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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.1s (9.4%)

Memory

58.2MiB live, 2 548.4MiB allocated

Samples

848.0ms	8 252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 636.0ms

ival-cos: 292.0ms (45.9% of total)

ival-sin: 191.0ms (30% of total)

ival-mult: 59.0ms (9.3% of total)

ival-add: 43.0ms (6.8% of total)

ival-sub: 42.0ms (6.6% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess87.0ms (0.7%)

Memory

-44.4MiB live, 85.0MiB 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))

explain124.0ms (1.1%)

Memory

20.3MiB live, 136.5MiB 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

62.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 17.0ms (45.5% of total)

ival-sin: 11.0ms (29.5% of total)

ival-mult: 4.0ms (10.7% of total)

ival-add: 3.0ms (8% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify33.0ms (0.3%)

Memory

-16.7MiB live, 18.5MiB 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 (0.3%)

Memory

16.5MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (38.4% of total)

ival-sin: 5.0ms (32% of total)

ival-mult: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

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

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

series6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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	y	@	inf	(- (+ x (cos y)) (* z (sin y)))
0.0ms	z	@	0	(- (+ x (cos y)) (* z (sin y)))
0.0ms	y	@	-inf	(- (+ x (cos y)) (* z (sin y)))

simplify362.0ms (3.1%)

Memory

-9.0MiB live, 478.6MiB 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)

rewrite294.0ms (2.5%)

Memory

-4.2MiB live, 516.2MiB 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)

eval35.0ms (0.3%)

Memory: 7.1MiB live, 80.3MiB allocated
Compiler: Compiled 7 525 to 622 computations (91.7% saved)

prune41.0ms (0.4%)

Memory

9.7MiB live, 93.3MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	277	14	291
Fresh	0	0	0
Picked	1	0	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
	69.4%	(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)
	52.3%	(/.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))))
	63.2%	(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
▶	74.8%	(-.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)))
	55.6%	(-.f64 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (.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))))
▶	87.5%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	58.4%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	54.8%	#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))))
	61.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
	69.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
▶	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
▶	54.2%	#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)))
	30.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 488 to 296 computations (39.3% saved)

simplify390.0ms (3.4%)

Memory

-2.5MiB live, 384.4MiB 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	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 (-.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)))
✓	cost-diff	128	(/.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	(*.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

14 232×	`lower-fma.f32`
14 224×	`lower-fma.f64`
2 816×	`lower-*.f32`
2 810×	`lower-*.f64`
1 924×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	262
0	68	258
1	134	258
2	288	258
3	588	258
4	1190	258
5	2638	258
6	4810	258
7	6686	258
8	7381	258
9	7593	258
10	7650	258
11	7672	258
12	7680	258
13	7776	258
14	7996	258
0	8044	254

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
(-.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 (-.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)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

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

localize147.0ms (1.3%)

Memory

-9.9MiB live, 203.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.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)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	74.7%	(/.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%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	54.7%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	100.0%	(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	54.2%	#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	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (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

96.0ms

256×

valid

Compiler

Compiled 251 to 37 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 26.0ms (34.3% of total)

ival-cos: 12.0ms (15.8% of total)

ival-add: 10.0ms (13.2% of total)

const: 10.0ms (13.2% of total)

ival-sin: 6.0ms (7.9% of total)

ival-div: 5.0ms (6.6% of total)

ival-sub: 5.0ms (6.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

16.9MiB live, 57.4MiB allocated

Counts

21 → 552

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 (-.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 (-.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)))>
#<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 #s(literal 1/6 binary64))>
#<alt (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))>
#<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 (/ 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))))))>
#<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 (- (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>
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#<alt x>
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#<alt x>
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#<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)))))>
#<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 (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 (* 1/6 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 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

138 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(cos y)
3.0ms	y	@	inf	(/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x))
2.0ms	y	@	inf	(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))
2.0ms	y	@	-inf	(- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y)))
2.0ms	y	@	0	(+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x))

simplify370.0ms (3.2%)

Memory

17.7MiB live, 519.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 348×	`lower-fma.f64`
8 348×	`lower-fma.f32`
5 392×	`lower-*.f64`
5 392×	`lower-*.f32`
4 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	7509
1	2346	7317
2	7570	7295
0	8142	6936

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 528

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
(+ 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)))
(+ 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)))
(- (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)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 y))))
(+ 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) (/ 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 (/ x y))) y)) 1/2) y)) (* -1/6 z))))
(+ x (* -1/2 (pow y 2)))
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 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)) (/ x z))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
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y
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(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)

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

rewrite703.0ms (6%)

Memory

1.9MiB live, 554.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 330×	`lower-*.f32`
5 324×	`lower-*.f64`
3 998×	`lower-fma.f32`
3 990×	`lower-fma.f64`
3 288×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	210
0	68	194
1	326	176
2	2926	176
0	8646	176

Stop Event

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

Counts

21 → 874

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 (-.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 (-.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 (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 #s(literal 1/6 binary64))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(sin.f64 y)

Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(+.f64 x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (cos.f64 y) (+.f64 x (neg.f64 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (sin.f64 y)))))
(+.f64 (neg.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) x)
(+.f64 (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1 binary64)) x)
(+.f64 (.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 z (sin.f64 y))) #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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 (.f64 x x) (-.f64 (cos.f64 y) x)) (neg.f64 (.f64 z (sin.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)) (fma.f64 x (/.f64 x (-.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y))))
(-.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 (-.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 (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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (sin.f64 y)))))
(fma.f64 x #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.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 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) x)
(fma.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 y) x))) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 y) x))) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.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))) (neg.f64 (*.f64 z (sin.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 #s(literal 1 binary64) (neg.f64 (.f64 z (sin.f64 y)))))
(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 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) #s(literal -1 binary64)) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(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))) (neg.f64 (.f64 z (sin.f64 y))))
(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 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (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))) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (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 #s(literal 1 binary64) (neg.f64 (*.f64 z (sin.f64 y)))))
(fma.f64 (/.f64 (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)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (/.f64 (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)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (+.f64 x (cos.f64 y)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 z (sin.f64 y)))))
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(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow.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))))) (-.f64 #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) (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 #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 z #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) z)
(+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))
(+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64)) (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 z (*.f64 #s(literal 1/6 binary64) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y z) #s(literal -1/2 binary64))
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) y #s(literal -1/2 binary64))
(fma.f64 (*.f64 y z) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) z #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) #s(literal -1/12 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64)) (.f64 (*.f64 y z) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64)) (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) #s(literal -1/12 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y z) #s(literal -1/12 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(sin.f64 y)

eval400.0ms (3.4%)

Memory: -1.6MiB live, 352.9MiB allocated
Compiler: Compiled 44 481 to 3 032 computations (93.2% saved)

prune310.0ms (2.7%)

Memory

-28.2MiB live, 304.5MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 455	23	1 478
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	1 465	27	1 492

Accuracy

100.0%

Counts

1 492 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(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))
▶	39.8%	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
	54.0%	(/.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))))))
▶	41.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	30.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
✓	87.5%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	52.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
	54.1%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
	58.3%	(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))) (.f64 z (sin.f64 y)))
	58.4%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	58.9%	(*.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)))
	39.8%	(.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
	69.4%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (+.f64 (cos.f64 y) x))
	30.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z)))
▶	93.2%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))
	74.8%	#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 z (sin.f64 y) (/.f64 (.f64 x x) (-.f64 (cos.f64 y) x))))))
	61.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
	53.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
	44.3%	#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
	44.7%	#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)))
	61.6%	#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)) (neg.f64 z)) x)))
	36.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
▶	18.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
	12.8%	#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))))))
	2.4%	#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 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))))
▶	44.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))

Compiler

Compiled 937 to 537 computations (42.7% saved)

simplify747.0ms (6.4%)

Memory

13.0MiB live, 487.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	cost-diff	0	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(-.f64 (.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))
✓	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)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
✓	cost-diff	128	(-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))
✓	cost-diff	128	(neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))
✓	cost-diff	1344	(.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) 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	#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	(/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))
✓	cost-diff	1024	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))

Rules

12 362×	`lower-fma.f32`
12 354×	`lower-fma.f64`
3 064×	`lower--.f32`
3 058×	`lower--.f64`
2 676×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	478
0	98	451
1	210	451
2	462	449
3	1295	445
4	3458	439
5	6636	439
0	8267	415

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

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

localize350.0ms (3%)

Memory

-12.9MiB live, 445.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))
✓	accuracy	75.8%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	63.5%	(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
✓	accuracy	54.7%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	94.5%	(/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z)
✓	accuracy	88.7%	(-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))
✓	accuracy	85.7%	(.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z)))
✓	accuracy	54.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) 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	41.1%	#s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
✓	accuracy	48.2%	#s(approx (+ x 1) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))
✓	accuracy	99.9%	(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
✓	accuracy	99.7%	(/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)
✓	accuracy	93.2%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))

Samples

101.0ms	133×	0	valid
69.0ms	72×	1	valid
54.0ms	49×	2	valid
3.0ms	2×	3	valid

Compiler

Compiled 381 to 58 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-cos: 49.0ms (26% of total)

ival-add: 43.0ms (22.9% of total)

ival-mult: 32.0ms (17% of total)

adjust: 24.0ms (12.8% of total)

ival-div: 14.0ms (7.4% of total)

ival-sub: 9.0ms (4.8% of total)

const: 7.0ms (3.7% of total)

ival-sin: 6.0ms (3.2% of total)

ival-neg: 4.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory

17.2MiB live, 134.5MiB allocated

Counts

21 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
25.0ms	z	@	-inf	(/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y))))
10.0ms	y	@	inf	(* x (+ 1 (/ (+ (* z (neg (sin y))) (cos y)) x)))
2.0ms	x	@	inf	(* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))
2.0ms	y	@	0	(- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)))
1.0ms	z	@	0	(* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))

simplify399.0ms (3.4%)

Memory

-21.0MiB live, 731.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 322×	`lower-fma.f64`
8 322×	`lower-fma.f32`
5 800×	`lower-*.f64`
5 800×	`lower-*.f32`
5 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	881	10057
1	2866	9550
0	8294	9112

