Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

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-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)

sample1.4s (13.1%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 961.0ms

ival-cos: 489.0ms (50.9% of total)

ival-mult: 221.0ms (23% of total)

ival-sin: 172.0ms (17.9% of total)

ival-sub: 69.0ms (7.2% of total)

const: 8.0ms (0.8% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess95.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1510×	`fnmadd-define`
1022×	`fmsub-define`
1000×	`fnmsub-define`
978×	`fma-define`
826×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	86
1	111	80
2	222	80
3	512	80
4	1340	80
5	2757	80
6	3840	80
7	4790	80
8	4927	80
9	4973	80
10	4989	80
0	8	8
1	17	8
2	33	8
3	52	8
4	82	8
5	157	8
6	297	8
7	520	8
8	837	8
9	1200	8
10	1374	8
11	1396	8
0	1396	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

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

explain169.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

110.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sin: 40.0ms (46.4% of total)

ival-cos: 35.0ms (40.6% of total)

ival-mult: 8.0ms (9.3% of total)

ival-sub: 3.0ms (3.5% of total)

const: 1.0ms (1.2% 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
▶	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify31.0ms (0.3%)

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

420×	`fnmadd-define`
342×	`fma-define`
294×	`sum3-define`
240×	`sum4-define`
232×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	17	23
2	33	23
3	52	23
4	82	23
5	157	23
6	297	23
7	520	23
8	837	23
9	1200	23
10	1374	23
11	1396	23
0	1396	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)

localize39.0ms (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

30.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-cos: 6.0ms (35.6% of total)

ival-sin: 5.0ms (29.6% of total)

ival-mult: 4.0ms (23.7% of total)

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

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* x (cos y))
1.0ms	y	@	-inf	(* x (cos y))
1.0ms	x	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	z	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))

rewrite343.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3654×	`-lowering-.f32`
3654×	`-lowering-.f64`
2346×	`pow-lowering-pow.f64`
2346×	`pow-lowering-pow.f32`
1544×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	36	20
2	255	20
3	3510	20
0	8366	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 153

Calls

Call 1

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

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

simplify262.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3562×	`-lowering-.f32`
3562×	`-lowering-.f64`
2348×	`+-lowering-+.f64`
2348×	`+-lowering-+.f32`
2104×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	665
1	364	637
2	1154	625
3	3561	619
4	6427	619
0	8158	619

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval30.0ms (0.3%)

Compiler: Compiled 7066 to 513 computations (92.7% saved)

prune67.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	246	15	261
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	16	262

Accuracy

99.9%

Counts

262 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)))
	25.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.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 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
▶	41.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.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 (cos.f64 y)) (.f64 z (sin.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	78.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	53.5%	(-.f64 x (*.f64 z y))
▶	52.9%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
	53.2%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	41.5%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
	33.8%	(.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))))
▶	99.6%	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
	43.8%	(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
	87.1%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	58.1%	(*.f64 x (cos.f64 y))
▶	37.9%	x

Compiler

Compiled 884 to 402 computations (54.5% saved)

simplify217.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.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 (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	(-.f64 x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
✓	cost-diff	0	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #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	128	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
✓	cost-diff	26752	(.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))

Rules

3928×	`-lowering-.f32`
3928×	`-lowering-.f64`
2004×	`sum4-define`
1532×	`fma-lowering-fma.f32`
1532×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	335
1	108	327
2	330	286
3	1088	286
4	3933	286
0	8555	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize305.0ms (2.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.7%	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))
✓	accuracy	86.5%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))
✓	accuracy	74.3%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	57.1%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.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 (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	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	99.9%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z))
✓	accuracy	99.8%	(.f64 z (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))

Results

138.0ms	122×	1	valid
69.0ms	127×	0	valid
9.0ms	7×	2	valid

Compiler

Compiled 343 to 38 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 43.0ms (32.6% of total)

ival-cos: 35.0ms (26.5% of total)

ival-add: 13.0ms (9.8% of total)

ival-sub: 10.0ms (7.6% of total)

backward-pass: 10.0ms (7.6% of total)

ival-div: 6.0ms (4.5% of total)

...c/correct-round.rkt:119:19: 6.0ms (4.5% of total)

ival-sin: 6.0ms (4.5% of total)

const: 1.0ms (0.8% of total)

series67.0ms (0.6%)

