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

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-sub: 0.0ms (0% of total)

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)

sample1.2s (12.1%)

Results

955.0ms	8252×	0	valid
3.0ms	3×	3	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 562.0ms

ival-cos: 202.0ms (36% of total)

ival-sin: 177.0ms (31.5% of total)

ival-mult: 76.0ms (13.5% of total)

ival-add: 52.0ms (9.3% of total)

ival-sub: 43.0ms (7.7% of total)

const: 8.0ms (1.4% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess126.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

2748×	`sum4-define`
2252×	`sum5-define`
1828×	`fnmadd-define`
1772×	`sum3-define`
1472×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	105	89
2	287	83
3	753	80
4	2966	80
5	6729	80
0	8	9
1	17	9
2	41	8
3	73	8
4	144	8
5	392	8
6	771	8
7	1441	8
8	1932	8
9	2915	8
10	3283	8
11	3317	8
0	3317	8

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

explain138.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

87.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 15.0ms (30.7% of total)

ival-sin: 15.0ms (30.7% of total)

ival-cos: 12.0ms (24.6% of total)

ival-add: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

const: 1.0ms (2% 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 (cos.f64 y)) (*.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1472×	`sum5-define`
996×	`sum4-define`
832×	`sum3-define`
646×	`fnmadd-define`
456×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	24
2	41	23
3	73	23
4	144	23
5	392	23
6	771	23
7	1441	23
8	1932	23
9	2915	23
10	3283	23
11	3317	23
0	3317	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize88.0ms (0.9%)

Localize:

Found 4 expressions of interest:

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

Results

79.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 45.0ms (75.4% of total)

ival-cos: 6.0ms (10% of total)

ival-sin: 5.0ms (8.4% of total)

ival-add: 2.0ms (3.3% of total)

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

const: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	(+ x (cos y))
1.0ms	x	@	0	(- (+ x (cos y)) (* z (sin y)))
1.0ms	z	@	0	(* z (sin y))
1.0ms	y	@	inf	(- (+ x (cos y)) (* z (sin y)))
0.0ms	z	@	0	(- (+ x (cos y)) (* z (sin y)))

rewrite367.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3852×	`-lowering-.f32`
3852×	`-lowering-.f64`
2510×	`/-lowering-/.f32`
2510×	`/-lowering-/.f64`
1746×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	42	19
2	414	18
3	6347	18
0	8306	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 155

Calls

Call 1

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

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

simplify269.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2272×	`fma-lowering-fma.f32`
2272×	`fma-lowering-fma.f64`
2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
1760×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	629
1	306	570
2	937	562
3	2781	561
4	6397	561
0	8401	561

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval29.0ms (0.3%)

Compiler: Compiled 6747 to 582 computations (91.4% saved)

prune59.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	234	17	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	17	252

Accuracy

99.9%

Counts

252 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
	51.1%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))))
	64.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
	58.3%	(-.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.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 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	89.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
▶	58.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	70.0%	(-.f64 x (*.f64 z (sin.f64 y)))
	54.8%	(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
	71.5%	(+.f64 (cos.f64 y) x)
	61.7%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
▶	54.4%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
	61.8%	(+.f64 x #s(literal 1 binary64))
	64.5%	(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	51.1%	(.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))))
	89.6%	(*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)))
▶	42.2%	x

Compiler

Compiled 666 to 380 computations (42.9% saved)

simplify231.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x (cos.f64 y))
✓	cost-diff	0	(pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (+.f64 x (cos.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)))))))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))
✓	cost-diff	0	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
✓	cost-diff	0	(+.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Rules

2526×	`+-lowering-+.f64`
2526×	`+-lowering-+.f32`
2398×	`-lowering-.f32`
2398×	`-lowering-.f64`
1428×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	254
1	94	243
2	268	233
3	827	233
4	2793	233
5	7213	233
0	8248	233

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize372.0ms (3.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.9%	(-.f64 (pow.f64 (+.f64 x (cos.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)))))))
✓	accuracy	88.2%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
✓	accuracy	74.7%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	accuracy	64.9%	(/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)
✓	accuracy	100.0%	(.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y z) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 y z) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Results

203.0ms	117×	1	valid
97.0ms	130×	0	valid
18.0ms	9×	2	valid

Compiler

Compiled 273 to 35 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-cos: 39.0ms (25.7% of total)

ival-mult: 38.0ms (25.1% of total)

ival-sin: 18.0ms (11.9% of total)

backward-pass: 14.0ms (9.2% of total)

ival-sub: 11.0ms (7.3% of total)

ival-add: 11.0ms (7.3% of total)

ival-div: 8.0ms (5.3% of total)

...c/correct-round.rkt:119:19: 6.0ms (4% of total)

ival-pow: 5.0ms (3.3% of total)

const: 1.0ms (0.7% of total)

series56.0ms (0.6%)

