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

analyze0.0ms (0%)

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 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample1.3s (13.8%)

Results

1.1s	8253×	0	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-sin: 300.0ms (42.9% of total)

ival-cos: 200.0ms (28.6% of total)

ival-add: 95.0ms (13.6% of total)

ival-mult: 92.0ms (13.2% of total)

const: 8.0ms (1.1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess67.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2492×	`sum4-define`
1876×	`fnmadd-define`
1712×	`sum5-define`
1562×	`fmsub-define`
1534×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	89
1	103	83
2	274	80
3	968	80
4	3683	80
5	6527	80
0	8	8
1	14	8
2	24	8
3	33	8
4	34	8
0	34	8

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (+ x (sin y)) (* z (cos y)))

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

Call 2

Inputs
(+ (+ x (sin y)) (* z (cos y)))
(+ (+ (neg x) (sin y)) (* z (cos y)))
(+ (+ x (sin (neg y))) (* z (cos (neg y))))
(+ (+ x (sin y)) (* (neg z) (cos y)))
(neg (+ (+ (neg x) (sin y)) (* z (cos y))))
(neg (+ (+ x (sin (neg y))) (* z (cos (neg y)))))
(neg (+ (+ x (sin y)) (* (neg z) (cos y))))
(+ (+ y (sin x)) (* z (cos x)))
(+ (+ z (sin y)) (* x (cos y)))
(+ (+ x (sin z)) (* y (cos z)))

Outputs
(+ (+ x (sin y)) (* z (cos y)))
(+ x (fma z (cos y) (sin y)))
(+ (+ (neg x) (sin y)) (* z (cos y)))
(- (fma z (cos y) (sin y)) x)
(+ (+ x (sin (neg y))) (* z (cos (neg y))))
(fmsub z (cos y) (- (sin y) x))
(+ (+ x (sin y)) (* (neg z) (cos y)))
(fnmadd z (cos y) (+ x (sin y)))
(neg (+ (+ (neg x) (sin y)) (* z (cos y))))
(+ x (fnmsub z (cos y) (sin y)))
(neg (+ (+ x (sin (neg y))) (* z (cos (neg y)))))
(+ (sin y) (fnmsub z (cos y) x))
(neg (+ (+ x (sin y)) (* (neg z) (cos y))))
(- (fmsub z (cos y) x) (sin y))
(+ (+ y (sin x)) (* z (cos x)))
(+ y (fma z (cos x) (sin x)))
(+ (+ z (sin y)) (* x (cos y)))
(+ z (fma x (cos y) (sin y)))
(+ (+ x (sin z)) (* y (cos z)))
(+ (sin z) (fma y (cos z) x))

explain151.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

98.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-sin: 25.0ms (34.9% of total)

ival-mult: 24.0ms (33.5% of total)

ival-cos: 15.0ms (20.9% of total)

ival-add: 7.0ms (9.8% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`fma-lowering-fma.f32`
12×	`sum3-define`
12×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	14	23
2	24	23
3	33	23
4	34	23
0	34	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ x (sin y)) (* z (cos y)))
(+ x (sin y))
x
(sin y)
y
(* z (cos y))
z
(cos y)

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

localize61.0ms (0.7%)

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 (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))

Results

29.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 6.0ms (37.6% of total)

ival-cos: 5.0ms (31.4% of total)

ival-add: 3.0ms (18.8% of total)

ival-mult: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(* z (cos y))
1.0ms	x	@	0	(+ (+ x (sin y)) (* z (cos y)))
1.0ms	y	@	inf	(+ (+ x (sin y)) (* z (cos y)))
0.0ms	z	@	0	(+ (+ x (sin y)) (* z (cos y)))
0.0ms	y	@	-inf	(+ (+ x (sin y)) (* z (cos y)))

rewrite312.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3724×	`-lowering-.f32`
3724×	`-lowering-.f64`
2512×	`/-lowering-/.f32`
2512×	`/-lowering-/.f64`
1642×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	39	20
2	389	20
3	6296	20
0	8424	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 137

Calls

Call 1

Inputs
(+ (+ x (sin y)) (* z (cos y)))
(+ x (sin y))
(sin y)
(* z (cos y))
(cos y)

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

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2386×	`-lowering-.f32`
2386×	`-lowering-.f64`
2038×	`fma-lowering-fma.f32`
2038×	`fma-lowering-fma.f64`
1968×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	656
1	327	605
2	1051	591
3	2975	583
4	5981	583
0	8259	583

