4 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	5576
1	1665	5409
2	5565	5057
0	8130	4803

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 401

Calls

Call 1

Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
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(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
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(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
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(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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x
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(- (+ x (cos y)) (* z (sin y)))
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(* -1 (* z (sin y)))
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x
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x
(* -1 (* x (- (* -1/2 (/ (+ (/ 1 (cos y)) (/ (cos (* -2 y)) (cos y))) x)) 1)))
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(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
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(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
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(+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))
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(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))
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(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
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x
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(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
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x
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
1
(+ 1 (* 1/2 (pow y 2)))
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(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
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(* 1/6 y)
(* 1/6 y)
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1
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(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))
(/ (cos (* -2 y)) (cos y))

Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 x (.f64 x (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(+.f64 x (.f64 x (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(neg.f64 (-.f64 (.f64 x (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x)) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
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(+.f64 x (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64)))
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(- (+ x (cos y)) (* z (sin y)))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
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(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
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(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(.f64 (neg.f64 z) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (-.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) z)) z)))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(.f64 (neg.f64 z) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (-.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) z)) z)) z)))
(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (fma.f64 (+.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x))
x
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (-.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (-.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (-.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (*.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
x
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 z (sin.f64 y) (cos.f64 y)))) x)) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/8 (pow y 2)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -7/80 (pow y 2)) 1/8)) 3/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -7/80 binary64) #s(literal -1/8 binary64))) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/ (cos (* -2 y)) (cos y))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))

rewrite417.0ms (3.9%)

Memory

-14.4MiB live, 503.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 032×	`lower-fma.f32`
4 028×	`lower-fma.f64`
3 692×	`lower-*.f32`
3 682×	`lower-*.f64`
3 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	249
0	81	237
1	414	212
2	3896	212
0	8949	204

Stop Event

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

Counts

19 → 252

Calls

Call 1

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

Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))
(fma.f64 #s(literal 1 binary64) x (cos.f64 y))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (cos.f64 y))
(fma.f64 (cos.f64 y) #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (neg.f64 (.f64 x x))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (neg.f64 (.f64 x x)))) (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (neg.f64 (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (neg.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) (neg.f64 x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 1/2 binary64) x))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(pow.f64 (cos.f64 y) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))
(/.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))) (neg.f64 (cos.f64 y)))
(/.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 y))))
(pow.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) (cos.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (cos.f64 (.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(.f64 (neg.f64 (cos.f64 (.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(.f64 (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))

eval89.0ms (0.8%)

Memory: 35.1MiB live, 231.0MiB allocated
Compiler: Compiled 12 602 to 1 162 computations (90.8% saved)

prune83.0ms (0.8%)

Memory

0.9MiB live, 196.0MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	689	10	699
Fresh	2	15	17
Picked	1	4	5
Done	0	3	3
Total	692	32	724

Accuracy

100.0%

Counts

724 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f64 (-.f64 (.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
	59.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
▶	70.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
	62.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
	22.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (neg.f64 z))))
▶	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
✓	99.9%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	89.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	54.2%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	59.6%	(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	58.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
▶	52.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
✓	75.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
	47.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
	48.7%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
	51.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
	19.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 y)))))
✓	26.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
▶	10.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
	30.2%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
	42.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
	67.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
✓	20.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
	2.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
	2.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
▶	43.8%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
✓	75.5%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x))
	48.7%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
	19.0%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (.f64 z (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))

Compiler

Compiled 951 to 569 computations (40.2% saved)

simplify363.0ms (3.4%)

Memory

7.2MiB live, 598.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
✓	cost-diff	192	(fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))
✓	cost-diff	192	(+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z)))
✓	cost-diff	512	(*.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64))))
✓	cost-diff	896	(-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	#s(approx (neg (sin y)) (neg.f64 y))
✓	cost-diff	0	(*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
✓	cost-diff	0	#s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))
✓	cost-diff	0	(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))

Rules

17 566×	`lower-fma.f32`
17 556×	`lower-fma.f64`
2 762×	`lower-+.f32`
2 756×	`lower-+.f64`
2 738×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	400
0	93	388
1	192	386
2	435	366
3	1157	344
4	3957	313
5	7812	313
0	8174	308