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 608

Calls

Call 1

Inputs
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* x (+ 1 (/ (cos y) x)))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* x (+ 1 (/ 1 x)))
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x))))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y))))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos 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
(* 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) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(* -1 (/ (* z (sin y)) x))
(* z (+ (* -1 (/ (sin y) x)) (+ (/ 1 z) (/ (cos y) (* x z)))))
(* z (+ (* -1 (/ (sin y) x)) (+ (/ 1 z) (/ (cos y) (* x z)))))
(* z (+ (* -1 (/ (sin y) x)) (+ (/ 1 z) (/ (cos y) (* x z)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(+ 1 (/ 1 x))
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))
(+ 1 (+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)))
(+ 1 (+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x)
1
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
1
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(/ (cos y) x)
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))
(* -1 (/ (* z (sin y)) x))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* z (+ (* -1 (/ (sin y) x)) (/ (cos y) (* x z))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (cos y) (* x z))) (/ (sin y) x))))
(/ 1 x)
(+ (* -1 (/ (* y z) x)) (/ 1 x))
(+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x))
(+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x))
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* z (sin y)))) x)
(/ (+ (cos y) (* -1 (* 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
(* 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 (- (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)
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(* z (- (+ (* -1 (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow (+ x (cos y)) 2) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))
(* z (- (+ (* -1 (/ (* (+ x (cos y)) (- (/ (pow (+ x (cos y)) 2) (sin y)) (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow (+ x (cos y)) 2) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))
(/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))
(* -1 (* z (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (cos y)) 2) (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (pow (+ x (cos y)) 2) (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3)))) (* z (sin y)))) (* -1 (/ (pow (+ x (cos y)) 2) (sin y)))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))
(pow (cos y) 2)
(+ (* 2 (* x (cos y))) (pow (cos y) 2))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))
(pow (+ 1 x) 2)
(+ (* -1 (* (pow y 2) (+ 1 x))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (* 1/12 (+ 1 x)))))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) 1/24))))))) (pow (+ 1 x) 2))
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(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 (+ (* -1 (sin y)) (/ (cos y) z)))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(* z (+ (* -1 (sin y)) (/ (cos y) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (cos y) z)))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* y (+ (* -1 z) (* -1/2 y))))
(+ 1 (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(+ (cos y) (* -1 (* z (sin y))))
(/ (+ 1 (* -1/2 (pow y 2))) z)
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(/ x z)
(* x (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))))
(* x (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))))
(* x (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z)))))
(/ x z)
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) x)) (/ 1 z))))
(/ (+ 1 x) z)
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(* -1/2 (/ (pow y 2) z))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(* -1/2 (/ (pow y 2) z))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(* (pow y 2) (- (+ (/ 1 (* (pow y 2) z)) (/ x (* (pow y 2) z))) (* 1/2 (/ 1 z))))
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
(/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)
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)
(* (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))))))
(* (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)))))

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

rewrite386.0ms (3.3%)

Memory

38.2MiB live, 860.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 564×	`lower-fma.f32`
4 556×	`lower-fma.f64`
4 164×	`lower-*.f32`
4 146×	`lower-*.f64`
3 214×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	345
0	98	317
1	470	295
2	4235	287
0	8264	285

Stop Event

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

Counts

21 → 507

Calls

Call 1

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

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

eval215.0ms (1.8%)

Memory: 16.1MiB live, 446.5MiB allocated
Compiler: Compiled 31 916 to 2 558 computations (92% saved)

prune148.0ms (1.3%)

Memory

-50.9MiB live, 300.6MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 127	14	1 141
Fresh	6	14	20
Picked	3	2	5
Done	0	2	2
Total	1 136	32	1 168

Accuracy

100.0%

Counts

1 168 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(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))
	54.0%	(/.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))))))
✓	41.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	30.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
✓	87.5%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	52.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
	54.1%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
	58.4%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	40.1%	(.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))
	20.8%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y)))
▶	69.4%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 (cos.f64 y) x))
▶	93.2%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x)) (neg.f64 x))))
	30.6%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (*.f64 (sin.f64 y) (neg.f64 z)))
	57.8%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
	82.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 1 binary64))))))
	24.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
	56.1%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
	61.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
	53.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
	44.3%	#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
	44.7%	#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)))
	61.6%	#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)) (neg.f64 z)) x)))
	36.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
✓	18.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
	12.8%	#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))))))
▶	35.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
▶	28.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
	45.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
	48.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
▶	41.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
	2.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y)))))))

Compiler

Compiled 964 to 569 computations (41% saved)

simplify295.0ms (2.5%)

Memory

34.9MiB live, 384.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) x)
✓	cost-diff	0	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 (cos.f64 y) x))
✓	cost-diff	0	(neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))
✓	cost-diff	0	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z))))))
✓	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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
✓	cost-diff	128	(/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z))
✓	cost-diff	0	(.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z))))
✓	cost-diff	0	(neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))
✓	cost-diff	0	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z))))))
✓	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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
✓	cost-diff	0	#s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x))
✓	cost-diff	0	(neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))
✓	cost-diff	0	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x))))
✓	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)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
✓	cost-diff	128	(/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x))
✓	cost-diff	128	(neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x)) (neg.f64 x)))
✓	cost-diff	1024	(fma.f64 x (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x)) (neg.f64 x))
✓	cost-diff	6784	(-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))

Rules

10 260×	`lower-fma.f32`
10 254×	`lower-fma.f64`
2 842×	`lower-*.f32`
2 834×	`lower-*.f64`
2 138×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	790
0	100	756
1	228	736
2	549	735
3	1567	703
4	5445	698
0	8139	654

Stop Event

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

Calls

Call 1

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

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

localize316.0ms (2.7%)

Memory

6.3MiB live, 404.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (cos.f64 y) x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	69.4%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 (cos.f64 y) x))
✓	accuracy	94.5%	(/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z))
✓	accuracy	85.7%	(.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z))))
✓	accuracy	58.5%	#s(approx (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))
✓	accuracy	54.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
✓	accuracy	100.0%	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z))))))
✓	accuracy	85.7%	(.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z))))
✓	accuracy	54.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
✓	accuracy	28.2%	#s(approx (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	#s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x))))
✓	accuracy	54.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
✓	accuracy	27.5%	#s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x))
✓	accuracy	100.0%	(-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
✓	accuracy	99.9%	(fma.f64 z (sin.f64 y) (cos.f64 y))
✓	accuracy	99.7%	(/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x))
✓	accuracy	93.2%	(fma.f64 x (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x)) (neg.f64 x))