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

Outputs
(+ (sin y) (* z (cos y)))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(-.f64 x (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))))))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(-.f64 x (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))))))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(-.f64 x (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))))))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))))))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 (sin.f64 y) (+.f64 (*.f64 z (cos.f64 y)) x))
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
x
(+ x y)
(+.f64 y x)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
(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)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 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)

eval86.0ms (0.9%)

Compiler: Compiled 6027 to 532 computations (91.2% saved)

prune107.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	231	14	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	14	246

Accuracy

100.0%

Counts

246 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.0%	(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (-.f64 (.f64 x x) (pow.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
	60.1%	(+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))))))
▶	61.4%	(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
	82.9%	(+.f64 (+.f64 x (sin.f64 y)) z)
▶	55.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	60.7%	(+.f64 (sin.f64 y) x)
	68.0%	(+.f64 z x)
	66.2%	(+.f64 y (+.f64 z x))
	83.9%	(+.f64 x (*.f64 z (cos.f64 y)))
▶	99.7%	(.f64 (+.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
	39.3%	(*.f64 z (cos.f64 y))
▶	46.1%	x

Compiler

Compiled 412 to 250 computations (39.3% saved)

simplify183.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
✓	cost-diff	0	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	cost-diff	26624	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))

Rules

4044×	`-lowering-.f32`
4044×	`-lowering-.f64`
1958×	`+-lowering-+.f64`
1958×	`+-lowering-+.f32`
1492×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	135
1	60	124
2	185	122
3	714	122
4	5895	122
0	8330	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize121.0ms (1.3%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	100.0%	(+.f64 (sin.f64 y) x)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
✓	accuracy	96.2%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	99.7%	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Results

77.0ms

256×

valid

Compiler

Compiled 179 to 23 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 14.0ms (32.7% of total)

ival-add: 12.0ms (28% of total)

ival-sin: 6.0ms (14% of total)

ival-cos: 5.0ms (11.7% of total)

ival-sub: 3.0ms (7% of total)

ival-div: 2.0ms (4.7% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts

16 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite428.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4020×	`-lowering-.f32`
4020×	`-lowering-.f64`
3550×	`/-lowering-/.f32`
3550×	`/-lowering-/.f64`
2598×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	152	90
2	1607	88
0	9415	88

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 612

Calls

Call 1

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

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

simplify304.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
3100×	`+-lowering-+.f64`
3100×	`+-lowering-+.f32`
1420×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	3547
1	1265	3292
2	4219	3195
0	8652	3195

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

eval201.0ms (2.2%)

Compiler: Compiled 48849 to 2728 computations (94.4% saved)

prune154.0ms (1.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1341	17	1358
Fresh	5	4	9
Picked	3	2	5
Done	0	0	0
Total	1349	23	1372

Accuracy

100.0%

Counts

1372 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
	35.6%	(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64))) z) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))
▶	41.6%	(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
	41.1%	(+.f64 (+.f64 y x) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	66.2%	(+.f64 (+.f64 y x) z)
	29.8%	(+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	40.0%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
	61.3%	(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
✓	55.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	38.7%	(+.f64 (sin.f64 y) z)
	68.0%	(+.f64 z x)
	28.3%	(+.f64 y z)
	45.1%	(+.f64 y x)
	83.9%	(+.f64 x (*.f64 z (cos.f64 y)))
	39.8%	(.f64 (+.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
	39.3%	(*.f64 z (cos.f64 y))
	7.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
▶	2.5%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
	88.9%	(.f64 x (+.f64 (/.f64 (sin.f64 y) x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x))))
	17.2%	(sin.f64 y)
▶	23.9%	z
✓	46.1%	x

Compiler

Compiled 696 to 410 computations (41.1% saved)

simplify193.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) z)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 (.f64 y y) (.f64 x x))
✓	cost-diff	512	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
✓	cost-diff	512	(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	0	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))

Rules

2190×	`--lowering--.f32`
2190×	`--lowering--.f64`
1922×	`-lowering-.f32`
1922×	`-lowering-.f64`
1426×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	148
1	69	140
2	166	130
3	401	126
4	1029	126
5	2946	126
6	7345	126
0	8410	126

