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 (15%)

Results

1.1s	8251×	0	valid
1.0ms	4×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-sin: 297.0ms (41.8% of total)

ival-cos: 178.0ms (25% of total)

ival-add: 128.0ms (18% of total)

ival-mult: 97.0ms (13.6% of total)

const: 8.0ms (1.1% of total)

backward-pass: 4.0ms (0.6% of total)

Bogosity

preprocess77.0ms (0.9%)

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))

explain122.0ms (1.4%)

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

83.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sin: 20.0ms (45.8% of total)

ival-cos: 12.0ms (27.5% of total)

ival-add: 7.0ms (16% of total)

ival-mult: 4.0ms (9.2% of total)

const: 1.0ms (2.3% 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)

localize56.0ms (0.6%)

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 x (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

36.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-sin: 7.0ms (40.3% of total)

ival-cos: 5.0ms (28.8% of total)

ival-add: 3.0ms (17.3% of total)

ival-mult: 3.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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
1.0ms	x	@	0	(+ (+ x (sin y)) (* z (cos y)))
1.0ms	z	@	0	(* 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)))

rewrite311.0ms (3.5%)

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	393	20
3	6333	20
0	8612	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 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.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 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.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 (.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (*.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 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (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 (sin.f64 y) (+.f64 x (*.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 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))) #s(literal 1 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)))))
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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 (sin.f64 y) (+.f64 x (.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 (sin.f64 y) (+.f64 x (*.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 (.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 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 #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 (.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 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 (.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 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 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)

simplify220.0ms (2.5%)

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	582
2	1052	573
3	2970	565
4	5980	565
0	8258	565

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 z (+.f64 y 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 (.f64 y 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 (*.f64 y 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 (.f64 y 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)

eval40.0ms (0.5%)

Compiler: Compiled 6027 to 531 computations (91.2% saved)

prune32.0ms (0.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	230	15	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	231	15	246

Accuracy

100.0%

Counts

246 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(/.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 (sin.f64 y) (-.f64 x (*.f64 z (cos.f64 y)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
	55.0%	(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))))
	54.1%	(+.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)))))))
▶	56.2%	(+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))))
▶	55.0%	(+.f64 (+.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))))))) (.f64 z (cos.f64 y)))
	80.2%	(+.f64 (+.f64 x (sin.f64 y)) z)
	62.8%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
▶	52.9%	(+.f64 (sin.f64 y) x)
	61.2%	(+.f64 z (+.f64 y x))
	66.6%	(+.f64 z x)
	86.3%	(+.f64 x (*.f64 z (cos.f64 y)))
	55.0%	(.f64 (-.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 (-.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	49.5%	(*.f64 z (cos.f64 y))
▶	39.1%	x

Compiler

Compiled 478 to 300 computations (37.2% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(+.f64 (+.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))))))) (.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	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))

Rules

2348×	`fma-define`
1996×	`fma-lowering-fma.f32`
1996×	`fma-lowering-fma.f64`
1086×	`sum3-define`
1004×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	186
1	83	167
2	277	166
3	762	166
4	1646	166
5	2719	166
6	3288	166
7	3288	166
8	3513	166
0	3513	166

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (sin y) (+ x (* z (cos y))))))
1
(/ 1 (+ (sin y) (+ x (* z (cos y)))))
(+ (sin y) (+ x (* z (cos y))))
(sin y)
y
(+ x (* z (cos y)))
x
(* z (cos y))
z
(cos y)
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
(+ (+ x (* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))) (* z (cos y)))
(+ x (* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))))
x
(* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
y
(+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))
1
(* (* y y) (+ -1/6 (* (* y y) 1/120)))
(* y y)
(+ -1/6 (* (* y y) 1/120))
-1/6
(* (* y y) 1/120)
1/120
(* z (cos y))
z
(cos y)

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

localize183.0ms (2.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.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))))))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (sin.f64 y) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	95.2%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))

Results

139.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 214 to 30 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 14.0ms (26.3% of total)

ival-add: 13.0ms (24.4% of total)

ival-sin: 8.0ms (15% of total)

...c/correct-round.rkt:119:19: 7.0ms (13.1% of total)

ival-cos: 6.0ms (11.3% of total)

ival-div: 5.0ms (9.4% of total)

const: 1.0ms (1.9% of total)

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

series23.0ms (0.3%)

Counts

19 → 408

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (sin y) (+ x (* z (cos y))))))>
#<alt (/ 1 (+ (sin y) (+ x (* z (cos y)))))>
#<alt (+ (sin y) (+ x (* z (cos y))))>
#<alt (sin 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 (+ (+ x (* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))) (* z (cos y)))>
#<alt (+ x (* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))))>
#<alt (* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))>
#<alt (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120))))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (* y -1/2)>
#<alt (* y (* y -1/2))>
#<alt (* (* y y) (+ -1/6 (* (* y y) 1/120)))>
#<alt (* (* y y) 1/120)>

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

Calls

102 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* y (+ 1 (* (* y y) (+ -1/6 (* (* y y) 1/120)))))
1.0ms	y	@	inf	(+ (+ y x) (* z (+ 1 (* y (* y -1/2)))))
1.0ms	x	@	0	(+ (+ y x) (* z (+ 1 (* y (* y -1/2)))))
1.0ms	y	@	0	(/ 1 (+ (sin y) (+ x (* z (cos y)))))
1.0ms	z	@	inf	(/ 1 (+ (sin y) (+ x (* z (cos y)))))

rewrite681.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3626×	`-lowering-.f32`
3626×	`-lowering-.f64`
2732×	`fma-lowering-fma.f32`
2732×	`fma-lowering-fma.f64`
2346×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	146
1	209	129
2	2167	128
0	8731	128