Samples

162.0ms	210×	0	valid
61.0ms	46×	1	valid

Compiler

Compiled 472 to 60 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-add: 69.0ms (34.8% of total)

ival-cos: 39.0ms (19.7% of total)

ival-mult: 28.0ms (14.1% of total)

adjust: 27.0ms (13.6% of total)

ival-div: 9.0ms (4.5% of total)

const: 7.0ms (3.5% of total)

ival-sub: 6.0ms (3% of total)

ival-sin: 6.0ms (3% of total)

ival-neg: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series32.0ms (0.3%)

Memory

-13.6MiB live, 62.1MiB allocated

Counts

24 → 780

Calls

Call 1

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

Outputs
#<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 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- (* 2 (cos y)) (cos y))>
#<alt (- (+ (* -1 (* z (sin y))) (* 2 (cos y))) (cos y))>
#<alt (- (+ (* -1 (* z (sin y))) (* 2 (cos y))) (cos y))>
#<alt (- (+ (* -1 (* z (sin y))) (* 2 (cos y))) (cos y))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (* 2 (/ (cos y) z)) (+ (sin y) (/ (cos y) z))))>
#<alt (* z (- (* 2 (/ (cos y) z)) (+ (sin y) (/ (cos y) z))))>
#<alt (* z (- (* 2 (/ (cos y) z)) (+ (sin y) (/ (cos y) z))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* 2 (cos y)) (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* 2 (cos y)) (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (* 2 (cos y)) (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))))>
#<alt (+ (* -1 x) (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (+ (* -1 x) (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (+ (* -1 x) (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x)) 1))>
#<alt (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x)) 1))>
#<alt (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))))>
#<alt (* -1 (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))))>
#<alt (* -1 (+ 1 x))>
#<alt (- (* y z) (+ 1 x))>
#<alt (- (* y (+ z (* 1/2 y))) (+ 1 x))>
#<alt (- (* y (+ z (* y (+ 1/2 (* -1/6 (* y z)))))) (+ 1 x))>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))) x)>
#<alt (- (* -1 (- (* 2 (cos y)) (cos y))) x)>
#<alt (- (+ (* -1 (- (* 2 (cos y)) (cos y))) (* z (sin y))) x)>
#<alt (- (+ (* -1 (- (* 2 (cos y)) (cos y))) (* z (sin y))) x)>
#<alt (- (+ (* -1 (- (* 2 (cos y)) (cos y))) (* z (sin y))) x)>
#<alt (* z (sin y))>
#<alt (* z (- (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z))) (/ x z)))>
#<alt (* z (- (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z))) (/ x z)))>
#<alt (* z (- (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z))) (/ x z)))>
#<alt (* z (sin y))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (- (* 2 (cos y)) (cos y))) x) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (- (* 2 (cos y)) (cos y))) x) z)))))>
#<alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (- (* 2 (cos y)) (cos y))) x) z)))))>
#<alt (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt x>
#<alt (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt (* x (- (+ 1 (* 2 (/ (cos y) x))) (+ (/ (cos y) x) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2 (cos y)) (+ (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 (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (+ (cos y) (* z (sin y))))))>
#<alt (- x (* -1 (- (* 2 (cos y)) (cos y))))>
#<alt (- (+ x (* -1 (* z (sin y)))) (* -1 (- (* 2 (cos y)) (cos y))))>
#<alt (- (+ x (* -1 (* z (sin y)))) (* -1 (- (* 2 (cos y)) (cos y))))>
#<alt (- (+ x (* -1 (* z (sin y)))) (* -1 (- (* 2 (cos y)) (cos y))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ x z) (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z)))))>
#<alt (* z (- (/ x z) (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z)))))>
#<alt (* z (- (/ x z) (+ (sin y) (* -1 (/ (- (* 2 (cos y)) (cos y)) z)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (- x (* -1 (- (* 2 (cos y)) (cos y)))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- x (* -1 (- (* 2 (cos y)) (cos y)))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- x (* -1 (- (* 2 (cos y)) (cos y)))) z)) (* -1 (sin y)))))>
#<alt (/ -1 x)>
#<alt (- (/ (* y z) x) (/ 1 x))>
#<alt (- (* y (+ (* 1/2 (/ y x)) (/ z x))) (/ 1 x))>
#<alt (- (* y (+ (* y (+ (* -1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (cos y)) x))>
#<alt (+ (* -1 (/ (- (* 2 (cos y)) (cos y)) x)) (/ (* z (sin y)) x))>
#<alt (+ (* -1 (/ (- (* 2 (cos y)) (cos y)) x)) (/ (* z (sin y)) x))>
#<alt (+ (* -1 (/ (- (* 2 (cos y)) (cos y)) x)) (/ (* z (sin y)) x))>
#<alt (/ (* z (sin y)) x)>
#<alt (* z (+ (* -1 (/ (- (* 2 (/ (cos y) x)) (/ (cos y) x)) z)) (/ (sin y) x)))>
#<alt (* z (+ (* -1 (/ (- (* 2 (/ (cos y) x)) (/ (cos y) x)) z)) (/ (sin y) x)))>
#<alt (* z (+ (* -1 (/ (- (* 2 (/ (cos y) x)) (/ (cos y) x)) z)) (/ (sin y) x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (- (+ (* -1 (/ (sin y) x)) (* 2 (/ (cos y) (* x z)))) (/ (cos y) (* x z)))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (sin y) x)) (* 2 (/ (cos y) (* x z)))) (/ (cos y) (* x z)))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (sin y) x)) (* 2 (/ (cos y) (* x z)))) (/ (cos y) (* x z)))))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) x))>