Counts

19 → 492

Calls

Call 1

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

Outputs
#<alt (- (cos y) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt x>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (- (+ x (cos y)) (* z (sin y)))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ 1 (- (cos y) (* z (sin y))))>
#<alt (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))>
#<alt (/ 1 x)>
#<alt (/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (+ x (cos y)) (* z (sin y))))>
#<alt (/ 1 (+ x (cos y)))>
#<alt (+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)>
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#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (/ (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ x (+ (cos y) (* z (sin y)))))>
#<alt (+ x (cos y))>
#<alt (+ x (+ (cos y) (* -1 (* z (sin y)))))>
#<alt (+ x (+ (cos y) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (+ x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (+ x (cos y)))) (* 1/2 (/ 1 (+ x (cos y))))))) (sin y)))))>
#<alt (+ x (+ (cos y) (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (+ x (cos y)))) (+ (* -1 (/ (pow (sin y) 2) (+ x (cos y)))) (* 1/2 (/ 1 (+ x (cos y)))))))) (+ x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (+ x (cos y))))) (+ (* -1 (/ (pow (sin y) 2) (+ x (cos y)))) (* 1/2 (/ 1 (+ x (cos y))))))) (sin y)))))>
#<alt (/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))>
#<alt (* z (- (+ (* -1 (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y)))))>
#<alt (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow (+ x (cos y)) 2) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))>
#<alt (* z (- (+ (* -1 (/ (* (+ x (cos y)) (- (/ (pow (+ x (cos y)) 2) (sin y)) (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (pow (+ x (cos y)) 2) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (* z (pow (sin y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (cos y)) 2) (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (pow (+ x (cos y)) 2) (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3)))) (* z (sin y)))) (* -1 (/ (pow (+ x (cos y)) 2) (sin y)))) (/ (* (pow (+ x (cos y)) 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 3))) z)) (/ (* (+ x (cos y)) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (sin y) 2))) z)) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))))))>
#<alt (- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ (* 2 (* x (cos y))) (pow (cos y) 2)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))>
#<alt (* (pow x 2) (- (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))>
#<alt (* (pow x 2) (- (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))) x))))>
#<alt (pow (+ 1 x) 2)>
#<alt (+ (* (pow y 2) (- (* -1 (+ 1 x)) (pow z 2))) (pow (+ 1 x) 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (+ 1 x)) (* (pow y 2) (- (+ 1/4 (* 1/12 (+ 1 x))) (* -1/3 (pow z 2))))) (pow z 2))) (pow (+ 1 x) 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (+ 1 x)) (* (pow y 2) (- (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) (+ 1/24 (* 2/45 (pow z 2))))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow (+ 1 x) 2))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (pow (+ x (cos y)) 2)>
#<alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))>
#<alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))>
#<alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))>
#<alt (pow (cos y) 2)>
#<alt (+ (* 2 (* x (cos y))) (pow (cos y) 2))>
#<alt (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))>
#<alt (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))>
#<alt (pow (+ 1 x) 2)>
#<alt (+ (* -1 (* (pow y 2) (+ 1 x))) (pow (+ 1 x) 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (* 1/12 (+ 1 x)))))) (pow (+ 1 x) 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) 1/24))))))) (pow (+ 1 x) 2))>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (pow (+ x (cos y)) 2)>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* 1/6 (* y z))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* y (- (* 1/6 (* y z)) 1/2))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow y 2) (pow z 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>

Calls

123 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(- (pow (+ x (cos y)) 2) (* (* z z) (- 1/2 (* 1/2 (cos (* y 2))))))
3.0ms	x	@	-inf	(/ (- (pow (+ x (cos y)) 2) (* (* z z) (- 1/2 (* 1/2 (cos (* y 2)))))) (+ (+ x (cos y)) (* z (sin y))))
2.0ms	y	@	-inf	(/ (- (pow (+ x (cos y)) 2) (* (* z z) (- 1/2 (* 1/2 (cos (* y 2)))))) (+ (+ x (cos y)) (* z (sin y))))
2.0ms	x	@	0	(+ x (+ 1 (* y (- (* y (+ -1/2 (* (* y z) 1/6))) z))))
2.0ms	y	@	inf	(/ (- (pow (+ x (cos y)) 2) (* (* z z) (- 1/2 (* 1/2 (cos (* y 2)))))) (+ (+ x (cos y)) (* z (sin y))))

rewrite544.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3264×	`-lowering-.f32`
3264×	`-lowering-.f64`
2312×	`fma-lowering-fma.f32`
2312×	`fma-lowering-fma.f64`
1948×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	165
1	229	156
2	2090	134
0	8526	134

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 783

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (.f64 z (sin.f64 y))))
(+.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (sin.f64 y) (.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(+.f64 (/.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 z z) (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y))))))))
(+.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (+.f64 x (cos.f64 y)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))) (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (.f64 (+.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)))
(+.f64 (fma.f64 (+.f64 x (cos.f64 y)) (/.f64 (+.f64 x (cos.f64 y)) (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y))))) z))) (fma.f64 (neg.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 x (+.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) z (.f64 (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (+.f64 x (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) z)))
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(/.f64 (-.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))))))
(/.f64 (.f64 y (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) (-.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 y (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)))) y) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) (-.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 y z) (.f64 y z)) #s(literal 1/36 binary64))) y) (-.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64)))) y)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #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 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (sin.f64 y))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (.f64 z z)))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(fma.f64 (.f64 z z) #s(literal 1/2 binary64) (.f64 (.f64 z z) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 z z) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (*.f64 z z)))
(/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 z z)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 2 binary64)))))))) (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) #s(literal 2 binary64))
(.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(.f64 z (.f64 (sin.f64 y) (*.f64 z (sin.f64 y))))
(.f64 (sin.f64 y) (.f64 z (*.f64 z (sin.f64 y))))
(.f64 (.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z))
(.f64 (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))
(.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)
(.f64 (.f64 (*.f64 z (sin.f64 y)) z) (sin.f64 y))
(.f64 (.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)

simplify468.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

5156×	`-lowering-.f32`
5156×	`-lowering-.f64`
4524×	`+-lowering-+.f64`
4524×	`+-lowering-+.f32`
1512×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	7263
1	2696	6439
0	8754	6439