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 599

Calls

Call 1

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

Outputs
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
(+.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x))
(+.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (cos.f64 y)))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 x (.f64 z (cos.f64 y)))) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 (+.f64 x (*.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64)) (.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))) x)
(exp.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))) #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 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))) (/.f64 (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (.f64 #s(literal 1 binary64) (+.f64 x (.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x) (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 1 binary64) (.f64 (sin.f64 y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sin.f64 y) x) #s(literal 1 binary64) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) 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 #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 (.f64 x x) (.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 x (.f64 z (cos.f64 y)))) (sin.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)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.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 (+.f64 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (.f64 z (cos.f64 y))) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))) #s(literal -1 binary64))
(/.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 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (.f64 z (cos.f64 y))) (sin.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 (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.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) (+.f64 x (.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 #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 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (*.f64 z (cos.f64 y))) (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)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 (+.f64 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (.f64 z (cos.f64 y))) (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #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 (sin.f64 y) x) (*.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (+.f64 x (.f64 z (cos.f64 y))) (sin.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (+.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 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.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)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)))) (-.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #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 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))) #s(literal -1 binary64))
(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 (+.f64 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (.f64 z (cos.f64 y))) (sin.f64 y)))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (pow.f64 (+.f64 x (.f64 z (cos.f64 y))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))))
(.f64 (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))))
(.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(.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 #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 x (.f64 z (cos.f64 y))) (-.f64 (+.f64 x (*.f64 z (cos.f64 y))) (sin.f64 y))))))
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(.f64 (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (.f64 z (cos.f64 y)))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y)))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (-.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (-.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -1/2 binary64)) y)
(.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) y)
(+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))))
(+.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(+.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(fma.f64 y (.f64 y #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 y (.f64 y (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 y (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y y)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 y y) #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y y) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/120 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) y) y (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64)))))
(fma.f64 (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) y) y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64)))))) (-.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(/.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 y y))))
(/.f64 (.f64 (+.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)))) (.f64 y y)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 y (.f64 y #s(literal 1/120 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64))) (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 y y))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))))
(.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64)))) (.f64 y y))
(.f64 (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y #s(literal 1/120 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) y)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y #s(literal 1/120 binary64))))) (*.f64 y y))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/120 binary64)) y)

simplify394.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4556×	`-lowering-.f32`
4556×	`-lowering-.f64`
2338×	`+-lowering-+.f64`
2338×	`+-lowering-+.f32`
1344×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	4370
1	1309	3795
2	4402	3712
0	8280	3712

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(+ 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))))
(+ (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 (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 (+ 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 (+ (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 (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))
(+ 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))))
(+ (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 (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)))))
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)
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ 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) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (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 (+ (/ y x) (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))))
(* x (+ 1 (+ (/ y x) (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))))
x
(* -1 (* x (- (* -1 (/ (+ y (* z (+ 1 (* -1/2 (pow y 2))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* z (+ 1 (* -1/2 (pow y 2))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* z (+ 1 (* -1/2 (pow y 2))))) x)) 1)))
(+ x y)
(+ 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))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ (+ x y) 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)))
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(* z (+ 1 (* -1/2 (pow y 2))))
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(* 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))))
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(* (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
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
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))
(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)))
(+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y)))
(+ x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))))
(+ x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))))
(+ x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))))
x
(* x (+ 1 (+ (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* 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)))))))
(* 1/120 (pow y 5))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (+ (/ 1 (pow y 4)) (+ (/ x (pow y 5)) (/ (* z (cos y)) (pow y 5))))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ (+ x (* z (cos y))) (pow y 5))) (* 1/6 (/ 1 (pow y 2)))) (+ 1/120 (/ 1 (pow y 4))))))
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(+ x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))))
(+ x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z))))
(* z (+ (cos y) (+ (/ x z) (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z))))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
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(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
x
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(* x (+ 1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)))
(* x (+ 1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)) 1)))
x
(+ x y)
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(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
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(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ x (pow y 5))) (* 1/6 (/ 1 (pow y 2)))) (+ 1/120 (/ 1 (pow y 4))))))
y
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(* 1/120 (pow y 5))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
1
(+ 1 (* -1/6 (pow y 2)))
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(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
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(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 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)
(* -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)
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/2 (pow y 2))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))
(* 1/120 (pow y 2))

Outputs
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 z (+.f64 x y))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 x (+.f64 y (.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 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)))))))
(+ 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 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 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 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))))
(+ (sin y) (* z (cos y)))
(+.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 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
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(.f64 x (+.f64 (/.f64 (sin.f64 y) x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(.f64 x (+.f64 (/.f64 (sin.f64 y) x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(.f64 x (+.f64 (/.f64 (sin.f64 y) x) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (cos.f64 y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) x)) (-.f64 #s(literal 0 binary64) x))
(+ x (sin y))
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(+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.f64 y))))
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(+.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))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) 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 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(/ 1 (+ x z))
(/.f64 #s(literal 1 binary64) (+.f64 x z))
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z))))
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (.f64 (+.f64 x z) (+.f64 x z))) (/.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 (+.f64 x z) (+.f64 x z))))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x z) (+.f64 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)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (.f64 y (+.f64 (.f64 y (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (.f64 (+.f64 x z) (+.f64 x z))) (/.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 (+.f64 x z) (+.f64 x z)))) (.f64 y (+.f64 (/.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (+.f64 x z) (+.f64 x z))) (+.f64 x z)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (+.f64 x z) (+.f64 x z))) (-.f64 (/.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (+.f64 x z) (+.f64 x z))) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x z) #s(literal 4 binary64))))))))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 x z) (+.f64 x z))))))
(/ 1 (+ x (+ (sin y) (* z (cos y)))))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.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 (+ x (+ (sin y) (* z (cos y)))))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.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 (+ x (+ (sin y) (* z (cos y)))))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.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 (+ x (+ (sin y) (* z (cos y)))))
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (sin.f64 y) (*.f64 z (cos.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 (+ (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 x (pow.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) #s(literal 2 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)))))
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(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))) (/.f64 y x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))) (/.f64 y x))) (-.f64 #s(literal 0 binary64) x))
x
(+ x y)
(+.f64 x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 5) (- (+ 1/120 (+ (/ 1 (pow y 4)) (/ x (pow y 5)))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y)))) #s(literal -1/120 binary64))))
(* -1 (* (pow y 5) (- (+ (* -1 (/ x (pow y 5))) (* 1/6 (/ 1 (pow y 2)))) (+ 1/120 (/ 1 (pow y 4))))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* 1/120 (pow y 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y)))) #s(literal -1/120 binary64))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (*.f64 y y)))) #s(literal -1/120 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y)))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 y y))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y)))) (.f64 (.f64 y y) (.f64 y 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 (.f64 y y) (.f64 z (+.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 (.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)))))))))
(* 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 y (.f64 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 (.f64 y 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)
(* -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))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/2 (pow y 2))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(* -1/6 (pow y 2))
(.f64 #s(literal -1/6 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 (.f64 y y) (*.f64 y y)))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))

eval228.0ms (2.6%)