#<alt (* -1 (/ (- (* 2 (cos y)) (+ (cos y) (* z (sin y)))) 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 (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (- (* -1 (* z (+ y (* -1/6 (pow y 3))))) (* -1 (+ 1 (+ x (* -1/2 (pow y 2))))))>
#<alt (- (* -1 (* z (+ y (* -1/6 (pow y 3))))) (* -1 (+ 1 (+ x (* -1/2 (pow y 2))))))>
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#<alt (* -1 (* z (+ y (* -1/6 (pow y 3)))))>
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#<alt (* (pow y 3) (- (+ (/ 1/2 (* y z)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ (/ 1 z) (/ x z)) (pow y 3))) (+ (/ 1/2 (* y z)) (/ 1 (pow y 2)))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (/ 1 y) (* 1/2 (/ 1 z))) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (+ (/ 1 (* y z)) (/ x (* y z))) 1) y)) (* 1/2 (/ 1 z))) y)))))>
#<alt (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (+ y (* -1/6 (pow y 3)))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (* -1/6 (pow y 3)))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (* -1 (+ (/ 1 z) (/ x z)))>
#<alt (- y (+ (/ 1 z) (/ x z)))>
#<alt (- (* y (+ 1 (* 1/2 (/ y z)))) (+ (/ 1 z) (/ x z)))>
#<alt (- (* y (+ 1 (* y (+ (* -1/6 y) (* 1/2 (/ 1 z)))))) (+ (/ 1 z) (/ x z)))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* y z))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ 1/2 (* y z)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ (/ 1 z) (/ x z)) (pow y 3))) (+ (/ 1/2 (* y z)) (/ 1 (pow y 2)))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 (* y z))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (/ 1 y) (* 1/2 (/ 1 z))) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (+ (/ 1 (* y z)) (/ x (* y z))) 1) y)) (* 1/2 (/ 1 z))) y)))))>
#<alt (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (- (+ y (+ (* -1 (/ x z)) (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* x (- (+ (* -1/6 (/ (pow y 3) x)) (/ y x)) (+ (* -1/2 (/ (pow y 2) (* x z))) (+ (/ 1 z) (/ 1 (* x z))))))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))) x)) (/ 1 z))))>
#<alt (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (* z (+ y (* -1/6 (pow y 3)))) (+ 1 (+ x (* -1/2 (pow y 2))))) z)>
#<alt (+ y (* -1/6 (pow y 3)))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (* -1/6 (pow y 3)))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3))))>
#<alt (* -1 (+ 1 (+ x (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (+ 1 (+ x (* -1/2 (pow y 2))))) (* z (+ y (* -1/6 (pow y 3)))))>
#<alt (+ (* -1 (+ 1 (+ x (* -1/2 (pow y 2))))) (* z (+ y (* -1/6 (pow y 3)))))>
#<alt (+ (* -1 (+ 1 (+ x (* -1/2 (pow y 2))))) (* z (+ y (* -1/6 (pow y 3)))))>
#<alt (* z (+ y (* -1/6 (pow y 3))))>
#<alt (* z (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3)))))>
#<alt (* z (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3)))))>
#<alt (* z (+ y (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* -1/6 (pow y 3)))))>
#<alt (* z (+ y (* -1/6 (pow y 3))))>
#<alt (* -1 (* z (+ (* -1 (+ y (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))))>
#<alt (* -1 (* z (+ (* -1 (+ y (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))))>
#<alt (* -1 (* z (+ (* -1 (+ y (* -1/6 (pow y 3)))) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))))>
#<alt (* -1 (* z (+ (/ 1 z) (/ x z))))>
#<alt (+ (* -1 (* z (+ (/ 1 z) (/ x z)))) (* y z))>
#<alt (+ (* -1 (* z (+ (/ 1 z) (/ x z)))) (* y (+ z (* 1/2 y))))>
#<alt (+ (* -1 (* z (+ (/ 1 z) (/ x z)))) (* y (+ z (* y (+ 1/2 (* -1/6 (* y z)))))))>
#<alt (* -1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (+ (* -1/6 z) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1 (/ (* z (+ (/ 1 z) (/ x z))) (pow y 3))) (+ (* -1/6 z) (+ (* 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 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 z) (/ (* z (+ (/ 1 z) (/ x z))) y)) y))) y)) (* 1/6 z))))>
#<alt (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))>
#<alt (+ (* -1 x) (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (+ (* -1 x) (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (+ (* -1 x) (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))))>
#<alt (* -1 x)>
#<alt (* x (- (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x) 1))>
#<alt (* x (- (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x) 1))>
#<alt (* x (- (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (* z (- (+ y (* -1/6 (pow y 3))) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)))) x)))))>

Calls

195 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))
1.0ms	y	@	-inf	(/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))
1.0ms	x	@	inf	(/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))
1.0ms	x	@	0	(/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))
0.0ms	z	@	0	(/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))

simplify400.0ms (3.4%)

Memory

36.9MiB live, 654.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 238×	`lower-fma.f64`
8 238×	`lower-fma.f32`
5 472×	`lower-*.f64`
5 472×	`lower-*.f32`
3 866×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	694	13082
1	2260	12451
2	7913	12401
0	8285	11528