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize159.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) z)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
✓	accuracy	96.2%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	95.6%	(-.f64 (.f64 y y) (.f64 x x))
✓	accuracy	56.8%	(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))))

Results

127.0ms

256×

valid

Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 37.0ms (50.8% of total)

ival-cos: 15.0ms (20.6% of total)

ival-add: 6.0ms (8.2% of total)

ival-sin: 6.0ms (8.2% of total)

ival-div: 5.0ms (6.9% of total)

ival-sub: 3.0ms (4.1% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts

15 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
11.0ms	z	@	0	(+ (/ (- (* y y) (* x x)) (- y x)) (* z (+ 1 (* y (* y -1/2)))))
3.0ms	z	@	0	(* y (* y (* z -1/2)))
1.0ms	x	@	0	(+ (/ (- (* y y) (* x x)) (- y x)) (* z (+ 1 (* y (* y -1/2)))))
1.0ms	y	@	inf	(+ (/ (- (* y y) (* x x)) (- y x)) (* z (+ 1 (* y (* y -1/2)))))
1.0ms	y	@	0	(+ (/ (- (* y y) (* x x)) (- y x)) (* z (+ 1 (* y (* y -1/2)))))

rewrite614.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3498×	`-lowering-.f32`
3498×	`-lowering-.f64`
2752×	`/-lowering-/.f32`
2752×	`/-lowering-/.f64`
2004×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	108
1	173	87
2	1602	87
0	8423	87

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 668

Calls

Call 1

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

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

simplify398.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

3430×	`-lowering-.f32`
3430×	`-lowering-.f64`
2088×	`+-lowering-+.f64`
2088×	`+-lowering-+.f32`
1494×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	3651
1	1227	3415
2	4239	3315
0	8478	3315

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(/ 1 (+ (sin y) (* z (cos y))))
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y)))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x)
(/ 1 x)
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x))
(/ 1 (+ x z))
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/ 1 (+ x (sin y)))
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* (pow y 2) z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(- z (* -1 x))
(- (+ y z) (* -1 x))
(- (+ z (* y (+ 1 (* -1/2 (* y z))))) (* -1 x))
(- (+ z (* y (+ 1 (* -1/2 (* y z))))) (* -1 x))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (- (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 3))) (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2))))) (* -1 (/ x (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(+ y (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
x
(* x (+ 1 (+ (/ y x) (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (* z (+ 1 (* -1/2 (pow y 2)))) x) (/ (pow y 2) (pow x 2)))))))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (* z (+ 1 (* -1/2 (pow y 2)))) x) (/ (pow y 2) (pow x 2)))))))
x
(* -1 (* x (- (* -1 (/ (+ y (* z (+ 1 (* -1/2 (pow y 2))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))) x)) 1)))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(- (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(- (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(- (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (- (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))) (/ (pow x 2) (* z (- y x)))))
(* z (- (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))) (/ (pow x 2) (* z (- y x)))))
(* z (- (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))) (/ (pow x 2) (* z (- y x)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)))))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (pow x 2))
(- (pow y 2) (pow x 2))
(- (pow y 2) (pow x 2))
(- (pow y 2) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (pow y 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
z
(+ y z)
(+ z (* y (+ 1 (* -1/6 (pow y 2)))))
(+ z (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
(sin y)
(+ z (sin y))
(+ z (sin y))
(+ z (sin y))
z
(* z (+ 1 (/ (sin y) z)))
(* z (+ 1 (/ (sin y) z)))
(* z (+ 1 (/ (sin y) z)))
z
(* -1 (* z (- (* -1 (/ (sin y) z)) 1)))
(* -1 (* z (- (* -1 (/ (sin y) z)) 1)))
(* -1 (* z (- (* -1 (/ (sin y) z)) 1)))
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)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))

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

eval211.0ms (2.3%)

Compiler: Compiled 38808 to 2594 computations (93.3% saved)

prune182.0ms (1.9%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1040	13	1053
Fresh	3	13	16
Picked	2	3	5
Done	0	2	2
Total	1045	31	1076