Counts

20 → 564

Calls

Call 1

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

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

141 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(* z (* y 1/6))
5.0ms	z	@	-inf	(/ (- (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
4.0ms	z	@	-inf	(+ x (* y (- (* y (+ (* x -1/2) (* z (* y 1/6)))) z)))
4.0ms	z	@	inf	(* (+ (* x (cos y)) (* z (sin y))) (* (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* x (cos y)) (* z (sin y))))))
2.0ms	y	@	inf	(/ (- (* (* x x) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (* z z) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))

rewrite437.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3248×	`-lowering-.f32`
3248×	`-lowering-.f64`
2340×	`fma-lowering-fma.f32`
2340×	`fma-lowering-fma.f64`
1716×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	218
1	230	154
2	2234	153
0	8272	153

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 714

Calls

Call 1

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

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

simplify488.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

6292×	`-lowering-.f32`
6292×	`-lowering-.f64`
3524×	`+-lowering-+.f64`
3524×	`+-lowering-+.f32`
1976×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	927	8920
1	3436	8577
0	8459	8577

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

eval244.0ms (2.2%)

Compiler: Compiled 65431 to 3088 computations (95.3% saved)

prune173.0ms (1.6%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1622	22	1644
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	1630	30	1660

Accuracy

100.0%

Counts

1660 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	27.6%	(/.f64 (.f64 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) (sin.f64 y)))
	57.9%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	49.5%	(-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
	99.4%	(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.7%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
	52.9%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
✓	78.6%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	53.5%	(-.f64 x (*.f64 z y))
	52.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
	52.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
▶	43.8%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	52.5%	(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
	24.9%	(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
	40.4%	(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
	9.7%	(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
▶	53.2%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	36.7%	(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
	37.0%	(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
	36.9%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	2.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
	27.6%	(.f64 z (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 y)))
	87.1%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
▶	46.7%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
	19.1%	(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
	58.1%	(*.f64 x (cos.f64 y))
	3.0%	(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
✓	37.9%	x

Compiler

Compiled 1257 to 735 computations (41.5% saved)

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 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 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z)
✓	cost-diff	256	(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))) (/.f64 x z)))
✓	cost-diff	384	(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z))
✓	cost-diff	0	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	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

2122×	`-lowering-.f32`
2122×	`-lowering-.f64`
2096×	`sum3-define`
1738×	`fmsub-define`
1566×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	96	206
2	243	204
3	642	194
4	1860	193
5	4608	193
0	8317	193

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 (* z y))
x
(* z y)
z
y
(+ x (* y (- (* y (* x -1/2)) z)))
x
(* y (- (* y (* x -1/2)) z))
y
(- (* y (* x -1/2)) z)
(* y (* x -1/2))
(* x -1/2)
-1/2
z
(* z (+ (/ (* -1/2 (* x (* y y))) z) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ x z))))
z
(+ (/ (* -1/2 (* x (* y y))) z) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ x z)))
(/ (* -1/2 (* x (* y y))) z)
(* -1/2 (* x (* y y)))
-1/2
(* x (* y y))
x
(* y y)
y
(+ (* y (+ (* 1/6 (* y y)) -1)) (/ x z))
(* y (+ (* 1/6 (* y y)) -1))
(+ (* 1/6 (* y y)) -1)
(* 1/6 (* y y))
1/6
-1
(/ x z)
(- 0 (* z (sin y)))
0
(* z (sin y))
z
(sin y)
y

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

localize202.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	90.4%	(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
✓	accuracy	89.7%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))) z)
✓	accuracy	88.1%	(.f64 x (.f64 y y))
✓	accuracy	87.0%	(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))) (/.f64 x z)))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z)
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Results

157.0ms

256×

valid

Compiler

Compiled 233 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 40.0ms (40.6% of total)

ival-mult: 30.0ms (30.4% of total)

ival-div: 7.0ms (7.1% of total)

ival-add: 6.0ms (6.1% of total)

ival-sin: 6.0ms (6.1% of total)

ival-sub: 5.0ms (5.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.1% of total)

const: 1.0ms (1% of total)

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

series35.0ms (0.3%)