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 756

Calls

Call 1

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

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

rewrite716.0ms (6.2%)

Memory

-5.2MiB live, 634.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 032×	`lower-fma.f32`
5 026×	`lower-fma.f64`
4 176×	`lower-*.f32`
4 168×	`lower-*.f64`
3 204×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	692
0	99	655
1	472	619
2	4375	619
0	8254	593

Stop Event

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

Counts

24 → 251

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(+.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 (cos.f64 y) #s(literal 2 binary64)))
(+.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y)))
(-.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) #s(literal 2 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 #s(literal 2 binary64) (cos.f64 y) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))
(fma.f64 #s(literal -1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)) (*.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 (pow.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) #s(literal 2 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)) #s(literal 4 binary64) (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) (cos.f64 y)))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (+.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) (cos.f64 y)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 4 binary64) (.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (fma.f64 (cos.f64 y) #s(literal 2 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 (pow.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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eval261.0ms (2.2%)

Memory: -47.0MiB live, 336.4MiB allocated
Compiler: Compiled 23 416 to 1 495 computations (93.6% saved)

prune144.0ms (1.2%)

Memory

3.4MiB live, 242.3MiB allocated

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1 053	18	1 071
Fresh	10	13	23
Picked	2	3	5
Done	0	4	4
Total	1 065	38	1 103

Accuracy

100.0%

Counts

1 103 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(/.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))))))
✓	41.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal 1 binary64) x)))
	30.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x (- (cos y) (* z (sin y))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
✓	87.5%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	52.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
	54.1%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
	58.4%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	40.1%	(.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))
	61.6%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
	20.8%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y)))
✓	69.4%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 (cos.f64 y) x))
	40.6%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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))
	41.6%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x))
	44.7%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
	20.4%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y))))
	56.1%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
	30.6%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 #s(approx (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x)) (*.f64 z (sin.f64 y)))))
	29.4%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) #s(approx (+ (cos y) x) (cos.f64 y)))
	58.5%	#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) #s(approx (neg (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x))) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
	57.8%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
	82.5%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 1 binary64))))))
	24.0%	#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
	61.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #s(literal -1 binary64))))
✓	57.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))
	36.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
✓	18.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ x 1) #s(literal 1 binary64)))
	12.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	2.4%	#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 (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
	45.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
	22.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
✓	28.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
	35.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
	48.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
	35.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
	11.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
	19.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
✓	41.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
	2.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y)))))))

Compiler

Compiled 1 650 to 615 computations (62.7% saved)

regimes124.0ms (1.1%)

Memory

17.0MiB live, 136.2MiB allocated

Counts

70 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (sin.f64 y) (neg.f64 z)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 #s(approx (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.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 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (.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))))
(-.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 x (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 z (sin.f64 y))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (fma.f64 z (/.f64 (sin.f64 y) (neg.f64 x)) (fma.f64 z (/.f64 (cos.f64 y) (*.f64 z x)) #s(literal 1 binary64))))))
(/.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64)))))
(.f64 (fma.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) x))))
(.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (+.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) #s(approx (neg (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x))) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 y)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))
(-.f64 #s(approx (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))) (.f64 z (sin.f64 y)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 x)) (neg.f64 x))))
(-.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)))
(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 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(/.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))))
#s(approx (- (/ (- (+ (* 1/2 (cos (+ y y))) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 z (sin.f64 y) (/.f64 (.f64 x x) (-.f64 (cos.f64 y) x))))))
(*.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:

40.0ms	y
40.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
21.0ms	x
19.0ms	z

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)

regimes78.0ms (0.7%)

Memory

20.9MiB live, 96.5MiB allocated

Counts

51 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (sin.f64 y) (neg.f64 z)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 #s(approx (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x)) (*.f64 z (sin.f64 y)))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.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 (+.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (.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))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs

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

#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:

24.0ms	y
22.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms	x
15.0ms	z

Results

Accuracy	Segments	Branch
98.8%	3	`x`
87.5%	1	`y`
99.2%	3	`z`
98.9%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes63.0ms (0.5%)

Memory

-41.3MiB live, 89.6MiB allocated

Counts

46 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (sin.f64 y) (neg.f64 z)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 #s(approx (+ (* x (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x))) (neg x)) (*.f64 z (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

4 calls:

17.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms	y
14.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
83.7%	3	`y`
69.4%	1	`x`
73.8%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
83.9%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.3%)

Memory

23.2MiB live, 60.4MiB allocated

Counts

43 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 (cos.f64 y) x))

Outputs

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

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

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

Calls

2 calls:

15.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
80.7%	3	`y`
79.0%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.5%)

Memory

-8.6MiB live, 110.0MiB allocated

Counts

40 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) #s(approx (+ (cos y) x) (cos.f64 y)))

Outputs

#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)) (neg.f64 z)) x)))

#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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:

14.0ms	z
13.0ms	x
13.0ms	y
11.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
68.2%	3	`x`
72.5%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
67.4%	3	`z`
69.2%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.2%)

Memory

12.3MiB live, 51.3MiB allocated

Counts

39 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 x #s(literal 1 binary64))))))))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z (-.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64) y) (/.f64 (+.f64 x (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) z))))))
(/.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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) x)))))))

Outputs

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

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

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

Calls

2 calls:

12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms	y

Results

Accuracy	Segments	Branch
69.2%	3	`y`
61.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes41.0ms (0.4%)