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(/ 1 (- (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (- (cos y) (* z (sin y))) 3)) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 4))) (/ 1 (pow (- (cos y) (* z (sin y))) 3)))) (/ 1 (pow (- (cos y) (* z (sin y))) 2)))) (/ 1 (- (cos y) (* z (sin y)))))
(/ 1 x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
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(- (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2)) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (- (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(* (pow x 2) (- (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) x))) x))))
(pow (+ 1 x) 2)
(+ (* (pow y 2) (- (* -1 (+ 1 x)) (pow z 2))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (- (+ (* -1 (+ 1 x)) (* (pow y 2) (- (+ 1/4 (* 1/12 (+ 1 x))) (* -1/3 (pow z 2))))) (pow z 2))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (- (+ (* -1 (+ 1 x)) (* (pow y 2) (- (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) (+ 1/24 (* 2/45 (pow z 2))))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow (+ 1 x) 2))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (pow (+ x (cos y)) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(pow (+ x (cos y)) 2)
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (+ x (cos y)) 2))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(pow (cos y) 2)
(+ (* 2 (* x (cos y))) (pow (cos y) 2))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))
(pow (+ 1 x) 2)
(+ (* -1 (* (pow y 2) (+ 1 x))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (* 1/12 (+ 1 x)))))) (pow (+ 1 x) 2))
(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) 1/24))))))) (pow (+ 1 x) 2))
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(pow (+ x (cos y)) 2)
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
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(* 1/6 (* y z))
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(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
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(* 1/6 (* y z))
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(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* -1/2 y)
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(* y (- (* 1/6 (* y z)) 1/2))
(* y (- (* 1/6 (* y z)) 1/2))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(* 1/6 (* (pow y 2) z))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))

Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
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(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
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(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(* -1 (* z (sin y)))
(*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
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(*.f64 z (+.f64 (/.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))))
(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(*.f64 (+.f64 (/.f64 (+.f64 (cos.f64 y) x) (-.f64 #s(literal 0 binary64) z)) (sin.f64 y)) (-.f64 #s(literal 0 binary64) z))
(/ 1 (- (cos y) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+ (* -1 (/ x (pow (- (cos y) (* z (sin y))) 2))) (/ 1 (- (cos y) (* z (sin y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 x (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))))
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ (* z (sin y)) x)) (/ (cos y) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2))) (/ (* z (sin y)) x))) (/ (cos y) x)) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x))) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x)) x)
(/ (- (+ 1 (+ (/ (* z (sin y)) x) (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) (pow x 3)))) (+ (/ (cos y) x) (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (.f64 x (.f64 x x))) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (+.f64 (/.f64 (cos.f64 y) x) (.f64 (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)))))) x)
(/ 1 x)
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(* -1 (/ (- (* -1 (/ (- (* z (sin y)) (cos y)) x)) 1) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x))) (cos.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (cos y) (* z (sin y))) 2) (- (* z (sin y)) (cos y))) x)) (* -1 (* (- (cos y) (* z (sin y))) (- (* z (sin y)) (cos y))))) x)) (* z (sin y))) (cos y)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (.f64 z (sin.f64 y)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) x))) (.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))) x)) (cos.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
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(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
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(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 y (+.f64 (.f64 y (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 y (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 z (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 z (+.f64 x #s(literal 1 binary64))))) (+.f64 x #s(literal 1 binary64))))))) (.f64 (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 z (+.f64 x #s(literal 1 binary64)))))) (/.f64 z (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/ 1 (- (+ x (cos y)) (* z (sin y))))
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(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(.f64 (.f64 z z) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(.f64 (.f64 z z) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(.f64 (.f64 z z) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(.f64 (.f64 z z) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(.f64 (.f64 z z) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (pow (+ x (cos y)) 2) (pow z 2))) 1/2))
(.f64 (.f64 z z) (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 z z)) (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(+ (* 2 (* x (cos y))) (pow (cos y) 2))
(.f64 (cos.f64 y) (+.f64 (cos.f64 y) (.f64 #s(literal 2 binary64) x)))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(+.f64 (.f64 x x) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) x))))
(+ (* x (+ x (* 2 (cos y)))) (pow (cos y) 2))
(+.f64 (.f64 x x) (.f64 (cos.f64 y) (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (cos y) x)) (/ (pow (cos y) 2) (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ (cos y) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 (cos y)) (* -1 (/ (pow (cos y) 2) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x)))
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(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x)))
(pow (+ 1 x) 2)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+ (* -1 (* (pow y 2) (+ 1 x))) (pow (+ 1 x) 2))
(.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 y y))))
(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (* 1/12 (+ 1 x)))))) (pow (+ 1 x) 2))
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(+ (* (pow y 2) (+ (* -1 (+ 1 x)) (* (pow y 2) (+ 1/4 (+ (* 1/12 (+ 1 x)) (* (pow y 2) (- (* -1/360 (+ 1 x)) 1/24))))))) (pow (+ 1 x) 2))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) (+.f64 (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/12 binary64) x)) (.f64 (.f64 y y) (+.f64 #s(literal -1/360 binary64) (+.f64 (*.f64 #s(literal -1/360 binary64) x) #s(literal -1/24 binary64)))))) (+.f64 x #s(literal 1 binary64)))))
(pow (+ x (cos y)) 2)
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(pow (+ x (cos y)) 2)
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(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(pow (+ x (cos y)) 2)
(pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
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(.f64 (.f64 y z) #s(literal 1/6 binary64))
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(.f64 (.f64 y z) #s(literal 1/6 binary64))
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(.f64 (.f64 y z) #s(literal 1/6 binary64))
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(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/6 (* y z)) 1/2))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(* y (- (* 1/6 (* y z)) 1/2))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(* y (- (* 1/6 (* y z)) 1/2))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(* 1/6 (* (pow y 2) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* 1/6 (* (pow y 2) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(.f64 (.f64 y y) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 1/6 (* (pow y 2) z)))
(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(* 1/6 (* (pow y 2) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(* z (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))))
(.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (/.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(* 1/6 (* (pow y 2) z))
(.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (/.f64 (.f64 y #s(literal 1/2 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (/.f64 (.f64 y #s(literal 1/2 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z)))))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (/.f64 (.f64 y #s(literal 1/2 binary64)) z)) (-.f64 #s(literal 0 binary64) z))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 2/45 binary64) (.f64 (.f64 y y) #s(literal -1/315 binary64)))) #s(literal -1/3 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow y 2) (pow z 2))
(.f64 (.f64 y z) (*.f64 y z))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(.f64 (.f64 y y) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/3 binary64))) (.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (.f64 z z) (+.f64 (.f64 (*.f64 y y) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z z) #s(literal -1/3 binary64)) (.f64 (.f64 y y) (.f64 (.f64 z z) (+.f64 #s(literal 2/45 binary64) (.f64 (*.f64 y y) #s(literal -1/315 binary64)))))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))