Accuracy

100.0%

Counts

1076 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	31.7%	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
	67.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 z x))))
	39.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	46.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	62.7%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x)))))
	34.7%	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 x y)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	43.3%	(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) z)
	18.3%	(+.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (.f64 x x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
▶	25.8%	(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	41.1%	(+.f64 (+.f64 y x) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	66.2%	(+.f64 (+.f64 y x) z)
	29.8%	(+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	40.0%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
	27.8%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) z)
✓	55.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	38.7%	(+.f64 (sin.f64 y) z)
	68.0%	(+.f64 z x)
	28.3%	(+.f64 y z)
▶	45.1%	(+.f64 y x)
	83.9%	(+.f64 x (*.f64 z (cos.f64 y)))
	39.8%	(.f64 (+.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
▶	39.3%	(*.f64 z (cos.f64 y))
▶	7.5%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
✓	2.5%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
▶	88.9%	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))
	17.2%	(sin.f64 y)
✓	23.9%	z
✓	46.1%	x

Compiler

Compiled 897 to 545 computations (39.2% saved)

simplify213.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 (*.f64 y y) (-.f64 y x))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 z (cos.f64 y)) x)
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 z (cos.f64 y)) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x)))
✓	cost-diff	384	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))

Rules

2182×	`-lowering-.f32`
2182×	`-lowering-.f64`
1906×	`sum3-define`
1804×	`fma-define`
1552×	`sum4-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	156
1	71	148
2	170	148
3	382	142
4	713	139
5	1130	139
6	2752	138
7	5273	138
0	8341	138

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize153.0ms (1.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
✓	accuracy	96.2%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	75.6%	(/.f64 (*.f64 y y) (-.f64 y x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (*.f64 z (cos.f64 y)) x)
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	88.9%	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))

Results

95.0ms

256×

valid

Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 18.0ms (40.4% of total)

ival-add: 7.0ms (15.7% of total)

ival-cos: 6.0ms (13.5% of total)

ival-div: 5.0ms (11.2% of total)

ival-sin: 5.0ms (11.2% of total)

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts

17 → 408

Calls

Call 1

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

Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (+ y (* x (+ 1 (/ z x))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ 1 (/ (sin y) x))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (+ 1 (/ z x))>
#<alt (+ 1 (+ (/ y x) (/ z x)))>
#<alt (+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)))>
#<alt (+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt 1>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ z x)>
#<alt (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x))>
#<alt (+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x))>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt y>
#<alt (+ y (* -1/2 (* (pow y 2) z)))>
#<alt (+ y (* -1/2 (* (pow y 2) z)))>
#<alt (+ y (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ y z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ y z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ y z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* y (+ (* -1/2 z) (/ 1 y)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/2 z) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (+ 1 (* -1/2 (* y z)))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* z (+ (* -1/2 y) (/ 1 z)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* 1/2 y) (/ 1 z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt (* -1/2 z)>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1/2 z) (/ 1 x))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 (/ y (pow x 2))) (* -1/2 z)) (/ 1 x))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1/2 z) (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2))))) (/ 1 x))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (- (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2)))) (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (- (+ (* -1/2 z) (+ (/ 1 y) (+ (/ z (pow y 2)) (/ (pow x 2) (pow y 3))))) (* -1 (/ x (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x (+ z (/ (pow x 2) y))) y)) 1) y)) (* -1/2 z)))>
#<alt (+ y (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ y (+ (* x (+ 1 (/ x y))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ y (+ (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (+ (* -1 (/ (pow y 2) x)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 3) (pow x 2))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (- (+ (* -1 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 4) (pow x 3))) (* z (+ 1 (* -1/2 (pow y 2)))))) (/ (pow y 3) (pow x 2)))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (+ (* -1 (/ (pow y 2) x)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (pow y 2) (- y x))>
#<alt (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))>
#<alt (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))>
#<alt (+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))>
#<alt (* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))>
#<alt (* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt (* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))>
#<alt (* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ y (* x (+ 1 (/ x y))))>
#<alt (+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)>
#<alt (/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)>
#<alt (/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<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 (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>

Calls

102 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/ (* z (cos y)) x)
1.0ms	y	@	inf	(* x (+ (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))
1.0ms	y	@	-inf	(* x (+ (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))
1.0ms	x	@	0	(* x (+ (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))
1.0ms	x	@	-inf	(* x (+ (/ (* z (cos y)) x) (+ 1 (/ (sin y) x))))

rewrite526.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5670×	`-lowering-.f32`
5670×	`-lowering-.f64`
3174×	`+-lowering-+.f64`
3174×	`+-lowering-+.f32`
2960×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	113
1	163	106
2	1749	106
0	9875	106