Memory

-20.4MiB live, 18.1MiB allocated

Counts

32 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 z)))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (-.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)))))))
#s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x #s(approx (+ 1 (/ (+ ( z (neg (sin y))) (cos y)) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64))))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (neg.f64 (fma.f64 x #s(approx (/ (- (* (cos y) 2) (+ (* z (sin y)) (cos y))) (neg x)) (fma.f64 y (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) (neg.f64 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 #s(literal 1 binary64) (fma.f64 (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) (fma.f64 y (neg.f64 z) x))))

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
69.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

25 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))))))

Outputs

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
69.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Memory

-23.6MiB live, 17.7MiB allocated

Counts

23 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#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)) (neg.f64 z)) x)))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (fma.f64 y (neg.f64 z) (+.f64 #s(literal 1 binary64) x)))
#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 (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) #s(approx (neg (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)))) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 x (neg.f64 z)))))))
#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 #s(literal 1/6 binary64) (.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 (.f64 #s(literal 1/6 binary64) (.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)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (/.f64 (-.f64 #s(literal -1 binary64) x) z))))))
#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 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 (.f64 z #s(approx (- (+ ( (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z)) (+.f64 y (/.f64 (-.f64 #s(literal -1 binary64) x) z)))))))
#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 (.f64 y (*.f64 z #s(literal 1/6 binary64))))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos y)))) (+.f64 #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #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))) (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)))))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
68.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

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

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 y z #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))) (-.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:

2.0ms

Results

Accuracy	Segments	Branch
68.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-10.8MiB live, 26.7MiB allocated

Counts

3 → 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 (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x)) (neg.f64 #s(approx (* z (- (+ (* (* y (* y y)) -1/6) y) (/ (+ x (+ (* y (* y -1/2)) 1)) z))) (neg.f64 x)))))

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

Calls

4 calls:

4.0ms	x
2.0ms	y
2.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms	z

Results

Accuracy	Segments	Branch
57.8%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
57.8%	1	`z`
57.8%	1	`x`
57.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

14.3MiB live, 14.3MiB 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:

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

Results

Accuracy	Segments	Branch
18.9%	1	`x`
18.9%	1	`z`
18.9%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
18.9%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch105.0ms (0.9%)

Memory

4.5MiB live, 79.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	0.0859030164095852	93781954710.15681
63.0ms	-6.825725943922825e+25	-49664433.407312386

Samples

90.0ms

320×

valid

Compiler

Compiled 455 to 314 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 26.0ms (67.1% of total)

ival-sin: 7.0ms (18.1% of total)

ival-add: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

bsearch50.0ms (0.4%)

Memory

-24.1MiB live, 90.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.511262292689267e+111	3.2098293674426267e+119
26.0ms	-1.4434670722389509e+107	-4.1401462377967977e+89

Samples

26.0ms

304×

valid

Compiler

Compiled 376 to 261 computations (30.6% saved)

Precisions

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

ival-cos: 7.0ms (38.1% of total)

ival-sin: 6.0ms (32.7% of total)

ival-add: 2.0ms (10.9% of total)

ival-mult: 2.0ms (10.9% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

bsearch44.0ms (0.4%)

Memory

-8.7MiB live, 79.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	2066365.7900729456	631250984753.9088
8.0ms	-0.014215202539804265	-0.007023967667014191

Samples

33.0ms

224×

valid

Compiler

Compiled 491 to 308 computations (37.3% saved)

Precisions

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

ival-cos: 16.0ms (63.5% of total)

ival-sin: 5.0ms (19.8% of total)

ival-mult: 2.0ms (7.9% of total)

ival-sub: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

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

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9904717338583875	0.9996895506917266
0.0ms	-90.57678196408968	-0.9938508760193853

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch20.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	631250984753.9088	44552950057936.6
2.0ms	-0.014215202539804265	-0.007023967667014191

Samples

13.0ms

128×

valid

Compiler

Compiled 436 to 276 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (41.5% of total)

ival-sin: 4.0ms (41.5% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

ival-mult: 1.0ms (10.4% of total)

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

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

bsearch47.0ms (0.4%)

Memory

0.6MiB live, 118.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.27739869641040776	2834.176686299195
25.0ms	-168083714694478500.0	-0.014215202539804265

Samples

32.0ms

288×

valid

Compiler

Compiled 595 to 390 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 10.0ms (42.6% of total)

ival-sin: 9.0ms (38.3% of total)

ival-mult: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

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

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

bsearch5.0ms (0%)

Memory

-39.5MiB live, 6.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.27739869641040776	2834.176686299195
1.0ms	-168083714694478500.0	-0.014215202539804265

Compiler

Compiled 559 to 372 computations (33.5% saved)

bsearch27.0ms (0.2%)

Memory

26.9MiB live, 64.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2066365.7900729456	631250984753.9088
5.0ms	-168083714694478500.0	-0.014215202539804265

Samples

19.0ms

160×

valid

Compiler

Compiled 497 to 336 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-cos: 5.0ms (34.3% of total)

ival-sin: 5.0ms (34.3% of total)

ival-sub: 3.0ms (20.6% of total)

ival-add: 1.0ms (6.9% of total)

ival-mult: 1.0ms (6.9% of total)

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

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

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2066365.7900729456	631250984753.9088
1.0ms	-168083714694478500.0	-0.014215202539804265

Compiler

Compiled 452 to 318 computations (29.6% saved)

bsearch28.0ms (0.2%)