eval236.0ms (2.4%)

Compiler: Compiled 57251 to 3243 computations (94.3% saved)

prune181.0ms (1.9%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1467	25	1492
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	1478	31	1509

Accuracy

100.0%

Counts

1509 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	23.8%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	29.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	42.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	55.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
✓	58.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	70.0%	(-.f64 x (*.f64 z (sin.f64 y)))
	48.3%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
	26.7%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	71.5%	(+.f64 (cos.f64 y) x)
	49.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
	61.7%	(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
	42.6%	(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
▶	53.2%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
	42.7%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
	47.9%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
	48.6%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
	61.8%	(+.f64 x #s(literal 1 binary64))
	26.6%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
	52.4%	(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
	90.0%	(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (cos.f64 y) #s(literal 2 binary64)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)) #s(literal -1 binary64)) (neg.f64 x))
	4.0%	(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
	2.9%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
	58.3%	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
▶	8.9%	(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
▶	90.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
	89.5%	(.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 (/.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 z (/.f64 (sin.f64 y) x))) (/.f64 (cos.f64 y) x))))
	31.0%	(cos.f64 y)
✓	42.2%	x
▶	21.6%	#s(literal 1 binary64)

Compiler

Compiled 1042 to 640 computations (38.6% saved)

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	256	(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))
✓	cost-diff	256	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))))
✓	cost-diff	256	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 y y))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))

Rules

1814×	`-lowering-.f32`
1814×	`-lowering-.f64`
1564×	`fma-lowering-fma.f32`
1564×	`fma-lowering-fma.f64`
1534×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	198
1	89	196
2	275	190
3	800	176
4	2145	174
5	5114	174
0	8294	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize166.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 y y))
✓	accuracy	94.1%	(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))
✓	accuracy	90.2%	(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))))
✓	accuracy	88.9%	(/.f64 (*.f64 y y) z)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 y y))
✓	accuracy	96.7%	(.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
✓	accuracy	90.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))

Results

125.0ms

256×

valid

Compiler

Compiled 234 to 28 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 18.0ms (34.9% of total)

ival-cos: 9.0ms (17.5% of total)

ival-add: 7.0ms (13.6% of total)

ival-sin: 6.0ms (11.6% of total)

ival-div: 4.0ms (7.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (7.8% of total)

ival-sub: 3.0ms (5.8% of total)

const: 1.0ms (1.9% of total)

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

series33.0ms (0.3%)

Counts

17 → 420

Calls

Call 1

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

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

Calls

105 calls:

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

rewrite362.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4006×	`-lowering-.f32`
4006×	`-lowering-.f64`
2610×	`/-lowering-/.f32`
2610×	`/-lowering-/.f64`
2270×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	147
1	183	145
2	1818	137
0	8859	137

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 469

Calls

Call 1

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

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

simplify269.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4328×	`-lowering-.f32`
4328×	`-lowering-.f64`
4178×	`+-lowering-+.f64`
4178×	`+-lowering-+.f32`
1168×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	4150
1	1132	3669
2	3860	3582
0	8265	3582

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval170.0ms (1.8%)

Compiler: Compiled 29445 to 2564 computations (91.3% saved)

prune115.0ms (1.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1006	11	1017
Fresh	8	16	24
Picked	3	2	5
Done	0	2	2
Total	1017	31	1048