Counts

19 → 552

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 (* z y))>
#<alt (* z y)>
#<alt (+ x (* y (- (* y (* x -1/2)) z)))>
#<alt (* y (- (* y (* x -1/2)) z))>
#<alt (- (* y (* x -1/2)) z)>
#<alt (* y (* x -1/2))>
#<alt (* z (+ (/ (* -1/2 (* x (* y y))) z) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ x z))))>
#<alt (+ (/ (* -1/2 (* x (* y y))) z) (+ (* y (+ (* 1/6 (* y y)) -1)) (/ x z)))>
#<alt (/ (* -1/2 (* x (* y y))) z)>
#<alt (* -1/2 (* x (* y y)))>
#<alt (- 0 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (* x -1/2)>
#<alt (* x (* y y))>

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

Calls

138 calls:

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

rewrite559.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5570×	`-lowering-.f32`
5570×	`-lowering-.f64`
3266×	`+-lowering-+.f64`
3266×	`+-lowering-+.f32`
3024×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	222	142
2	2072	141
0	10968	141

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 641

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

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

simplify418.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5244×	`-lowering-.f32`
5244×	`-lowering-.f64`
1844×	`+-lowering-+.f64`
1844×	`+-lowering-+.f32`
1790×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	5302
1	1855	5031
2	6804	5023
0	8472	5023

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

Outputs
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* 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) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x (cos.f64 y))) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z)
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+.f64 (.f64 x (-.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (/.f64 (cos.f64 y) (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (/.f64 (cos.f64 y) (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (+.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 x (.f64 x x))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (.f64 z (sin.f64 y)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x x)))))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (.f64 y (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (-.f64 (/.f64 (.f64 z #s(literal -1/3 binary64)) (.f64 x x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 z x))))) (/.f64 (.f64 z z) (.f64 x (*.f64 x x))))))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
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(.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))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 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 z y)
(* 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 y y) (.f64 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 y (.f64 y (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.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 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 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))
(* x (pow y 2))
(.f64 x (.f64 y y))

eval187.0ms (1.7%)

Compiler: Compiled 45356 to 2566 computations (94.3% saved)

prune185.0ms (1.7%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1211	27	1238
Fresh	8	14	22
Picked	3	2	5
Done	0	3	3
Total	1222	46	1268

Accuracy

100.0%

Counts

1268 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
	27.6%	(/.f64 (.f64 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) (sin.f64 y)))
	57.9%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
	49.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
	58.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	37.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
	49.5%	(-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
▶	99.4%	(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.7%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
▶	52.9%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
✓	78.6%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	53.5%	(-.f64 x (*.f64 z y))
	52.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
	19.3%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
	37.9%	(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
✓	53.2%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	37.9%	(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
	36.7%	(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
	37.0%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	36.9%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	21.3%	(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
	2.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
	11.4%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	29.4%	(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
	27.6%	(.f64 z (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 y)))
▶	31.8%	(*.f64 z (/.f64 x z))
	87.1%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	31.4%	(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
	46.9%	(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
	15.1%	(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
▶	19.0%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	3.0%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	42.5%	(*.f64 y (-.f64 (/.f64 x y) z))
	19.1%	(.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))
	19.1%	(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
	19.1%	(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	36.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
	58.1%	(*.f64 x (cos.f64 y))
	3.2%	(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
▶	43.8%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	37.9%	x

Compiler

Compiled 1691 to 1021 computations (39.6% saved)

simplify203.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	cost-diff	0	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	256	(*.f64 z (/.f64 x z))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 x (+.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 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	cost-diff	13376	(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

3572×	`-lowering-.f32`
3572×	`-lowering-.f64`
1430×	`fma-lowering-fma.f32`
1430×	`fma-lowering-fma.f64`
1322×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	272
1	119	257
2	397	239
3	1364	237
4	4048	236
0	8390	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 y y) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	97.1%	(.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	accuracy	99.9%	(.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (*.f64 y #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	95.5%	(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	76.1%	(*.f64 z (/.f64 x z))
✓	accuracy	99.8%	(.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
✓	accuracy	99.7%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.6%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))

Results

138.0ms

256×

valid

Compiler

Compiled 286 to 40 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 44.0ms (47.3% of total)

...c/correct-round.rkt:119:19: 13.0ms (14% of total)

ival-cos: 11.0ms (11.8% of total)

ival-sin: 6.0ms (6.5% of total)

ival-div: 5.0ms (5.4% of total)

ival-add: 5.0ms (5.4% of total)

ival-pow: 4.0ms (4.3% of total)

ival-sub: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series59.0ms (0.5%)