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))
x
#s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
(*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))
z
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
y
(fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z))
(+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z)))
#s(literal -3/4 binary64)
(-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))
z
(fma.f64 z z #s(literal 1/2 binary64))
(*.f64 z z)
(neg.f64 z)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (cos.f64 y) x)
(cos.f64 y)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))
x
#s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
(*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))
z
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x)))
(fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) x))
y
(fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z))
(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
(+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z)))
#s(literal -1/2 binary64)
#s(literal -3/4 binary64)
(-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64))))
(fma.f64 z z #s(literal 1/4 binary64))
#s(literal 1/2 binary64)
(fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))
(fma.f64 z (+.f64 z z) #s(literal 1/2 binary64))
z
(fma.f64 z z #s(literal 1/2 binary64))
(*.f64 z z)
(neg.f64 z)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 x x)
x
(-.f64 (cos.f64 y) x)
(cos.f64 y)

localize223.0ms (2.1%)

Memory

-3.9MiB live, 318.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	77.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
✓	accuracy	76.2%	(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))
✓	accuracy	60.8%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	53.4%	(-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	49.1%	#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))
✓	accuracy	54.1%	#s(approx (neg (sin y)) (neg.f64 y))
✓	accuracy	26.4%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))
✓	accuracy	99.8%	(*.f64 z (neg.f64 (sin.f64 y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
✓	accuracy	36.5%	#s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))

Samples

111.0ms	121×	1	valid
48.0ms	128×	0	valid
3.0ms	6×	1	exit
1.0ms	1×	3	valid

Compiler

Compiled 333 to 46 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-cos: 32.0ms (24.4% of total)

ival-mult: 21.0ms (16% of total)

adjust: 19.0ms (14.5% of total)

ival-add: 17.0ms (13% of total)

ival-sin: 15.0ms (11.5% of total)

ival-div: 12.0ms (9.2% of total)

ival-sub: 9.0ms (6.9% of total)

ival-neg: 5.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-7.1MiB live, 30.5MiB allocated

Counts

23 → 528

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))>
#<alt (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))>
#<alt #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))>
#<alt #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))>
#<alt (*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))>
#<alt #s(approx (neg (sin y)) (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z)))>
#<alt (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))>
#<alt #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))>
#<alt (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))>
#<alt (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))>
#<alt (*.f64 z (neg.f64 (sin.f64 y)))>
#<alt #s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))>
#<alt (neg.f64 z)>
#<alt (cos.f64 y)>

Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
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#<alt (+ 1/2 (* 2 (pow z 2)))>
#<alt (+ 1/2 (* 2 (pow z 2)))>
#<alt (* 2 (pow z 2))>
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#<alt (* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ (- 1 (pow x 2)) (- 1 x))>
#<alt (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (- (+ (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- (* 1/3 (/ 1 (- 1 x))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))))) (- 1 x))) (+ (* -1/24 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x))) (+ (* -1/720 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 2/45 (/ 1 (- 1 x)))))))) (* 1/3 (/ 1 (- 1 x)))) (+ (* 1/24 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (* 1/2 (/ (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))) (- 1 x)))))) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2)) (- (cos y) x))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 4))) (/ 1 (pow (cos y) 2))))) (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 3))) (/ 1 (cos y))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))))) (* 1/2 (/ 1 (cos y)))))>
#<alt x>
#<alt (* x (+ 1 (/ (cos y) x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))>
#<alt (- 1 (pow x 2))>
#<alt (- (+ 1 (* -1 (pow y 2))) (pow x 2))>
#<alt (- (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (pow x 2))>
#<alt (- (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (pow x 2))>
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#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (pow x 2))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
#<alt (+ 1/2 (+ (* -1 (pow x 2)) (* 1/2 (cos (* 2 y)))))>
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#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))>
#<alt (* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (* 1/2 (- 1/2 (* -1 (pow z 2))))) (pow z 2)))))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* y (- (+ (* -1/2 (+ 3/2 (* -1 (pow z 2)))) (+ (* 1/2 (- 1/2 (* -1 (pow z 2)))) (* y (+ (* -1/2 (+ (* -1 (* z (+ 3/2 (* -1 (pow z 2))))) (+ (* -1/6 z) (* 1/2 z)))) (+ (* -1/2 (+ (* -1/6 z) (+ (* 1/2 z) (* z (- 1/2 (* -1 (pow z 2))))))) (pow z 3)))))) (pow z 2)))))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (neg (* -2 y))) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (+ x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (+ (* -1/2 (/ (sin y) (pow (cos y) 2))) (+ (* -1/2 (/ (* (cos (* 2 y)) (sin y)) (pow (cos y) 2))) (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (cos (* 2 y)) (pow (sin y) 2)) (pow (cos y) 3))) (+ (* 1/2 (/ (pow (sin y) 2) (pow (cos y) 3))) (* z (+ (* -1/2 (/ (* (cos (* 2 y)) (pow (sin y) 3)) (pow (cos y) 4))) (+ (* -1/2 (/ (pow (sin y) 3) (pow (cos y) 4))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))))) (* 1/2 (/ 1 (cos y)))))))))))>
#<alt (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ x z)))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* -1/2 (/ (cos y) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (* (pow z 3) (pow (sin y) 4)))) (+ (* -1/2 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos y) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 2) (sin y)))) (+ (* 1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (* (pow z 2) (sin y)))) (/ x z)))))))))))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))>
#<alt (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt (- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))>
#<alt x>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(- (* 1/2 (+ (* z z) (+ (* z z) 1/2))) (* z z))
1.0ms	y	@	0	(/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x))
1.0ms	y	@	inf	(/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x))
1.0ms	y	@	-inf	(/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x))
1.0ms	x	@	0	(/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x))

simplify390.0ms (3.6%)

Memory

0.6MiB live, 523.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 912×	`lower-fma.f64`
8 912×	`lower-fma.f32`
5 282×	`lower-*.f64`
5 282×	`lower-*.f32`
4 718×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	7877
1	2211	7630
2	7423	7546
0	8187	7218

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 514

Calls

Call 1

Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(- (cos y) (* z (sin y)))
(cos y)
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (sin y)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
1/4
(+ 1/4 (pow z 2))
(+ 1/4 (pow z 2))
(+ 1/4 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 1 (* 1/4 (/ 1 (pow z 2)))))
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
1/2
(+ 1/2 (* 2 (pow z 2)))
(+ 1/2 (* 2 (pow z 2)))
(+ 1/2 (* 2 (pow z 2)))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(* (pow z 2) (+ 2 (* 1/2 (/ 1 (pow z 2)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ (- 1 (pow x 2)) (- 1 x))
(- (+ (* -1 (* (pow y 2) (+ (* -1/2 (/ (- 1 (pow x 2)) (pow (- 1 x) 2))) (/ 1 (- 1 x))))) (/ 1 (- 1 x))) (/ (pow x 2) (- 1 x)))
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(cos y)
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(cos y)
(cos y)
(cos y)
(cos y)

Outputs
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(neg.f64 (.f64 z (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 y) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) z)) z))))
(* -1 (* z (+ (* -1 (/ (+ x (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (cos y) (pow (sin y) 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (+ (* -1/2 (/ (* (pow (cos y) 3) (cos (* 2 y))) (pow (sin y) 4))) (* 1/2 (/ (pow (cos y) 3) (pow (sin y) 4)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* (pow (cos y) 2) (cos (* 2 y))) (pow (sin y) 3))) (* 1/2 (/ (pow (cos y) 2) (pow (sin y) 3)))))) (* 1/2 (/ 1 (sin y)))) z)) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow (sin y) 2))) (* 1/2 (/ (cos y) (pow (sin y) 2)))))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(neg.f64 (.f64 z (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 y) #s(literal -1/2 binary64)) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z)) z))))
(- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(+.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(+.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(- (+ x (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(+.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))))
x
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
(* x (- (+ 1 (+ (* 1/2 (/ (cos (* 2 y)) (* x (+ (cos y) (* z (sin y)))))) (/ 1/2 (* x (+ (cos y) (* z (sin y))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
x
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) x))))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) x))))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ 1 (+ (cos y) (* z (sin y))))) (* 1/2 (/ (cos (* 2 y)) (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 z z) (fma.f64 z (sin.f64 y) (cos.f64 y))))) x))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

rewrite771.0ms (7.2%)