Accuracy

100.0%

Counts

1048 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	23.8%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	29.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	42.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	55.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
✓	58.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	70.0%	(-.f64 x (*.f64 z (sin.f64 y)))
	42.8%	(-.f64 x (*.f64 z y))
▶	48.3%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
	26.7%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	8.6%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	71.5%	(+.f64 (cos.f64 y) x)
	42.6%	(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
	47.8%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
	48.6%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
▶	61.8%	(+.f64 x #s(literal 1 binary64))
▶	26.6%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
	8.9%	(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	4.3%	(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
▶	2.9%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
	58.3%	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
	3.0%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	19.7%	(.f64 x (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x))
▶	89.9%	(.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
	53.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
	60.2%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x)))
	78.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (-.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (/.f64 (sin.f64 y) x)))))
	31.0%	(cos.f64 y)
✓	42.2%	x
✓	21.6%	#s(literal 1 binary64)

Compiler

Compiled 791 to 528 computations (33.2% saved)

simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(/.f64 (cos.f64 y) x)
✓	cost-diff	0	(-.f64 (/.f64 (cos.f64 y) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
✓	cost-diff	384	(.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))

Rules

1930×	`sum4-define`
1838×	`sum3-define`
1716×	`-lowering-.f32`
1716×	`-lowering-.f64`
1184×	`+-lowering-+.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	155
1	77	154
2	182	153
3	391	152
4	967	150
5	2580	147
6	6080	147
0	8259	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize181.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)
✓	accuracy	100.0%	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 y z) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 y (*.f64 y y)))
✓	accuracy	92.7%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	99.7%	(/.f64 (cos.f64 y) x)
✓	accuracy	95.0%	(*.f64 z (/.f64 (sin.f64 y) x))
✓	accuracy	90.0%	(.f64 x (-.f64 (/.f64 (cos.f64 y) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))

Results

123.0ms

256×

valid

Compiler

Compiled 177 to 29 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 20.0ms (35.4% of total)

ival-sin: 10.0ms (17.7% of total)

ival-cos: 7.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 6.0ms (10.6% of total)

ival-sub: 5.0ms (8.8% of total)

ival-div: 4.0ms (7.1% of total)

ival-add: 4.0ms (7.1% of total)

const: 1.0ms (1.8% of total)

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

series43.0ms (0.4%)

Counts

19 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(* 1/6 (* y (* y y)))
1.0ms	z	@	0	(* (* 1/6 (* y (* y y))) z)
1.0ms	x	@	-inf	(* x (- (/ (cos y) x) (- (* z (/ (sin y) x)) 1)))
1.0ms	x	@	inf	(* x (- (/ (cos y) x) (- (* z (/ (sin y) x)) 1)))
1.0ms	z	@	inf	(* (* 1/6 (* y (* y y))) z)

rewrite493.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4170×	`-lowering-.f32`
4170×	`-lowering-.f64`
2854×	`/-lowering-/.f32`
2854×	`/-lowering-/.f64`
2156×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	120
1	171	117
2	1512	115
0	8135	115

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 376

Calls

Call 1

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

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

simplify307.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4538×	`-lowering-.f32`
4538×	`-lowering-.f64`
3328×	`+-lowering-+.f64`
3328×	`+-lowering-+.f32`
1486×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	3329
1	1069	3073
2	3493	2991
0	8214	2991

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

Outputs
(- (cos y) (* z (sin y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(- (+ x (cos y)) (* z (sin y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* -1 (* x (- (* -1 (/ (cos y) x)) (+ 1 (* -1 (/ (* z (sin y)) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)))
(* x (+ 1 (/ (cos y) x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))) (-.f64 x (.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))) (-.f64 x (.f64 z (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64))) (-.f64 x (.f64 z (sin.f64 y))))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y z) x))
(+ 1 (+ (* y (- (* -1/2 (/ y x)) (/ z x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (-.f64 (/.f64 (.f64 y #s(literal -1/2 binary64)) x) (/.f64 z x)))))
(+ 1 (+ (* y (- (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))) (/ z x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y z) x)) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 z x)))))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(/ (- (cos y) (* z (sin y))) x)
(/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)
(/ (- (+ x (cos y)) (* z (sin y))) x)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x)
(/ (- (+ x (cos y)) (* z (sin y))) x)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x)
(/ (- (+ x (cos y)) (* z (sin y))) x)
(/.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(+ 1 (* -1 (/ (- (* -1 (cos y)) (* -1 (* z (sin y)))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(+ 1 (/ (cos y) x))
(+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(+.f64 #s(literal 1 binary64) (.f64 z (-.f64 (/.f64 (cos.f64 y) (.f64 z x)) (/.f64 (sin.f64 y) x))))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(+.f64 #s(literal 1 binary64) (.f64 z (-.f64 (/.f64 (cos.f64 y) (.f64 z x)) (/.f64 (sin.f64 y) x))))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(+.f64 #s(literal 1 binary64) (.f64 z (-.f64 (/.f64 (cos.f64 y) (.f64 z x)) (/.f64 (sin.f64 y) x))))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (+ 1 (/ (cos y) x)) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) x)) z) (/.f64 (sin.f64 y) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (+.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (/.f64 #s(literal -1/2 binary64) x))))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (* (pow y 3) z))
(.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y (.f64 y z))))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(* 1/6 (pow y 3))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(pow y 3)
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(-.f64 #s(literal 1 binary64) (*.f64 y z))
(+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(+ 1 (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) z)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(- 1 (* z (sin y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 (.f64 y z) (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 (.f64 y (.f64 y z)) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y (.f64 y z)) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y 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 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 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 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 (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* y z) x)
(/.f64 (*.f64 y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(.f64 y (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (/.f64 z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(.f64 y (+.f64 (/.f64 z x) (.f64 (.f64 y y) (.f64 (/.f64 z x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(.f64 y (+.f64 (/.f64 z x) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 z #s(literal -1/6 binary64)) x) (.f64 (/.f64 (.f64 y (.f64 y z)) x) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64)))))))))
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 z (sin.f64 y)) x)
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))))))))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 y y) (+.f64 (.f64 (/.f64 (.f64 y y) x) (+.f64 #s(literal 1/120 binary64) (.f64 y (*.f64 y #s(literal -1/5040 binary64))))) (/.f64 #s(literal -1/6 binary64) x)))))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))
(* 1/6 (* y z))
(.f64 (.f64 y z) #s(literal 1/6 binary64))