Memory

-6.8MiB live, 70.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	631250984753.9088	44552950057936.6
16.0ms	-168083714694478500.0	-0.014215202539804265

Samples

18.0ms

176×

valid

Compiler

Compiled 372 to 252 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (36.7% of total)

ival-sin: 5.0ms (36.7% of total)

ival-mult: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

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

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

bsearch1.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	631250984753.9088	44552950057936.6
1.0ms	-168083714694478500.0	-0.014215202539804265

Compiler

Compiled 338 to 235 computations (30.5% saved)

simplify16.0ms (0.1%)

Memory

-4.2MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	777
1	182	777
2	202	777
3	210	777
4	213	777

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -50000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8106479329266893/9007199254740992 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 z #s(literal -89999999999999993933988080191756547062321040700146662783630360712014371605178861888718522534517566431297536 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 230000000000000006868290799851023829837929670876746663166214057562483274052252803791515950476322301493691262842276151296 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 -7782220156096217/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2100000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z)))) #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 -50 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)) (neg.f64 z)) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (/ (- ( (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 -8070450532247929/576460752303423488 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x)))) (if (<=.f64 y #s(literal 18500000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -64 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 25 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x)))) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -64 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 25 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 (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8200000000 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 (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8200000000 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 -3602879701896397/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 34000000000000 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)) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -3602879701896397/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 34000000000000 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)))))
#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 z #s(literal -50000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8106479329266893/9007199254740992 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 z #s(literal -50000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 8106479329266893/9007199254740992 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 z #s(literal -89999999999999993933988080191756547062321040700146662783630360712014371605178861888718522534517566431297536 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 230000000000000006868290799851023829837929670876746663166214057562483274052252803791515950476322301493691262842276151296 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 -89999999999999993933988080191756547062321040700146662783630360712014371605178861888718522534517566431297536 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 230000000000000006868290799851023829837929670876746663166214057562483274052252803791515950476322301493691262842276151296 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -7782220156096217/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 2100000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -7782220156096217/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 2100000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z)))) #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 -50 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)) (neg.f64 z)) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (/ (- ( (+ x (cos y)) (+ x (cos y))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (+ (* z (sin y)) (+ x (cos 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 -8070450532247929/576460752303423488 binary64)) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x)))) (if (<=.f64 y #s(literal 18500000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) z)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -64 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 25 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 y y) (fma.f64 y (neg.f64 z) x)))) #s(approx (/ 1 (/ 1 (+ x (- (cos y) (* z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -64 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 25 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 (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8200000000 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 (/ 1 (/ 1 (+ x (- (cos y) ( z (sin y)))))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( z (neg (sin y))) (cos y)) #s(literal 1 binary64)) x))))))
(if (<=.f64 y #s(literal -62 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8200000000 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 -3602879701896397/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 34000000000000 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)) (neg.f64 z)) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -3602879701896397/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x #s(literal 1 binary64))) (if (<=.f64 y #s(literal 34000000000000 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)))))
#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)))

soundness1.6s (14%)

Memory

-3.8MiB live, 1 162.6MiB allocated

Rules

12 396×	`lower-fma.f64`
12 396×	`lower-fma.f32`
8 348×	`lower-fma.f64`
8 348×	`lower-fma.f32`
8 322×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	694	13082
1	2260	12451
2	7913	12401
0	8285	11528
0	755	7509
1	2346	7317
2	7570	7295
0	8142	6936
0	881	10057
1	2866	9550
0	8294	9112
0	39	210
0	68	194
1	326	176
2	2926	176
0	8646	176
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629
0	8	21
0	13	21
1	47	21
2	388	21
3	5630	21
0	8225	21

Stop Event

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

Compiler

Compiled 944 to 449 computations (52.4% saved)

preprocess198.0ms (1.7%)

Memory: -4.9MiB live, 116.2MiB allocated
Compiler: Compiled 790 to 210 computations (73.4% 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%)

sample1.1s (9.4%)

preprocess87.0ms (0.7%)

explain124.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize38.0ms (0.3%)

series6.0ms (0.1%)

simplify362.0ms (3.1%)

rewrite294.0ms (2.5%)

eval35.0ms (0.3%)

prune41.0ms (0.4%)

simplify390.0ms (3.4%)

localize147.0ms (1.3%)

series43.0ms (0.4%)

simplify370.0ms (3.2%)

rewrite703.0ms (6%)

eval400.0ms (3.4%)

prune310.0ms (2.7%)

simplify747.0ms (6.4%)

localize350.0ms (3%)

series83.0ms (0.7%)

simplify399.0ms (3.4%)

rewrite386.0ms (3.3%)

eval215.0ms (1.8%)

prune148.0ms (1.3%)

simplify295.0ms (2.5%)

localize316.0ms (2.7%)

series32.0ms (0.3%)

simplify400.0ms (3.4%)

rewrite716.0ms (6.2%)

eval261.0ms (2.2%)

prune144.0ms (1.2%)

regimes124.0ms (1.1%)

regimes78.0ms (0.7%)

regimes63.0ms (0.5%)

regimes29.0ms (0.3%)

regimes54.0ms (0.5%)

regimes26.0ms (0.2%)

regimes41.0ms (0.4%)

regimes9.0ms (0.1%)

regimes29.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

bsearch105.0ms (0.9%)

bsearch50.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

bsearch47.0ms (0.4%)

bsearch5.0ms (0%)

bsearch27.0ms (0.2%)

bsearch2.0ms (0%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

simplify16.0ms (0.1%)

soundness1.6s (14%)

preprocess198.0ms (1.7%)

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