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 571

Calls

Call 1

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

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

simplify333.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3142×	`+-lowering-+.f64`
3142×	`+-lowering-+.f32`
1140×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	3378
1	1280	3194
2	4450	3110
0	8515	3110

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1)))
(* x (+ 1 (/ (sin y) x)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* x (+ 1 (/ z x)))
(+ y (* x (+ 1 (/ z x))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ 1 (/ (sin y) x))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(/ (* z (cos y)) x)
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(+ 1 (/ z x))
(+ 1 (+ (/ y x) (/ z x)))
(+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)))
(+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
1
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
1
(+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))
(+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))
(+ 1 (* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ z x)
(+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* 1/24 (/ (* (pow y 2) z) x)))) (/ z x))
(+ (* (pow y 2) (+ (* -1/2 (/ z x)) (* (pow y 2) (+ (* -1/720 (/ (* (pow y 2) z) x)) (* 1/24 (/ z x)))))) (/ z x))
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(/ (* z (cos y)) x)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
y
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* -1/2 (* y z))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
y
(+ y (* -1/2 (* (pow y 2) z)))
(+ y (* -1/2 (* (pow y 2) z)))
(+ y (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* y (+ (* -1/2 z) (/ 1 y)))
(* -1/2 (* y z))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
(* -1 (* y (- (* 1/2 z) (/ 1 y))))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(+ 1 (* -1/2 (* y z)))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* z (+ (* -1/2 y) (/ 1 z)))
(* -1/2 (* y z))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1 (* z (- (* 1/2 y) (/ 1 z))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
(* -1/2 z)
z
(+ z (* (pow y 2) (- (* -1/2 z) (/ 1 x))))
(+ z (* (pow y 2) (- (+ (* -1 (/ y (pow x 2))) (* -1/2 z)) (/ 1 x))))
(+ z (* (pow y 2) (- (+ (* -1/2 z) (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2))))) (/ 1 x))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (- (+ (* -1/2 z) (+ (/ 1 y) (/ z (pow y 2)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1/2 z) (+ (/ 1 y) (+ (/ z (pow y 2)) (/ (pow x 2) (pow y 3))))) (* -1 (/ x (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x (+ z (/ (pow x 2) y))) y)) 1) y)) (* -1/2 z)))
(+ y (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ y (+ (* x (+ 1 (/ x y))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ y (+ (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(+ (* -1 (/ (pow y 2) x)) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 3) (pow x 2))) (* z (+ 1 (* -1/2 (pow y 2))))))
(- (+ (* -1 (/ (pow y 2) x)) (+ (* -1 (/ (pow y 4) (pow x 3))) (* z (+ 1 (* -1/2 (pow y 2)))))) (/ (pow y 3) (pow x 2)))
(* z (+ 1 (* -1/2 (pow y 2))))
(+ (* -1 (/ (pow y 2) x)) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x)) (* z (+ 1 (* -1/2 (pow y 2)))))
(/ (pow y 2) (- y x))
(+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))
(+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))
(+ (* z (+ 1 (* -1/2 (pow y 2)))) (/ (pow y 2) (- y x)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (pow y 2) (* z (- y x))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (pow y 2) (* z (- y x)))))))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
y
(* y (+ 1 (/ x y)))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
y
(+ x y)
(+ y (* x (+ 1 (/ x y))))
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(* -1 (/ (pow y 2) x))
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
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)
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (* -1/2 (pow y 2))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* -1/2 (* (pow y 2) z)))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)

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

eval158.0ms (1.7%)

Compiler: Compiled 28357 to 2451 computations (91.4% saved)

prune160.0ms (1.7%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1004	14	1018
Fresh	5	16	21
Picked	2	3	5
Done	0	5	5
Total	1011	38	1049