eval99.0ms (1%)

Compiler: Compiled 20405 to 1743 computations (91.5% saved)

prune110.0ms (1.1%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	802	7	809
Fresh	4	18	22
Picked	2	3	5
Done	0	4	4
Total	808	32	840

Accuracy

100.0%

Counts

840 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(pow.f64 (pow.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	23.8%	(/.f64 (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 y))
	29.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
	61.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
	42.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	55.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
✓	58.3%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	70.0%	(-.f64 x (*.f64 z (sin.f64 y)))
	42.8%	(-.f64 x (*.f64 z y))
✓	48.3%	(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
	26.7%	(-.f64 #s(literal 1 binary64) (*.f64 z y))
	8.6%	(-.f64 #s(literal 0 binary64) (*.f64 y z))
	71.5%	(+.f64 (cos.f64 y) x)
	47.8%	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
✓	61.8%	(+.f64 x #s(literal 1 binary64))
	20.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
	26.5%	(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
	20.5%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
	8.9%	(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
✓	2.9%	(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
	58.3%	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
	3.0%	(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
	3.0%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	4.7%	(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
	19.7%	(.f64 x (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x))
	79.7%	(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
	53.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
	60.2%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x)))
	78.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (-.f64 (/.f64 (cos.f64 y) (*.f64 z x)) (/.f64 (sin.f64 y) x)))))
	31.0%	(cos.f64 y)
✓	42.2%	x
✓	21.6%	#s(literal 1 binary64)

Compiler

Compiled 1356 to 507 computations (62.6% saved)

regimes72.0ms (0.7%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes44.0ms (0.5%)

Counts

45 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(.f64 x (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))

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

Calls

3 calls:

14.0ms	z
13.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
99.5%	3	`x`
89.6%	1	`y`
99.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.3%)

Counts

43 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(.f64 x (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))) x)))
(.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 1 binary64))))

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

Calls

2 calls:

13.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
99.3%	3	`z`
89.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Counts

38 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
94.1%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.4%)

Counts

37 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

11.0ms	y
11.0ms	z
10.0ms	x

Results

Accuracy	Segments	Branch
82.7%	3	`x`
81.1%	4	`y`
85.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.4%)

Counts

36 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)

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

Calls

3 calls:

13.0ms	x
10.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
78.0%	3	`y`
71.5%	1	`x`
77.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes39.0ms (0.4%)

Counts

35 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))
(cos.f64 y)

Outputs
(+.f64 x #s(literal 1 binary64))
(cos.f64 y)
(+.f64 x #s(literal 1 binary64))

Calls

3 calls:

13.0ms	z
10.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
71.2%	3	`x`
67.4%	3	`z`
68.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.2%)

Counts

34 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (-.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 z (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 y z) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y y) z)) (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (+.f64 z (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 y (+.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) z)) y) (+.f64 z (.f64 y (+.f64 (.f64 y (*.f64 z #s(literal 1/6 binary64))) #s(literal -1/2 binary64))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)) y) (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 y (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))))) (.f64 z z)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z) (.f64 y (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))))))))

Outputs

(+.f64 x #s(literal 1 binary64))

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

(+.f64 x #s(literal 1 binary64))

Calls

2 calls:

11.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
68.4%	3	`y`
64.4%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))))
(.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (.f64 (.f64 y z) #s(literal 1/6 binary64))) z)))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (.f64 y (*.f64 y #s(literal -1/2 binary64))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z))) x)))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 (.f64 y z) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) z)))
(.f64 y (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))))
(.f64 (.f64 y y) (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
68.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))) z)
(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (.f64 y z) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
68.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal -1/2 binary64))))

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

Calls

2 calls:

3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
65.9%	3	`z`
61.8%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 #s(literal 1 binary64) (*.f64 z y))

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

Calls

2 calls:

3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
65.9%	3	`x`
63.7%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y z))

Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 x #s(literal 1 binary64))

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
63.7%	2	`z`
61.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))

Outputs
(+.f64 x #s(literal 1 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
61.8%	1	`y`
61.8%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)
x

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
60.7%	3	`x`
42.2%	1	`z`
42.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

3 calls:

2.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
21.6%	1	`y`
21.6%	1	`z`
21.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3757483232565554e-27	1.560307970100016e-14
24.0ms	-12.017263893403838	-3.5445970415707296e-14

Results

36.0ms

320×

valid

Compiler

Compiled 478 to 353 computations (26.2% saved)