Compiler: Compiled 39844 to 2486 computations (93.8% saved)

prune191.0ms (2.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1038	21	1059
Fresh	3	7	10
Picked	3	2	5
Done	0	0	0
Total	1044	30	1074

Accuracy

100.0%

Counts

1074 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(fma.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (cos.f64 y)))) (sin.f64 y))
	15.6%	(/.f64 (+.f64 (.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 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
	14.5%	(/.f64 (+.f64 (.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 (.f64 y y) (.f64 x (-.f64 x y)))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
	48.9%	(/.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))
▶	54.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))))))
	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
	49.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	59.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	55.0%	(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))))
	26.7%	(+.f64 (+.f64 y x) (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y y)))))
	61.2%	(+.f64 (+.f64 y x) z)
	52.2%	(+.f64 (+.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))))))) (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))))
	52.0%	(+.f64 (+.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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64)))))))))
	50.6%	(+.f64 (+.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 z (cos.f64 y)))
	80.2%	(+.f64 (+.f64 x (sin.f64 y)) z)
	29.1%	(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x)
	62.8%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	52.9%	(+.f64 (sin.f64 y) x)
	66.6%	(+.f64 z x)
▶	35.0%	(+.f64 y x)
▶	86.3%	(+.f64 x (*.f64 z (cos.f64 y)))
	55.0%	(.f64 (-.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 (-.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	21.8%	(.f64 (.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) y)))
	28.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
	2.6%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
▶	49.5%	(*.f64 z (cos.f64 y))
▶	7.2%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
	16.2%	(sin.f64 y)
✓	39.1%	x

Compiler

Compiled 1231 to 662 computations (46.2% saved)

simplify87.0ms (1%)

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	(+.f64 x z)
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 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))))))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))))))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(+.f64 x (*.f64 z (cos.f64 y)))

Rules

2084×	`fma-define`
1492×	`fma-lowering-fma.f32`
1492×	`fma-lowering-fma.f64`
1036×	`sum3-define`
976×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	153
1	67	145
2	201	140
3	478	140
4	1132	140
5	2129	140
6	2982	140
7	3024	140
0	3024	140

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize173.0ms (2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))))))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 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))))))))
✓	accuracy	100.0%	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Results

113.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 172 to 25 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-cos: 14.0ms (30.5% of total)

ival-mult: 14.0ms (30.5% of total)

ival-add: 9.0ms (19.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (10.9% of total)

ival-div: 4.0ms (8.7% of total)

const: 1.0ms (2.2% of total)

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

series27.0ms (0.3%)

Counts

14 → 348

Calls

Call 1

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

Outputs
#<alt (* z (cos y))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt (* x (+ 1 (/ (* z (cos y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))>
#<alt x>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))>
#<alt (+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* z (cos y)))>
#<alt (+ x (* 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 (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 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 (* 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>
#<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 (* -1/2 (* 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 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 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* 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 (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 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 (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))>
#<alt (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))>
#<alt (+ (* x (- (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 4))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) x) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) x) (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)) x)) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x))>
#<alt (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* -1 (* z (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ (* z (- (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (+ x (* y (+ 1 (* -1/6 (pow y 2)))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (* -1 (/ (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2)))) (+ x (* y (+ 1 (* -1/6 (pow y 2))))))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (/ (+ (* -1 (/ (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2))) z)) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)>
#<alt (/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))))) z)>
#<alt (/ -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (+ (/ x (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (- (* 1/2 (pow y 2)) 1)))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (- (* 1/2 (pow y 2)) 1)))) z)) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))>
#<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 (/ -6 (pow y 3))>
#<alt (/ (- (* 18 (/ z y)) 6) (pow y 3))>
#<alt (/ (- (* -1 (/ (+ 36 (* 54 (pow z 2))) (pow y 2))) (+ 6 (* -18 (/ z y)))) (pow y 3))>
#<alt (/ (- (* -1 (/ (+ (* -108 z) (+ (* -3 (* z (+ 36 (* 54 (pow z 2))))) (* 36 (+ x z)))) (pow y 3))) (+ 6 (+ (* -18 (/ z y)) (+ (* 54 (/ (pow z 2) (pow y 2))) (/ 36 (pow y 2)))))) (pow y 3))>
#<alt (/ -6 (pow y 3))>
#<alt (* -1 (/ (+ 6 (* -18 (/ z y))) (pow y 3)))>
#<alt (* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- 36 (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3)))>
#<alt (* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- (+ 36 (+ (* -108 (/ z y)) (+ (* -3 (/ (* z (- 36 (* -54 (pow z 2)))) y)) (* 36 (/ (+ x z) y))))) (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3)))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))>
#<alt (+ x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* 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 (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 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 (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt y>
#<alt (* y (+ 1 (* -1/2 (* y z))))>
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))>
#<alt (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (* -1/2 (/ z y)) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))>

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/ 1 (+ (+ x z) (* y (+ 1 (* y (+ (* z -1/2) (* y -1/6)))))))
3.0ms	y	@	0	(* y (+ 1 (* z (* y -1/2))))
2.0ms	z	@	0	(/ 1 (+ (+ x z) (* y (+ 1 (* y (+ (* z -1/2) (* y -1/6)))))))
1.0ms	z	@	inf	(/ 1 (+ (+ x z) (* y (+ 1 (* y (+ (* z -1/2) (* y -1/6)))))))
1.0ms	z	@	0	(/ 1 (/ 1 (+ (+ x z) (* y (+ 1 (* y (+ (* z -1/2) (* y -1/6))))))))

rewrite426.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3170×	`-lowering-.f32`
3170×	`-lowering-.f64`
2428×	`+-lowering-+.f64`
2428×	`+-lowering-+.f32`
2344×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	103
1	160	93
2	1568	92
0	8472	92