Accuracy

100.0%

Counts

1049 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(fma.f64 (.f64 x (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))
	31.7%	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
	50.7%	(/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sin.f64 y)) #s(literal -3 binary64))) x) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) x) (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))) (.f64 (.f64 z (cos.f64 y)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) x) (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64)))) x))
	7.0%	(/.f64 (*.f64 y y) (-.f64 y x))
	39.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
	67.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
	66.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 z x))))
	39.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	46.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	62.7%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x)))))
	34.7%	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 x y)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	14.7%	(+.f64 (/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
	6.5%	(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))))
	66.2%	(+.f64 (+.f64 y x) z)
	7.5%	(+.f64 (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
	40.0%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
	27.8%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) z)
✓	55.1%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	38.7%	(+.f64 (sin.f64 y) z)
	21.5%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
	22.1%	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	68.0%	(+.f64 z x)
	28.3%	(+.f64 y z)
✓	45.1%	(+.f64 y x)
	83.9%	(+.f64 x (*.f64 z (cos.f64 y)))
	39.8%	(.f64 (+.f64 x (+.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
	22.8%	(.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (/.f64 (.f64 y y) (*.f64 z (-.f64 y x)))))
✓	39.3%	(*.f64 z (cos.f64 y))
✓	2.5%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
✓	88.9%	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))
	56.5%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 (.f64 z #s(literal -1/2 binary64)) x))))))
	54.0%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)))))))
	61.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
	28.3%	(.f64 x (.f64 (cos.f64 y) (/.f64 z x)))
	17.2%	(sin.f64 y)
✓	23.9%	z
	8.0%	y
✓	46.1%	x

Compiler

Compiled 1496 to 590 computations (60.6% saved)

regimes81.0ms (0.9%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms	x
17.0ms	y
16.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes47.0ms (0.5%)

Counts

46 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
97.9%	3	`x`
90.6%	3	`y`
98.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.3%)

Counts

42 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
89.5%	3	`x`
94.3%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes59.0ms (0.6%)

Counts

41 → 4

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	z
11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
80.9%	3	`x`
81.3%	3	`y`
85.9%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes49.0ms (0.5%)

Counts

39 → 4

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	x
11.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
76.2%	3	`x`
77.1%	4	`y`
78.3%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes60.0ms (0.6%)

Counts

38 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (*.f64 y y) (-.f64 y x))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) z)
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(+.f64 (+.f64 y x) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) z)
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 y (*.f64 (+.f64 z x) (+.f64 z x)))))
(.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (/.f64 (.f64 y y) (*.f64 z (-.f64 y x)))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 (.f64 z #s(literal -1/2 binary64)) x))))))
(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) x) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x)))))))
(+.f64 (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 x y)) (-.f64 y x)) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (+.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 y x)) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (.f64 x x))) (.f64 (/.f64 (-.f64 y x) (.f64 y y)) (-.f64 y x))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64))) z) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (/.f64 (-.f64 y x) (-.f64 (.f64 y y) (.f64 x x)))))
(sin.f64 y)

Outputs
(+.f64 z x)
(+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64)))))))
(+.f64 z x)

Calls

3 calls:

37.0ms	x
11.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
73.6%	3	`y`
72.8%	3	`x`
70.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 (+.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (*.f64 y y) (-.f64 y x))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(+.f64 (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (+.f64 z x))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) z)
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(+.f64 (+.f64 y x) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
(+.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x)) z)
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))))

Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)

Outputs
(+.f64 z x)
(+.f64 y z)
(+.f64 z x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
71.9%	3	`x`
68.0%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)

Outputs
x
(+.f64 y z)
x

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
54.1%	4	`y`
58.5%	4	`z`
65.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
x
z
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
61.0%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
46.1%	1	`y`
46.1%	1	`z`
50.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
46.1%	1	`y`
46.1%	1	`z`
46.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
34.0ms	2.716672127956249e-5	6325.075143776958
18.0ms	-109.37755833908228	-3.2082440089915576e-7

Results

26.0ms

272×

valid

Compiler

Compiled 358 to 251 computations (29.9% saved)

Precisions

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

ival-sin: 6.0ms (35.3% of total)

ival-cos: 5.0ms (29.4% of total)

ival-add: 3.0ms (17.6% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.625008853434834e-46	1.451910151910106e-39
22.0ms	-4.667225577266658e-97	-1.2267884550251424e-100

Results

32.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 12.0ms (50.8% of total)

ival-sin: 6.0ms (25.4% of total)

ival-add: 3.0ms (12.7% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.5767180732681764e+164	2.491177430184856e+180
22.0ms	6.625008853434834e-46	1.451910151910106e-39
18.0ms	-4.0437977347016997e+43	-1.4748754431230205e+41