Counts

22 → 420

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))>
#<alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 z) (* -7/6 z)))) (* -1/2 x))) z)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))>
#<alt (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt x>
#<alt (+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* 1/6 (pow y 3))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt (* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1/6)))>
#<alt -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 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (- x (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x) 1)))>
#<alt (* -1 (* x (- (/ (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))))>
#<alt (+ x (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* z (- (/ x z) (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* -1 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))))>
#<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 (* -1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (- (* 1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (- (* -1 (/ z (pow y 4))) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))>
#<alt (* (pow y 5) (- (/ x (pow y 5)) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))))>
#<alt (* -1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (- (* -1/6 (/ z (pow y 2))) (* -1/120 z))))>
#<alt (* -1 (* (pow y 5) (- (/ z (pow y 4)) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (- (* -1 (/ x (pow y 5))) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<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) (* 1/120 (* (pow y 2) z))))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))>
#<alt (* 1/120 (* (pow y 5) z))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* z (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 (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 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 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* y z)>
#<alt (* y (+ z (* -7/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>
#<alt (* 1/120 (pow y 2))>

Calls

105 calls:

Time	Variable		Point	Expression
16.0ms	z	@	inf	(* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2)))))
12.0ms	z	@	inf	(- x (* z (* y (+ 1 (* (* y y) (+ (* (* y y) 1/120) -1/6))))))
2.0ms	x	@	-inf	(* x (+ 1/2 (* 1/2 (cos (* y 2)))))
2.0ms	y	@	-inf	(- (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))
2.0ms	y	@	inf	(- (/ (* x (+ 1/2 (* 1/2 (cos (* y 2))))) (cos y)) (/ (* (* z (sin y)) (+ 1/2 (* 1/2 (cos (* y 2))))) (pow (cos y) 2)))

rewrite503.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5884×	`-lowering-.f32`
5884×	`-lowering-.f64`
3334×	`+-lowering-+.f64`
3334×	`+-lowering-+.f32`
2858×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	213
1	228	177
2	2118	147
0	10596	147

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 599

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (+.f64 (.f64 (neg.f64 (/.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 z (sin.f64 y)) (+.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) #s(literal 1 binary64)))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (fma.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 0 binary64) (.f64 z (sin.f64 y)))) (/.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 z (.f64 (sin.f64 y) #s(literal 1 binary64)))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) #s(literal 1 binary64) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (cos.f64 y) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(+.f64 (+.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) z))) (fma.f64 (neg.f64 (.f64 (sin.f64 y) #s(literal 1 binary64))) z (.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) z))) (fma.f64 (neg.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))) z (.f64 (.f64 (.f64 (sin.f64 y) (+.f64 #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 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.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)))))) z))) (fma.f64 (neg.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.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))))))) z (.f64 (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.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)))))) z)))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (.f64 (.f64 z #s(literal 1 binary64)) (sin.f64 y)))) (fma.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (sin.f64 y) (.f64 (*.f64 z #s(literal 1 binary64)) (sin.f64 y))))
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(/.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 (.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 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
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(/.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 (-.f64 y y))) #s(literal 2 binary64))
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(fma.f64 (sin.f64 y) (.f64 z #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))))
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(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) (sin.f64 y)) z (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (.f64 (.f64 z (sin.f64 y)) (cos.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (sin.f64 y) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))) z) (sin.f64 y) (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) (.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))))))
(/.f64 (.f64 (.f64 z (sin.f64 y)) (+.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 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 z (sin.f64 y)) (-.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 (sin.f64 y))) (+.f64 #s(literal 1/4 binary64) (.f64 (.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 (.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 (sin.f64 y))) (+.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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(.f64 (sin.f64 y) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(.f64 (.f64 z (sin.f64 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) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) z)
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) z) (sin.f64 y))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(+.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64))) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 y (.f64 y #s(literal -1/6 binary64)) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 y (.f64 (.f64 y #s(literal 1/120 binary64)) (.f64 y y)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 y y) #s(literal -1/6 binary64) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y y) (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal 1/120 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) y) y (.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal -1/6 binary64) y) y (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64))))) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) #s(literal -1/6 binary64))) (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) (-.f64 (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64))) #s(literal -1/216 binary64)) (.f64 y y)) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (.f64 y y)) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 y (.f64 y (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y y))
(.f64 (.f64 y (.f64 y (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y y))
(.f64 y (.f64 y #s(literal 1/120 binary64)))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/120 binary64)) y)

simplify539.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

5362×	`-lowering-.f32`
5362×	`-lowering-.f64`
3210×	`+-lowering-+.f64`
3210×	`+-lowering-+.f32`
1328×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4460
1	1058	4149
2	3815	4102
0	8748	4102