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 589

Calls

Call 1

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

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

simplify314.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3518×	`-lowering-.f32`
3518×	`-lowering-.f64`
2490×	`+-lowering-+.f64`
2490×	`+-lowering-+.f32`
1588×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	4404
1	1520	3756
2	5478	3703
0	8021	3703

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(* z (cos y))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
x
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
(* x (+ 1 (/ (* z (cos y)) x)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
x
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(+ x (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (+ (cos y) (/ x z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 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)))
(* 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)
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))
(* 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
(+ 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))))
(* -1/2 (* 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 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)
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 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)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))
(+ (* x (- (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 4))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3)))) (/ 1 (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)))) (/ 1 (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x))) x)
(/ (- (+ 1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) x)
(/ 1 x)
(* -1 (/ (- (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2) x) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 3) x) (pow (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) 2)) x)) (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) x)) 1) x))
(/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2))))))
(+ (* -1 (* z (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ (* z (- (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (+ x (* y (+ 1 (* -1/6 (pow y 2)))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (* -1 (/ (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2)))) (+ x (* y (+ 1 (* -1/6 (pow y 2))))))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))) (/ 1 (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2))))) (/ 1 (+ x (* y (+ 1 (* -1/6 (pow y 2)))))))
(/ 1 (* z (+ 1 (* -1/2 (pow y 2)))))
(/ (+ (* -1 (/ (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2))) z)) (/ 1 (+ 1 (* -1/2 (pow y 2))))) z)
(/ (- (+ (/ 1 (+ 1 (* -1/2 (pow y 2)))) (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 3) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (/ 1 (+ 1 (* -1/2 (pow y 2))))) (+ (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (+ 1 (* -1/2 (pow y 2))) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (+ 1 (* -1/2 (pow y 2))) 2)))) (* (pow z 2) (+ 1 (* -1/2 (pow y 2)))))) (+ (/ x (* z (pow (+ 1 (* -1/2 (pow y 2))) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (+ 1 (* -1/2 (pow y 2))) 2)))))) z)
(/ -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (/ (+ (/ 1 (- (* 1/2 (pow y 2)) 1)) (+ (/ x (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (- (* 1/2 (pow y 2)) 1)))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (* y (+ 1 (* -1/6 (pow y 2))))) 2) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (* z (pow (- (* 1/2 (pow y 2)) 1) 2))) (* -1 (/ (* (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) (- (* 1/2 (pow y 2)) 1)))) z)) (+ (/ x (pow (- (* 1/2 (pow y 2)) 1) 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) (pow (- (* 1/2 (pow y 2)) 1) 2)))) z)) (/ 1 (- (* 1/2 (pow y 2)) 1))) z))
(/ 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)))
(/ -6 (pow y 3))
(/ (- (* 18 (/ z y)) 6) (pow y 3))
(/ (- (* -1 (/ (+ 36 (* 54 (pow z 2))) (pow y 2))) (+ 6 (* -18 (/ z y)))) (pow y 3))
(/ (- (* -1 (/ (+ (* -108 z) (+ (* -3 (* z (+ 36 (* 54 (pow z 2))))) (* 36 (+ x z)))) (pow y 3))) (+ 6 (+ (* -18 (/ z y)) (+ (* 54 (/ (pow z 2) (pow y 2))) (/ 36 (pow y 2)))))) (pow y 3))
(/ -6 (pow y 3))
(* -1 (/ (+ 6 (* -18 (/ z y))) (pow y 3)))
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- 36 (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3)))
(* -1 (/ (+ 6 (* -1 (/ (- (* -1 (/ (- (+ 36 (+ (* -108 (/ z y)) (+ (* -3 (/ (* z (- 36 (* -54 (pow z 2)))) y)) (* 36 (/ (+ x z) y))))) (* -54 (pow z 2))) y)) (* -18 z)) y))) (pow y 3)))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 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)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
y
(* y (+ 1 (* -1/2 (* y z))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* y (+ 1 (* -1/6 (pow y 2))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))

Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
x
(* x (+ 1 (/ (* z (cos y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(* x (+ 1 (/ (* z (cos y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(* x (+ 1 (/ (* z (cos y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x))) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x z))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x z))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x z))))
(+ x z)
(+.f64 z x)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
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(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+.f64 (+.f64 z x) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
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(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(+ x (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) x)
(* 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 #s(literal -1/2 binary64) (*.f64 y y))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+.f64 z (.f64 (.f64 y y) (.f64 z (+.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 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y 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 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 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 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y 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)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(.f64 y (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
y
(* y (+ 1 (* -1/2 (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* y (+ 1 (* -1/2 (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* y (+ 1 (* -1/2 (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
y
(+ y (* -1/2 (* (pow y 2) z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+ y (* -1/2 (* (pow y 2) z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(+ y (* -1/2 (* (pow y 2) z)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 y z)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 y z)))
(* z (+ (* -1/2 (pow y 2)) (/ y z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 y z)))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (/.f64 y z)) #s(literal -1 binary64)))
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(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (/.f64 y z)) #s(literal -1 binary64)))
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2)))))
(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (/.f64 y z)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* y z)))
(+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))
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(.f64 z (.f64 y #s(literal -1/2 binary64)))
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#s(literal 1 binary64)
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(.f64 z (.f64 y #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
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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))
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(*.f64 y #s(literal -1/2 binary64))
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(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
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(*.f64 y #s(literal -1/2 binary64))
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(*.f64 y #s(literal -1/2 binary64))
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(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+.f64 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)))))))
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(+.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)))))))
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(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
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(+ 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 (+ 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 (+ 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
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(.f64 x (+.f64 (/.f64 (.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) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(.f64 x (+.f64 (/.f64 (.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) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(.f64 x (+.f64 (/.f64 (.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) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 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))))))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 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))))))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 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))))))) x)) (-.f64 #s(literal 0 binary64) 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 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (+.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64))))) (+.f64 x (.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)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (+.f64 (/.f64 x z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (+.f64 (/.f64 x z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(.f64 z (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y y))) (+.f64 (/.f64 x z) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/2 binary64))))))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 z (-.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) z))))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 z (-.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) z))))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(-.f64 #s(literal 0 binary64) (.f64 z (-.f64 (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))))) z))))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 z (+.f64 y x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 z (+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #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)))))))
(* -1/6 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (+.f64 (+.f64 (/.f64 x (.f64 y (.f64 y y))) (/.f64 z (.f64 y (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64)))))
(* -1/6 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 z #s(literal 1/2 binary64)) y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
z
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(* x (+ 1 (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(* x (+ 1 (/ z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
(+ x z)
(+.f64 z x)
z
(* z (+ 1 (/ x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(* z (+ 1 (/ x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(* z (+ 1 (/ x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
y
(* y (+ 1 (* -1/2 (* y z))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))
(* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))))))
(* -1/6 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 z #s(literal -1/2 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))))
(* -1/6 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 z #s(literal 1/2 binary64)) y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) y)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))))
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ 1 (* -1/6 (pow y 2)))))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))))) (.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64)))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))
(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))) #s(literal -1 binary64)))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))
(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))) #s(literal -1 binary64)))
(* -1 (* z (+ (* -1 (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)) (* 1/2 (pow y 2)))))
(.f64 z (.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/6 binary64)))) (/.f64 y z))) #s(literal -1 binary64)))

eval175.0ms (2%)

Compiler: Compiled 42833 to 2217 computations (94.8% saved)

prune131.0ms (1.5%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	962	14	976
Fresh	9	14	23
Picked	1	4	5
Done	0	2	2
Total	972	34	1006

Accuracy

100.0%

Counts

1006 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(/.f64 (-.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 x x)) (-.f64 (.f64 z (cos.f64 y)) x))
	14.5%	(/.f64 (+.f64 (.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 (.f64 y y) (.f64 x (-.f64 x y)))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
	48.9%	(/.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))
	24.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) x))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
	49.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (.f64 y (.f64 y y))))
	56.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (/.f64 y (+.f64 z x)) (+.f64 z x))))
	59.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	55.0%	(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))))
	61.2%	(+.f64 (+.f64 y x) z)
	50.6%	(+.f64 (+.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 z (cos.f64 y)))
▶	80.2%	(+.f64 (+.f64 x (sin.f64 y)) z)
	62.8%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
✓	52.9%	(+.f64 (sin.f64 y) x)
	28.0%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
▶	28.1%	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	66.6%	(+.f64 z x)
✓	35.0%	(+.f64 y x)
✓	86.3%	(+.f64 x (*.f64 z (cos.f64 y)))
	18.3%	(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
	28.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
	28.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
	2.6%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	49.5%	(*.f64 z (cos.f64 y))
✓	7.2%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
▶	2.6%	(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
	2.8%	(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
	74.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
▶	16.2%	(sin.f64 y)
	30.1%	z
▶	7.5%	y
✓	39.1%	x

Compiler

Compiled 1025 to 590 computations (42.4% saved)

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 y)
✓	cost-diff	(.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
✓	cost-diff	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
✓	cost-diff	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	(sin.f64 y)
✓	cost-diff	(+.f64 x (sin.f64 y))
✓	cost-diff	(+.f64 (+.f64 x (sin.f64 y)) z)

Rules

640×	`fma-define`
488×	`fma-lowering-fma.f32`
488×	`fma-lowering-fma.f64`
440×	`-lowering-.f32`
440×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	47	78
2	147	78
3	358	78
4	587	78
5	649	78
6	681	78
7	796	78
8	846	78
9	871	78
0	871	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ x (sin y)) z)
(+ x (sin y))
x
(sin y)
y
z
y
(* y (* z (* y -1/2)))
y
(* z (* y -1/2))
z
(* y -1/2)
-1/2
(+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))
z
(* (* y y) (* z (+ -1/2 (* (* y y) 1/24))))
(* y y)
y
(* z (+ -1/2 (* (* y y) 1/24)))
(+ -1/2 (* (* y y) 1/24))
-1/2
(* (* y y) 1/24)
1/24
(sin y)
y

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

localize106.0ms (1.2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal 1/24 binary64))
✓	accuracy	94.9%	(.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
✓	accuracy	93.2%	(.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
✓	accuracy	100.0%	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))

Results

83.0ms

256×

valid

Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 11.0ms (37.9% of total)

ival-sin: 7.0ms (24.1% of total)

ival-add: 6.0ms (20.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Counts

11 → 228

Calls

Call 1

Inputs
#<alt (+ (+ x (sin y)) z)>
#<alt (+ x (sin y))>
#<alt (sin y)>
#<alt (* y (* z (* y -1/2)))>
#<alt (* z (* y -1/2))>
#<alt (* y -1/2)>
#<alt (+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))>
#<alt (* (* y y) (* z (+ -1/2 (* (* y y) 1/24))))>
#<alt (* y y)>
#<alt (* z (+ -1/2 (* (* y y) 1/24)))>
#<alt (* (* y y) 1/24)>

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

Calls

57 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(* y -1/2)
1.0ms	z	@	0	(+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))
1.0ms	z	@	inf	(+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))
0.0ms	z	@	0	(* y (* z (* y -1/2)))
0.0ms	y	@	inf	(+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))

rewrite346.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4548×	`-lowering-.f32`
4548×	`-lowering-.f64`
3534×	`/-lowering-/.f32`
3534×	`/-lowering-/.f64`
1758×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	98	59
2	871	59
0	8216	59