Memory

-2.6MiB live, 467.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 714×	`lower-*.f32`
6 704×	`lower-*.f64`
5 408×	`lower-fma.f32`
5 398×	`lower-fma.f64`
3 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	311
0	93	297
1	435	246
2	3706	246
0	10517	239

Stop Event

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

Counts

23 → 400

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))
#s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
(*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64))))
(+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z)))
(fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(*.f64 z (neg.f64 (sin.f64 y)))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(neg.f64 z)
(cos.f64 y)

Outputs
(+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 x (.f64 #s(literal 1 binary64) #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(+.f64 x (.f64 #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) x)
(+.f64 (.f64 #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)) x)
(exp.f64 (log.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(exp.f64 (.f64 (log.f64 (+.f64 x #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))))) (/.f64 (pow.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) #s(literal 2 binary64)) (-.f64 x #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(fma.f64 #s(literal 1 binary64) x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1 binary64) #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)
(fma.f64 x #s(literal 1 binary64) #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1 binary64) #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 1 binary64) x)
(neg.f64 (neg.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) (-.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) x))) (fma.f64 x (.f64 x x) (pow.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (- (cos y) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (.f64 x x) (pow.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) #s(literal 2 binary64)))))
(/.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (neg.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))) #s(literal -1 binary64))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 x x (.f64 #s(approx (- (cos y) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) (-.f64 #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 x #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (-.f64 #s(literal 1/2 binary64) (.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(*.f64 (+.f64 x (cos.f64 y)) (-.f64 (cos.f64 y) x))
(.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (cos.f64 y))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/4 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 (neg.f64 (sin.f64 y)) z)
(*.f64 (neg.f64 z) (sin.f64 y))
(.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y)))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 z (+.f64 z z) #s(literal 1/2 binary64)) (fma.f64 z (neg.f64 z) #s(literal -3/4 binary64))) (neg.f64 z)) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
(/.f64 (neg.f64 (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) z)
(cos.f64 y)

eval175.0ms (1.6%)

Memory: 16.2MiB live, 186.1MiB allocated
Compiler: Compiled 20 739 to 1 908 computations (90.8% saved)

prune310.0ms (2.9%)

Memory

-16.5MiB live, 144.4MiB allocated

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	908	6	914
Fresh	4	16	20
Picked	2	3	5
Done	2	5	7
Total	916	30	946

Accuracy

100.0%

Counts

946 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f64 (-.f64 (.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
	35.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
	62.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
	22.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)))
✓	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	26.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
✓	99.9%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
	54.2%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	71.0%	(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)
	35.4%	(.f64 (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	58.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
	52.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x)))
✓	75.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
	47.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
	48.7%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
	51.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
	19.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 y)))))
✓	26.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
✓	10.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
	30.2%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
	42.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
	67.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	65.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
✓	20.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
	2.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
	2.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
✓	43.8%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
	48.7%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
	19.0%	#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (.f64 z (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))

Compiler

Compiled 1 172 to 462 computations (60.6% saved)

regimes119.0ms (1.1%)

Memory

14.4MiB live, 127.5MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (sin.f64 y)))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 (*.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (.f64 z (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(-.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))) (*.f64 z (sin.f64 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(approx (- (cos y) ( z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) (neg.f64 z))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Calls

4 calls:

69.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms	z
16.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.4%)

Memory

-4.1MiB live, 116.6MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 z (neg.f64 (sin.f64 y)))))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs

(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))

Calls

4 calls:

12.0ms	x
10.0ms	z
10.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms	y

Results

Accuracy	Segments	Branch
99.3%	3	`x`
89.2%	1	`y`
99.5%	3	`z`
99.6%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.3%)

Memory

-16.1MiB live, 60.4MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)

Outputs

(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

(+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)