Precisions

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

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

ival-cos: 7.0ms (29.8% of total)

ival-mult: 3.0ms (12.8% of total)

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

ival-add: 2.0ms (8.5% 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
20.0ms	9.358306117279024e-6	555.3075649848223
21.0ms	-27104544044598.06	-1846192.9989772774

Results

29.0ms

288×

valid

Compiler

Compiled 378 to 283 computations (25.1% saved)

Precisions

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

ival-cos: 7.0ms (37.8% of total)

ival-sin: 6.0ms (32.4% of total)

ival-add: 2.0ms (10.8% of total)

ival-mult: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% 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
21.0ms	8.231440221089015e+33	6.645000344524905e+38
20.0ms	-27104544044598.06	-1846192.9989772774

Results

31.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-cos: 8.0ms (38.5% of total)

ival-sin: 6.0ms (28.9% of total)

ival-sub: 3.0ms (14.4% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.7253585298282e+53	8.491840134545969e+58
18.0ms	-1.9547651065893534e+211	-3.7229826676375855e+208

Results

28.0ms

272×

valid

Compiler

Compiled 324 to 251 computations (22.5% saved)

Precisions

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

ival-cos: 7.0ms (39.6% of total)

ival-sin: 5.0ms (28.3% of total)

ival-add: 2.0ms (11.3% of total)

ival-mult: 2.0ms (11.3% of total)

ival-sub: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.00012522656518500704	0.011519811241562473
10.0ms	-186035305.37083393	-102091161.19824097

Results

21.0ms

176×

valid

Compiler

Compiled 337 to 244 computations (27.6% saved)

Precisions

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

ival-cos: 3.0ms (29.9% of total)

ival-sin: 3.0ms (29.9% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

ival-mult: 1.0ms (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
22.0ms	1.560307970100016e-14	6.900081538373653e-8
22.0ms	-12.017263893403838	-3.5445970415707296e-14

Results

34.0ms

304×

valid

Compiler

Compiled 265 to 222 computations (16.2% saved)

Precisions

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

ival-cos: 10.0ms (44.6% of total)

ival-sin: 7.0ms (31.2% of total)

ival-add: 2.0ms (8.9% of total)

ival-mult: 2.0ms (8.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.1931618083862357e+23	4.7225345657868623e+27
23.0ms	-67806873552517235000.0	-520494285027039550.0

Results

34.0ms

240×

valid

Compiler

Compiled 438 to 328 computations (25.1% saved)

Precisions

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

ival-cos: 12.0ms (47.5% of total)

ival-sin: 8.0ms (31.7% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.2663151213149143e+20	2.1931618083862357e+23
22.0ms	-67806873552517235000.0	-520494285027039550.0

Results

34.0ms

240×

valid

Compiler

Compiled 348 to 268 computations (23% saved)

Precisions

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

ival-cos: 8.0ms (32.4% of total)

ival-sin: 8.0ms (32.4% of total)

ival-add: 5.0ms (20.2% of total)

ival-mult: 2.0ms (8.1% of total)

ival-sub: 1.0ms (4% 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
24.0ms	2.2663151213149143e+20	2.1931618083862357e+23
18.0ms	-3.346096608665652e+119	-5.051246925229274e+117

Results

34.0ms

240×

valid

Compiler

Compiled 288 to 223 computations (22.6% saved)

Precisions

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

ival-cos: 8.0ms (32.7% of total)

ival-sin: 8.0ms (32.7% of total)

ival-sub: 5.0ms (20.4% of total)

ival-mult: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.0190123459297509e+152	3.931235861904317e+152
17.0ms	-1.9547651065893534e+211	-3.7229826676375855e+208

Results

24.0ms

208×

valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

Precisions

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

ival-cos: 5.0ms (30.5% of total)

ival-mult: 5.0ms (30.5% of total)

ival-sin: 4.0ms (24.4% of total)

ival-sub: 1.0ms (6.1% of total)

ival-add: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.045954264250373e-138	2.1763741515556747e-136
17.0ms	-6.285943805943349e-19	-5.863310826109797e-23

Results

28.0ms

240×

valid

Compiler

Compiled 258 to 208 computations (19.4% saved)

Precisions

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

ival-cos: 6.0ms (39% of total)

ival-sin: 5.0ms (32.5% of total)

ival-mult: 2.0ms (13% of total)

ival-sub: 1.0ms (6.5% of total)

ival-add: 1.0ms (6.5% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-1.9547651065893534e+211	-3.7229826676375855e+208

Results

13.0ms

128×

valid

Compiler

Compiled 146 to 117 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (38.2% of total)

ival-sin: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

ival-mult: 1.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.7468953751059139e-6	54.90285730488468
17.0ms	-3.5445970415707296e-14	-6.285943805943349e-19

Results

27.0ms	248×	0	valid
4.0ms	11×	2	valid
4.0ms	4×	3	valid
1.0ms	9×	1	valid

Compiler

Compiled 188 to 166 computations (11.7% saved)

Precisions

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

ival-cos: 9.0ms (37.4% of total)

ival-sin: 7.0ms (29.1% of total)

ival-add: 4.0ms (16.6% of total)

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

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

backward-pass: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`sub-neg_binary64`
24×	`*-commutative_binary64`
24×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	267
1	189	267
2	220	267
3	229	267
4	234	267
5	235	267