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 260

Calls

Call 1

Inputs
(+ (+ x (sin y)) z)
(+ x (sin y))
(sin y)
(* y (* z (* y -1/2)))
(* z (* y -1/2))
(* y -1/2)
(+ z (* (* y y) (* z (+ -1/2 (* (* y y) 1/24)))))
(* (* y y) (* z (+ -1/2 (* (* y y) 1/24))))
(* y y)
(* z (+ -1/2 (* (* y y) 1/24)))
(* (* y y) 1/24)

Outputs
(+.f64 x (+.f64 (sin.f64 y) z))
(+.f64 (sin.f64 y) (+.f64 x z))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 z (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 (sin.f64 y) z) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) z))) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x (-.f64 (sin.f64 y) z)))))
(+.f64 (+.f64 z x) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) z))) (/.f64 (*.f64 z z) (+.f64 x (-.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 x (+.f64 (sin.f64 y) z))))
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(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)))) (.f64 (.f64 z z) #s(literal 1/4 binary64))) (-.f64 (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z #s(literal -1/2 binary64))))
(.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 z (*.f64 y y))))))
(.f64 (.f64 z (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 z (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)))) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64))) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(.f64 y (.f64 y #s(literal 1/24 binary64)))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/24 binary64)) y)

simplify211.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3146×	`-lowering-.f32`
3146×	`-lowering-.f64`
1832×	`+-lowering-+.f64`
1832×	`+-lowering-+.f32`
1592×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1648
1	309	1452
2	898	1412
3	2860	1363
4	6886	1363
0	8096	1363

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval134.0ms (1.5%)

Compiler: Compiled 11878 to 995 computations (91.6% saved)

prune110.0ms (1.2%)

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	514	5	519
Fresh	2	21	23
Picked	1	4	5
Done	0	6	6
Total	517	36	553

Accuracy

100.0%

Counts

553 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.5%	(/.f64 (-.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 x x)) (-.f64 (.f64 z (cos.f64 y)) x))
	14.5%	(/.f64 (+.f64 (.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 (.f64 y y) (.f64 x (-.f64 x y)))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
	6.6%	(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))))) (+.f64 (.f64 z z) (.f64 (.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 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))) z))))
	48.9%	(/.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))
	24.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) x))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
	49.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	39.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (.f64 y (.f64 y y))))
	56.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (/.f64 y (+.f64 z x)) (+.f64 z x))))
	59.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	55.0%	(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))))
	61.2%	(+.f64 (+.f64 y x) z)
	50.6%	(+.f64 (+.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 z (cos.f64 y)))
	62.8%	(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
	43.3%	(+.f64 (sin.f64 y) z)
✓	52.9%	(+.f64 (sin.f64 y) x)
	28.0%	(+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
✓	28.1%	(+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
	28.0%	(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
	66.6%	(+.f64 z x)
✓	35.0%	(+.f64 y x)
✓	86.3%	(+.f64 x (*.f64 z (cos.f64 y)))
	18.3%	(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
	2.6%	(.f64 (.f64 z (*.f64 y y)) #s(literal -1/2 binary64))
	28.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
✓	49.5%	(*.f64 z (cos.f64 y))
✓	7.2%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
✓	2.6%	(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
	2.8%	(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
	2.9%	(.f64 y (.f64 #s(literal 1/24 binary64) (.f64 (.f64 z (*.f64 y y)) y)))
	74.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
✓	16.2%	(sin.f64 y)
	30.1%	z
✓	7.5%	y
✓	39.1%	x

Compiler

Compiled 1569 to 554 computations (64.7% saved)

regimes74.0ms (0.8%)

Counts

56 → 1

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z (+.f64 y x))
(+.f64 (+.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 z (*.f64 y y)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal 1/24 binary64) (.f64 (.f64 z (*.f64 y y)) y)))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x)
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(+.f64 (+.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 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) y)))
(+.f64 (+.f64 y x) (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y 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)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (/.f64 y (+.f64 z x)) (+.f64 z x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 (+.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))))))) (+.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 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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64)))))))))
(/.f64 (+.f64 (.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 (.f64 y y) (.f64 x (-.f64 x y)))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))))) (+.f64 (.f64 z z) (.f64 (.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 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))) z))))
(/.f64 (+.f64 (.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 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(+.f64 (+.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 z (cos.f64 y)))
(+.f64 (+.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))))))) (.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 (sin.f64 y) (+.f64 x (*.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 #s(literal 2 binary64) y))))) (.f64 x x)) (-.f64 (.f64 z (cos.f64 y)) x))
(fma.f64 (-.f64 (.f64 x x) (.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 x (.f64 z (cos.f64 y)))) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) x))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (-.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 (-.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 (sin.f64 y) (-.f64 x (*.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 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 (sin.f64 y) (-.f64 x (.f64 z (cos.f64 y)))))))

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

Calls

4 calls:

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

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)

regimes69.0ms (0.8%)

Counts

47 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 z (+.f64 y x))
(+.f64 (+.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 y (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(.f64 y (.f64 z (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(.f64 (.f64 z (*.f64 y y)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 y #s(literal -1/2 binary64)))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 z (.f64 (.f64 y y) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 #s(literal 1/24 binary64) (.f64 (.f64 z (*.f64 y y)) y)))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 y y)))) x)
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(+.f64 (+.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 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) y)))
(+.f64 (+.f64 y x) (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 z (.f64 y 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)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (/.f64 (/.f64 y (+.f64 z x)) (+.f64 z x))))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))))
(+.f64 (+.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))))))) (+.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 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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64)))))))))
(/.f64 (+.f64 (.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 (.f64 y y) (.f64 x (-.f64 x y)))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))))) (+.f64 (.f64 z z) (.f64 (.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 z (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))) z))))
(/.f64 (+.f64 (.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 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (.f64 (-.f64 z (.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))))) (/.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (cos.f64 y) x))))
(+.f64 (+.f64 x (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))) (.f64 z (cos.f64 y)))
(+.f64 (+.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))))))) (.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:

35.0ms	y
14.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
97.3%	3	`x`
90.8%	3	`y`
99.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.3%)

Counts

41 → 3

Calls

Call 1

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

12.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
90.1%	3	`x`
96.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes62.0ms (0.7%)