Calls

3 calls:

9.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
81.2%	3	`x`
91.3%	3	`z`
98.9%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes25.0ms (0.2%)

Memory

19.5MiB live, 59.0MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z (neg.f64 (sin.f64 y))))

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Calls

3 calls:

8.0ms	y
8.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms	z

Results

Accuracy	Segments	Branch
85.6%	3	`z`
82.8%	3	`y`
75.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes22.0ms (0.2%)

Memory

-23.6MiB live, 25.1MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

Calls

2 calls:

13.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
82.8%	3	`y`
80.3%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.3%)

Memory

11.1MiB live, 50.2MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))

#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y)))

#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))

Calls

4 calls:

10.0ms	x
7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
7.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
77.6%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
75.0%	3	`x`
70.1%	2	`z`
72.5%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory

15.1MiB live, 53.4MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z)) (*.f64 y #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 #s(literal 1/2 binary64) #s(approx (+ (/ 1 (cos y)) (/ (cos (* y -2)) (cos y))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (-.f64 #s(literal 1 binary64) (*.f64 y z))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
#s(approx (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x) (fma.f64 y (fma.f64 y (+.f64 #s(literal -3/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 z z (fma.f64 z z #s(literal 1/2 binary64)))) (.f64 z z))) (neg.f64 z)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (fma.f64 y (/.f64 z (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))))

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

Calls

3 calls:

8.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
72.5%	3	`y`
71.5%	3	`x`
67.2%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0%)

Memory

-29.3MiB live, 8.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
72.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))

Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y))))

Calls

4 calls:

2.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
65.3%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
65.3%	1	`x`
67.4%	2	`z`
65.3%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.3%	1	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.3%)

Memory

-22.2MiB live, 17.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

Calls

4 calls:

29.0ms	y
1.0ms	z
1.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	x

Results

Accuracy	Segments	Branch
20.6%	1	`x`
20.6%	1	`y`
20.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
20.6%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9812993543865846	0.9999999308511386
0.0ms	-1666679377562.662	-14090434.65958473

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	365624270486245.44	1.292820756686932e+19
0.0ms	-1666679377562.662	-14090434.65958473

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch38.0ms (0.4%)

Memory

28.5MiB live, 67.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.905194513742182e+152	6.724355495847453e+155
10.0ms	-3.860608597732769e+224	-1.3493245665913189e+224

Samples

28.0ms

208×

valid

Compiler

Compiled 262 to 183 computations (30.2% saved)

Precisions

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

ival-sin: 14.0ms (62.5% of total)

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

ival-sub: 1.0ms (4.5% of total)

ival-add: 1.0ms (4.5% of total)

ival-mult: 1.0ms (4.5% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-19.8MiB live, 102.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.2287225423087196e-7	3378.860185238779
21.0ms	-7.12760808663347e+52	-2.2204227299298035e+50

Samples

27.0ms

288×

valid

Compiler

Compiled 447 to 302 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 7.0ms (35.5% of total)

ival-sin: 6.0ms (30.4% of total)

ival-add: 3.0ms (15.2% of total)

ival-mult: 3.0ms (15.2% of total)

ival-sub: 1.0ms (5.1% of total)

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

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

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9812993543865846	0.9999999308511386
0.0ms	-14090434.65958473	-0.9999856723343084

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch32.0ms (0.3%)

Memory

-11.5MiB live, 66.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4373837124745905.0	7774575052432688.0
20.0ms	-4.6253489972594514e+20	-504788340732114800.0

Samples

23.0ms

192×

valid

Compiler

Compiled 291 to 206 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 8.0ms (44.7% of total)

ival-cos: 7.0ms (39.1% of total)

ival-sub: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

ival-mult: 1.0ms (5.6% of total)

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

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

bsearch41.0ms (0.4%)

Memory

12.8MiB live, 92.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.6133441433623677e+67	6.826119479136539e+71
18.0ms	-4.6253489972594514e+20	-504788340732114800.0