Results

45.0ms	431×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 431 to 318 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 10.0ms (32.3% of total)

ival-cos: 9.0ms (29.1% of total)

ival-mult: 7.0ms (22.6% of total)

ival-add: 5.0ms (16.2% of total)

backward-pass: 0.0ms (0% of total)

const: 0.0ms (0% of total)

bsearch80.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.5767180732681764e+164	2.491177430184856e+180
37.0ms	-5.8717891284095e-157	-1.0955274272028286e-162
17.0ms	-4.0437977347016997e+43	-1.4748754431230205e+41

Results

62.0ms

432×

valid

Compiler

Compiled 452 to 320 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-add: 26.0ms (55% of total)

ival-sin: 9.0ms (19% of total)

ival-cos: 8.0ms (16.9% of total)

ival-mult: 3.0ms (6.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.3240068155523908e-8	18.08072768978465
17.0ms	-1.8278381986052524e+28	-1.1144728399714999e+26

Results

33.0ms

256×

valid

Compiler

Compiled 466 to 333 computations (28.5% saved)

Precisions

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

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

ival-cos: 7.0ms (34.7% of total)

ival-add: 3.0ms (14.9% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	18.08072768978465	50312349.50006751
21.0ms	-1.475962286121371e+47	-4.750816945934482e+46

Results

62.0ms

224×

valid

Compiler

Compiled 242 to 167 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sin: 43.0ms (79.2% of total)

ival-cos: 7.0ms (12.9% of total)

ival-add: 2.0ms (3.7% of total)

ival-mult: 2.0ms (3.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.98229665562182e-67	2.9740032722336145e-57
26.0ms	-5.92203131619242e-189	-6.583499251494891e-193

Results

36.0ms

272×

valid

Compiler

Compiled 256 to 183 computations (28.5% saved)

Precisions

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

ival-sin: 8.0ms (44.1% of total)

ival-cos: 5.0ms (27.6% of total)

ival-add: 3.0ms (16.5% of total)

ival-mult: 2.0ms (11% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.0163666104620911e-44	2.5423892438131687e-42
16.0ms	-251115843205866.97	-2909958835086.427

Results

24.0ms

224×

valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

Precisions

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

ival-cos: 6.0ms (35.2% of total)

ival-sin: 5.0ms (29.4% of total)

ival-add: 4.0ms (23.5% of total)

ival-mult: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0163666104620911e-44	2.5423892438131687e-42
16.0ms	-33140586516735492.0	-251115843205866.97

Results

21.0ms

224×

valid

Compiler

Compiled 158 to 125 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 5.0ms (37.1% of total)

ival-cos: 4.0ms (29.6% of total)

ival-add: 2.0ms (14.8% of total)

ival-mult: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0163666104620911e-44	2.5423892438131687e-42
15.0ms	-1.0256314722713256e-130	-3.546778110401711e-132

Results

22.0ms

224×

valid

Compiler

Compiled 158 to 125 computations (20.9% saved)

Precisions

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

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

ival-add: 4.0ms (27.4% of total)

ival-cos: 4.0ms (27.4% of total)

ival-mult: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`if-if-or-not_binary32`
10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	201
1	134	201