Counts

40 → 5

Calls

Call 1

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

Calls

3 calls:

33.0ms	x
12.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
79.8%	4	`x`
82.1%	5	`y`
88.8%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.5%)

Counts

38 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
73.8%	3	`y`
78.6%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes46.0ms (0.5%)

Counts

37 → 3

Calls

Call 1

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

Outputs

(+.f64 z x)

(+.f64 (+.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))))))) (*.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 (*.f64 y y) #s(literal -1/720 binary64)))))))))

(+.f64 z x)

Calls

3 calls:

22.0ms	x
10.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
71.2%	3	`y`
70.5%	3	`x`
66.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.2%)

Counts

32 → 3

Calls

Call 1

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

Outputs

(+.f64 z x)

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

(+.f64 z x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
71.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

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

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

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
71.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
71.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
71.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 z x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
66.6%	1	`x`
66.6%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
x
z
x

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
50.4%	4	`y`
53.1%	3	`z`
53.6%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
39.1%	1	`y`
39.1%	1	`z`
42.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
39.1%	1	`z`
39.1%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.2626776410416776e-13	0.07297780941985417
22.0ms	-60141234751038810.0	-64073826978454.71

Results

25.0ms

176×

valid

Compiler

Compiled 238 to 167 computations (29.8% saved)

Precisions

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

ival-sin: 8.0ms (46% of total)

ival-cos: 6.0ms (34.5% of total)

ival-add: 2.0ms (11.5% of total)

ival-mult: 2.0ms (11.5% 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
22.0ms	1.2626776410416776e-13	0.07297780941985417
19.0ms	-1.0640160772932095e-152	-4.606616542883204e-157

Results

32.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 8.0ms (41.2% of total)

ival-cos: 6.0ms (30.9% of total)

ival-add: 3.0ms (15.5% of total)

ival-mult: 2.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch122.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	7.590724354877436e+111	3.4630674416937456e+114
22.0ms	1.2626776410416776e-13	0.07297780941985417
49.0ms	-1.0640160772932095e-152	-4.606616542883204e-157
23.0ms	-6.952221378970216e+36	-3.7120090141407118e+31

Results

97.0ms	559×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 543 to 398 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sin: 20.0ms (45.5% of total)

ival-cos: 13.0ms (29.6% of total)

ival-add: 6.0ms (13.6% of total)

ival-mult: 4.0ms (9.1% of total)

const: 1.0ms (2.3% of total)

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

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.590724354877436e+111	3.4630674416937456e+114
45.0ms	-6.952221378970216e+36	-3.7120090141407118e+31

Results

39.0ms

272×

valid

Compiler

Compiled 273 to 200 computations (26.7% saved)

Precisions

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

ival-sin: 7.0ms (38.4% of total)

ival-cos: 6.0ms (32.9% of total)

ival-add: 3.0ms (16.4% of total)

ival-mult: 2.0ms (11% 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×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.782359870123421e-31	6.259909613286874e-25
30.0ms	-213874946.3055044	-0.5637293313902121

Results

31.0ms

240×

valid

Compiler

Compiled 768 to 463 computations (39.7% saved)

Precisions

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

ival-sin: 12.0ms (55.6% of total)

ival-cos: 5.0ms (23.2% of total)

ival-add: 3.0ms (13.9% of total)

ival-mult: 2.0ms (9.3% of total)

const: 0.0ms (0% of total)

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

bsearch68.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.782359870123421e-31	6.259909613286874e-25
34.0ms	-213874946.3055044	-0.5637293313902121

Results

44.0ms

288×

valid

Compiler

Compiled 810 to 499 computations (38.4% saved)

Precisions

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

ival-sin: 6.0ms (34.6% of total)

ival-cos: 5.0ms (28.8% of total)

ival-add: 3.0ms (17.3% of total)

ival-mult: 2.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

bsearch82.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	1.782359870123421e-31	6.259909613286874e-25
27.0ms	-213874946.3055044	-0.5637293313902121

Results

32.0ms

288×

valid

Compiler

Compiled 522 to 373 computations (28.5% saved)

Precisions

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

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

ival-sin: 6.0ms (30.5% of total)

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

ival-mult: 2.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.782359870123421e-31	6.259909613286874e-25
26.0ms	-213874946.3055044	-0.5637293313902121

Results

34.0ms

288×

valid

Compiler

Compiled 450 to 319 computations (29.1% saved)

Precisions

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

ival-cos: 8.0ms (40.1% of total)

ival-sin: 6.0ms (30.1% of total)

ival-add: 3.0ms (15.1% of total)

ival-mult: 2.0ms (10% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.2262806387972666e+20	5.272799659813333e+21
25.0ms	-4.48448241047834e+77	-9.608800183834783e+70

Results

35.0ms

256×

valid

Compiler

Compiled 274 to 189 computations (31% saved)

Precisions

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

ival-sin: 10.0ms (41.7% of total)

ival-cos: 8.0ms (33.3% of total)

ival-add: 3.0ms (12.5% of total)

ival-mult: 2.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	298813298131219500.0	2.208682309675927e+20
26.0ms	-1.0816471953552918e-38	-2.8896259404249615e-49

Results

36.0ms

288×

valid

Compiler

Compiled 198 to 157 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 8.0ms (38.2% of total)

ival-sin: 7.0ms (33.5% of total)

ival-add: 3.0ms (14.3% of total)

ival-mult: 2.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.168712065996529e-159	1.433950087730927e-159
18.0ms	-5.189770178809254e-65	-8.8165589834257e-67

Results

18.0ms

144×

valid

Compiler

Compiled 108 to 85 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (32.9% of total)

ival-sin: 3.0ms (32.9% of total)

ival-add: 2.0ms (21.9% of total)

ival-mult: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`+-commutative_binary64`
36×	`*-commutative_binary64`
20×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	292
1	192	292