Samples

26.0ms

240×

valid

Compiler

Compiled 319 to 222 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 8.0ms (39.7% of total)

ival-sin: 8.0ms (39.7% of total)

ival-mult: 2.0ms (9.9% of total)

ival-sub: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

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

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

bsearch16.0ms (0.2%)

Memory

1.4MiB live, 39.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8982841916142878e+205	4.162828984400095e+207

Samples

11.0ms

112×

valid

Compiler

Compiled 141 to 98 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 2.0ms (32.1% of total)

ival-sin: 2.0ms (32.1% of total)

ival-add: 1.0ms (16.1% of total)

ival-mult: 1.0ms (16.1% of total)

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

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

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

simplify12.0ms (0.1%)

Memory

-9.2MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
18×	`*-commutative_binary64`
18×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	497
1	120	497
2	138	497
3	145	497
4	147	497

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -820000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4400000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3500000000000000278703790729502960092112416403466174369613974221786693130728237571060147771546887876866201464585798708279933145574155543116912665395726850357800876760510786406934659527026237807766096930930688 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 x #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) x) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (+.f64 #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) x)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000000000 binary64)) (+.f64 x #s(approx (- (cos y) ( z (sin y))) (.f64 (sin.f64 y) (neg.f64 z)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 500000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (+.f64 x #s(approx (- (cos y) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 z #s(literal -134999999999999992807008869416731225926484980280336045169135113384444654792105546384294437018216071506723710152304052390772622075430636811986018302758689344254191960787178284553635717412856802630012138112024760864613714624512 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x (cos.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -820000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 4400000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -275000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal 3500000000000000278703790729502960092112416403466174369613974221786693130728237571060147771546887876866201464585798708279933145574155543116912665395726850357800876760510786406934659527026237807766096930930688 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 z #s(approx (neg (sin y)) (neg.f64 y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))

soundness1.3s (11.8%)

Memory

21.8MiB live, 1 026.4MiB allocated

Rules

12 396×	`lower-fma.f64`
12 396×	`lower-fma.f32`
11 008×	`lower-fma.f64`
11 008×	`lower-fma.f32`
10 046×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	311
0	93	297
1	435	246
2	3706	246
0	10517	239
0	8	21
0	13	21
1	47	21
2	388	21
3	5630	21
0	8225	21
0	539	5576
1	1665	5409
2	5565	5057
0	8130	4803
0	772	8064
1	2464	7828
0	8228	7375
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629

Stop Event

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

Compiler

Compiled 659 to 276 computations (58.1% saved)

preprocess99.0ms (0.9%)

Memory: 4.2MiB live, 121.7MiB allocated
Compiler: Compiled 564 to 144 computations (74.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

analyze0.0ms (0%)

sample1.4s (13.2%)

preprocess96.0ms (0.9%)

explain113.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.2%)

localize38.0ms (0.4%)

series6.0ms (0.1%)

simplify424.0ms (4%)

rewrite415.0ms (3.9%)

eval56.0ms (0.5%)

prune61.0ms (0.6%)

simplify598.0ms (5.6%)

localize279.0ms (2.6%)

series69.0ms (0.6%)

simplify404.0ms (3.8%)

rewrite469.0ms (4.4%)

eval266.0ms (2.5%)

prune173.0ms (1.6%)

simplify378.0ms (3.5%)

localize277.0ms (2.6%)

series26.0ms (0.2%)

simplify392.0ms (3.7%)

rewrite417.0ms (3.9%)

eval89.0ms (0.8%)

prune83.0ms (0.8%)

simplify363.0ms (3.4%)

localize223.0ms (2.1%)

series20.0ms (0.2%)

simplify390.0ms (3.6%)

rewrite771.0ms (7.2%)

eval175.0ms (1.6%)

prune310.0ms (2.9%)

regimes119.0ms (1.1%)

regimes43.0ms (0.4%)

regimes27.0ms (0.3%)

regimes25.0ms (0.2%)

regimes22.0ms (0.2%)

regimes31.0ms (0.3%)

regimes22.0ms (0.2%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes33.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch0.0ms (0%)

bsearch32.0ms (0.3%)

bsearch41.0ms (0.4%)

bsearch16.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.3s (11.8%)

preprocess99.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24