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3/4 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -8850059985518291/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -720000000000000050886813717495364209082368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 3299999999999999852444870085208480448112333165696235699298054508145611586947785588041275029907262011142652024418534915328432333839665416016914954458956794389627666432 binary64)) (+.f64 z x) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -40000000000000000557488467837656396522848256 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 449999999999999975229143352675954904837491885055737890505640890254139094976840977778165634185259372423898440366868174319094914660579274046032072559906902284198477824 binary64)) (+.f64 y (+.f64 z x)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -130000000000000001040187392 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) (+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -58000000000000004165651664906553080484554866688 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 340 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x #s(literal -4263988033596151/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 5934344573412455/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -3100000000000 binary64)) x (if (<=.f64 x #s(literal 7846377169233351/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -255000000000000 binary64)) x (if (<=.f64 x #s(literal 5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) z x))
(if (<=.f64 x #s(literal -5993757216606705/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) x (if (<=.f64 x #s(literal 8235557476827325/401734511064747568885490523085290650630550748445698208825344 binary64)) y x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -3602879701896397/4503599627370496 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3/4 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -8850059985518291/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -8850059985518291/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -720000000000000050886813717495364209082368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 3299999999999999852444870085208480448112333165696235699298054508145611586947785588041275029907262011142652024418534915328432333839665416016914954458956794389627666432 binary64)) (+.f64 z x) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -720000000000000050886813717495364209082368 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 3299999999999999852444870085208480448112333165696235699298054508145611586947785588041275029907262011142652024418534915328432333839665416016914954458956794389627666432 binary64)) (+.f64 x z) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -40000000000000000557488467837656396522848256 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 449999999999999975229143352675954904837491885055737890505640890254139094976840977778165634185259372423898440366868174319094914660579274046032072559906902284198477824 binary64)) (+.f64 y (+.f64 z x)) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -40000000000000000557488467837656396522848256 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3950954765291961/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 449999999999999975229143352675954904837491885055737890505640890254139094976840977778165634185259372423898440366868174319094914660579274046032072559906902284198477824 binary64)) (+.f64 y (+.f64 x z)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -130000000000000001040187392 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) (+.f64 (+.f64 z x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -130000000000000001040187392 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) (+.f64 (+.f64 x z) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))) (+.f64 x z)))
(if (<=.f64 y #s(literal -58000000000000004165651664906553080484554866688 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 340 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -58000000000000004165651664906553080484554866688 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 340 binary64)) (+.f64 y (+.f64 x z)) (+.f64 x z)))
(if (<=.f64 x #s(literal -4263988033596151/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 5934344573412455/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -4263988033596151/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (+.f64 x z) (if (<=.f64 x #s(literal 5934344573412455/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (+.f64 y z) (+.f64 x z)))
(if (<=.f64 x #s(literal -3100000000000 binary64)) x (if (<=.f64 x #s(literal 7846377169233351/3138550867693340381917894711603833208051177722232017256448 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -255000000000000 binary64)) x (if (<=.f64 x #s(literal 5021681388309345/12554203470773361527671578846415332832204710888928069025792 binary64)) z x))
(if (<=.f64 x #s(literal -5993757216606705/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) x (if (<=.f64 x #s(literal 8235557476827325/401734511064747568885490523085290650630550748445698208825344 binary64)) y x))
x

soundness1.3s (13.5%)

Rules

4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3142×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	383	3378
1	1280	3194
2	4450	3110
0	8515	3110
0	109	656
1	327	605
2	1051	591
3	2975	583
4	5981	583
0	8259	583
0	382	3547
1	1265	3292
2	4219	3195
0	8652	3195

Stop Event

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

Compiler

Compiled 416 to 225 computations (45.9% saved)

preprocess69.0ms (0.7%)

Compiler: Compiled 464 to 194 computations (58.2% saved)

analyze0.0ms (0%)

sample1.3s (13.8%)

preprocess67.0ms (0.7%)

explain151.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize61.0ms (0.7%)

series11.0ms (0.1%)

rewrite312.0ms (3.3%)

simplify228.0ms (2.4%)

eval86.0ms (0.9%)

prune107.0ms (1.2%)

simplify183.0ms (2%)

localize121.0ms (1.3%)

series21.0ms (0.2%)

rewrite428.0ms (4.6%)

simplify304.0ms (3.3%)

eval201.0ms (2.2%)

prune154.0ms (1.6%)

simplify193.0ms (2.1%)

localize159.0ms (1.7%)

series34.0ms (0.4%)

rewrite614.0ms (6.6%)

simplify398.0ms (4.3%)

eval211.0ms (2.3%)

prune182.0ms (1.9%)

simplify213.0ms (2.3%)

localize153.0ms (1.6%)

series23.0ms (0.2%)

rewrite526.0ms (5.6%)

simplify333.0ms (3.6%)

eval158.0ms (1.7%)

prune160.0ms (1.7%)

regimes81.0ms (0.9%)

regimes47.0ms (0.5%)

regimes30.0ms (0.3%)

regimes59.0ms (0.6%)

regimes49.0ms (0.5%)

regimes60.0ms (0.6%)

regimes9.0ms (0.1%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes37.0ms (0.4%)

regimes4.0ms (0%)

bsearch54.0ms (0.6%)

bsearch44.0ms (0.5%)

bsearch64.0ms (0.7%)

bsearch80.0ms (0.9%)

bsearch44.0ms (0.5%)

bsearch71.0ms (0.8%)

bsearch48.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch33.0ms (0.4%)

bsearch32.0ms (0.3%)

simplify14.0ms (0.1%)

soundness1.3s (13.5%)

preprocess69.0ms (0.7%)

end0.0ms (0%)

Profiling