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -65000000000000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 2611279770367599/19342813113834066795298816 binary64)) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -3549999999999999893261182849515520 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 1188422437713965/2475880078570760549798248448 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 3100000000000000048234190001347213375231424330455290443446288799335584721610742680121454708736647087796239470690304 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -294999999999999992591604425728983040 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -80 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64))))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -15/2 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -370 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 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 -2589569785738035/562949953421312 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -122000000000000001186357534217122393599586542225329760479526028050432000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1260000000000000000000 binary64)) (+.f64 z (+.f64 y x)) (+.f64 z x)))
(+.f64 z x)
(if (<=.f64 x #s(literal -6129982163463555/766247770432944429179173513575154591809369561091801088 binary64)) x (if (<=.f64 x #s(literal 2300000000000000000 binary64)) z x))
(if (<=.f64 x #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x (if (<=.f64 x #s(literal 2770100496498771/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) y x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -65000000000000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 7378697629483821/73786976294838206464 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 2611279770367599/19342813113834066795298816 binary64)) (+.f64 (sin.f64 y) x) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 2611279770367599/19342813113834066795298816 binary64)) (+.f64 x (sin.f64 y)) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -3549999999999999893261182849515520 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 1188422437713965/2475880078570760549798248448 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 3100000000000000048234190001347213375231424330455290443446288799335584721610742680121454708736647087796239470690304 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -3549999999999999893261182849515520 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -4953325682578273/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 1188422437713965/2475880078570760549798248448 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 3100000000000000048234190001347213375231424330455290443446288799335584721610742680121454708736647087796239470690304 binary64)) (+.f64 x z) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -294999999999999992591604425728983040 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -294999999999999992591604425728983040 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 42999999999999998276749413335654957761108349157707273279871069919074750249397894479508278892029624224359332708352 binary64)) (+.f64 x z) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -80 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64))))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -80 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 5444517870735015/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (.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 (.f64 y y) #s(literal -1/720 binary64))))))))) (+.f64 x z)))
(if (<=.f64 y #s(literal -15/2 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -15/2 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.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))))))) (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))))) (+.f64 x z)))
(if (<=.f64 y #s(literal -370 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 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 -370 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 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 -2589569785738035/562949953421312 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.f64 y x) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) (+.f64 z x)))
(if (<=.f64 y #s(literal -2589569785738035/562949953421312 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 6751202159711419/10889035741470030830827987437816582766592 binary64)) (+.f64 (+.f64 x y) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal -1/2 binary64)))))) (+.f64 x z)))
(if (<=.f64 y #s(literal -122000000000000001186357534217122393599586542225329760479526028050432000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 1260000000000000000000 binary64)) (+.f64 z (+.f64 y x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -122000000000000001186357534217122393599586542225329760479526028050432000 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 1260000000000000000000 binary64)) (+.f64 z (+.f64 x y)) (+.f64 x z)))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x #s(literal -6129982163463555/766247770432944429179173513575154591809369561091801088 binary64)) x (if (<=.f64 x #s(literal 2300000000000000000 binary64)) z x))
(if (<=.f64 x #s(literal -2845706385096283/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x (if (<=.f64 x #s(literal 2770100496498771/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088 binary64)) y x))
x

soundness1.3s (15.3%)

Rules

4556×	`-lowering-.f32`
4556×	`-lowering-.f64`
3518×	`-lowering-.f32`
3518×	`-lowering-.f64`
2490×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	451	4404
1	1520	3756
2	5478	3703
0	8021	3703
0	109	656
1	327	582
2	1052	573
3	2970	565
4	5980	565
0	8258	565
0	402	4370
1	1309	3795
2	4402	3712
0	8280	3712

Stop Event

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

Compiler

Compiled 620 to 316 computations (49% saved)

preprocess109.0ms (1.2%)

Compiler: Compiled 660 to 252 computations (61.8% saved)

Iter	Nodes	Cost
0	17	84
1	47	78
2	147	78
3	358	78
4	587	78
5	649	78
6	681	78
7	796	78
8	846	78
9	871	78
0	871	78

Iter	Nodes	Cost
0	17	84
1	47	78
2	147	78
3	358	78
4	587	78
5	649	78
6	681	78
7	796	78
8	846	78
9	871	78
0	871	78

analyze0.0ms (0%)

sample1.3s (15%)

preprocess77.0ms (0.9%)

explain122.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize56.0ms (0.6%)

series6.0ms (0.1%)

rewrite311.0ms (3.5%)

simplify220.0ms (2.5%)

eval40.0ms (0.5%)

prune32.0ms (0.4%)

simplify106.0ms (1.2%)

localize183.0ms (2.1%)

series23.0ms (0.3%)

rewrite681.0ms (7.7%)

simplify394.0ms (4.5%)

eval228.0ms (2.6%)

prune191.0ms (2.2%)

simplify87.0ms (1%)

localize173.0ms (2%)

series27.0ms (0.3%)

rewrite426.0ms (4.8%)

simplify314.0ms (3.6%)

eval175.0ms (2%)

prune131.0ms (1.5%)

simplify33.0ms (0.4%)

localize106.0ms (1.2%)

series22.0ms (0.3%)

rewrite346.0ms (3.9%)

simplify211.0ms (2.4%)

eval134.0ms (1.5%)

prune110.0ms (1.2%)

regimes74.0ms (0.8%)

regimes69.0ms (0.8%)

regimes29.0ms (0.3%)

regimes62.0ms (0.7%)

regimes41.0ms (0.5%)

regimes46.0ms (0.5%)

regimes18.0ms (0.2%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch32.0ms (0.4%)

bsearch44.0ms (0.5%)

bsearch122.0ms (1.4%)

bsearch74.0ms (0.8%)

bsearch48.0ms (0.5%)

bsearch68.0ms (0.8%)

bsearch82.0ms (0.9%)

bsearch46.0ms (0.5%)

bsearch47.0ms (0.5%)

bsearch47.0ms (0.5%)

bsearch24.0ms (0.3%)

simplify16.0ms (0.2%)

soundness1.3s (15.3%)

preprocess109.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	84
1	47	78
2	147	78
3	358	78
4	587	78
5	649	78
6	681	78
7	796	78
8	846	78
9	871	78
0	871	78