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -7011769753764849/4835703278458516698824704 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 4912146075884389/316912650057057350374175801344 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1850000 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -136000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 11000000000000001130709797767741440 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2099999999999999909881024392790141398237050270798223245312 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -105000000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x #s(literal -4332790137498831/309485009821345068724781056 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 2030995376952577/9671406556917033397649408 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -530000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 220000000000000008388608 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1100000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 350000000000000000000 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -42000000000000000163551315086212735959823959796337394362420411858015433049547123701299914555771786000333712143285223424 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3000000000000000000000 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 239999999999999992493188184202542339540253571815258372927314111687711785802922063191754432014301383166284291608827979062686001334425305213437603129327616 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 z y))))
(if (<=.f64 x #s(literal -3946145612486469/20769187434139310514121985316880384 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 392806872947537/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -850000000000000062145099855766624685448735605348574309535901980774945558902123924094058898622278800767469084799742986565346673728644565879699648720149203231873409896461359470235280923411764599642562021212291072 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -693246421999813/19807040628566084398385987584 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -7011769753764849/4835703278458516698824704 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 4912146075884389/316912650057057350374175801344 binary64)) (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1850000 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1850000 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5/4 binary64)) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -136000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 11000000000000001130709797767741440 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -136000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 11000000000000001130709797767741440 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2099999999999999909881024392790141398237050270798223245312 binary64)) (+.f64 (cos.f64 y) x) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2099999999999999909881024392790141398237050270798223245312 binary64)) (+.f64 x (cos.f64 y)) (-.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -105000000 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -105000000 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -4332790137498831/309485009821345068724781056 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 2030995376952577/9671406556917033397649408 binary64)) (cos.f64 y) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -530000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 220000000000000008388608 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1100000000000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 350000000000000000000 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y (-.f64 (.f64 y #s(literal -1/2 binary64)) z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -42000000000000000163551315086212735959823959796337394362420411858015433049547123701299914555771786000333712143285223424 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 3000000000000000000000 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 239999999999999992493188184202542339540253571815258372927314111687711785802922063191754432014301383166284291608827979062686001334425305213437603129327616 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 z y))))
(if (<=.f64 z #s(literal -37499999999999998179254964249861752775684376888616365233355403667981785254724714046050960671717266469122589482617261393358278973257558831062750369219379791388812646298139906023091248731430546960180014571585536 binary64)) (-.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 239999999999999992493188184202542339540253571815258372927314111687711785802922063191754432014301383166284291608827979062686001334425305213437603129327616 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 y z))))
(if (<=.f64 x #s(literal -3946145612486469/20769187434139310514121985316880384 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 392806872947537/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -850000000000000062145099855766624685448735605348574309535901980774945558902123924094058898622278800767469084799742986565346673728644565879699648720149203231873409896461359470235280923411764599642562021212291072 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -693246421999813/19807040628566084398385987584 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.5s (15.9%)

Rules

5156×	`-lowering-.f32`
5156×	`-lowering-.f64`
4524×	`+-lowering-+.f64`
4524×	`+-lowering-+.f32`
4328×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	629
1	306	570
2	937	562
3	2781	561
4	6397	561
0	8401	561
0	782	7263
1	2696	6439
0	8754	6439
0	335	4150
1	1132	3669
2	3860	3582
0	8265	3582

Stop Event

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

Compiler

Compiled 636 to 343 computations (46.1% saved)

preprocess85.0ms (0.9%)

Compiler: Compiled 648 to 226 computations (65.1% saved)

analyze0.0ms (0%)

sample1.2s (12.1%)

preprocess126.0ms (1.3%)

explain138.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify59.0ms (0.6%)

localize88.0ms (0.9%)

series18.0ms (0.2%)

rewrite367.0ms (3.8%)

simplify269.0ms (2.8%)

eval29.0ms (0.3%)

prune59.0ms (0.6%)

simplify231.0ms (2.4%)

localize372.0ms (3.9%)

series56.0ms (0.6%)

rewrite544.0ms (5.6%)

simplify468.0ms (4.8%)

eval236.0ms (2.4%)

prune181.0ms (1.9%)

simplify209.0ms (2.2%)

localize166.0ms (1.7%)

series33.0ms (0.3%)

rewrite362.0ms (3.8%)

simplify269.0ms (2.8%)

eval170.0ms (1.8%)

prune115.0ms (1.2%)

simplify171.0ms (1.8%)

localize181.0ms (1.9%)

series43.0ms (0.4%)

rewrite493.0ms (5.1%)

simplify307.0ms (3.2%)

eval99.0ms (1%)

prune110.0ms (1.1%)

regimes72.0ms (0.7%)

regimes44.0ms (0.5%)

regimes30.0ms (0.3%)

regimes14.0ms (0.1%)

regimes36.0ms (0.4%)

regimes38.0ms (0.4%)

regimes39.0ms (0.4%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

bsearch49.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch40.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch47.0ms (0.5%)

bsearch45.0ms (0.5%)

bsearch49.0ms (0.5%)

bsearch44.0ms (0.5%)

bsearch33.0ms (0.3%)

bsearch38.0ms (0.4%)

bsearch23.0ms (0.2%)

bsearch48.0ms (0.5%)

simplify16.0ms (0.2%)

soundness1.5s (15.9%)

preprocess85.0ms (0.9%)

end0.0ms (0%)

Profiling