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

Outputs
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(- (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 (+.f64 (/.f64 (.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (cos.f64 y))) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 y x) #s(literal -1/2 binary64)) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 z) (* -7/6 z)))) (* -1/2 x))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (*.f64 x #s(literal -1/2 binary64)))) z)))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+.f64 (.f64 (+.f64 #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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* z (- (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))))
(.f64 z (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y))) z) (.f64 (.f64 (+.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(+.f64 x (.f64 y (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
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(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(.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))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/3 binary64)))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 y y) #s(literal -2/45 binary64)))))))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* y z)
(*.f64 z y)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(.f64 y (.f64 (+.f64 (.f64 #s(literal -7/6 binary64) (.f64 y y)) #s(literal 1 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (.f64 z (+.f64 #s(literal -7/6 binary64) (.f64 (.f64 y y) #s(literal 61/120 binary64)))))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
(.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -7/6 binary64)) (.f64 y (.f64 y (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal -547/5040 binary64)) #s(literal 61/120 binary64)))))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 z (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* -1/6 (pow y 2))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))
(.f64 y (.f64 y (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* 1/120 (pow y 4))
(.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y)))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))

eval188.0ms (1.7%)

Compiler: Compiled 33229 to 2417 computations (92.7% saved)

prune238.0ms (2.2%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1082	20	1102
Fresh	8	28	36
Picked	3	2	5
Done	0	5	5
Total	1093	55	1148

Accuracy

100.0%

Counts

1148 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
	43.8%	(/.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 0 binary64) (.f64 z (sin.f64 y)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
	43.6%	(/.f64 (.f64 (.f64 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
	27.6%	(/.f64 (.f64 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) (sin.f64 y)))
	30.4%	(/.f64 (*.f64 x z) z)
	32.3%	(/.f64 z (/.f64 z x))
	49.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	30.3%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
	58.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	43.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	37.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
	99.4%	(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	52.7%	(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
	36.8%	(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
✓	78.6%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	53.5%	(-.f64 x (*.f64 z y))
	52.9%	(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
	37.9%	(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
✓	53.2%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	37.9%	(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
	36.7%	(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
	37.0%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	36.9%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
	21.3%	(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
	57.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (/.f64 x (cos.f64 y)))
	43.7%	(.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (neg.f64 (/.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))))))))
	19.1%	(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	2.7%	(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
	11.4%	(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
	30.4%	(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
	57.9%	(.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
	29.4%	(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
	27.6%	(.f64 z (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 y)))
✓	31.8%	(*.f64 z (/.f64 x z))
	31.7%	(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
	87.1%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
	31.4%	(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
	46.9%	(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
	31.7%	(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
	15.1%	(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
	3.0%	(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	19.1%	(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
	19.1%	(.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))
	36.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
	58.1%	(*.f64 x (cos.f64 y))
	3.2%	(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
	19.1%	(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
	19.1%	(neg.f64 (.f64 z (.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)))))))))
✓	43.8%	(neg.f64 (*.f64 z (sin.f64 y)))
	19.3%	(neg.f64 (*.f64 z y))
✓	37.9%	x

Compiler

Compiled 2643 to 1007 computations (61.9% saved)

regimes258.0ms (2.3%)

Counts

85 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
(.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))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
(neg.f64 (.f64 z (.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)))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 z (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (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 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (.f64 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) (sin.f64 y)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
(/.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 0 binary64) (.f64 z (sin.f64 y)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (neg.f64 (/.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 #s(literal 1 binary64) (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 z (sin.f64 y)) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.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 (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z z) (pow.f64 (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)) (.f64 z (sin.f64 y))) (.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) z) (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
(/.f64 (/.f64 (-.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (sin.f64 y)))) (cos.f64 y)) (+.f64 #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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (.f64 (+.f64 (.f64 x (cos.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 #s(literal 2 binary64) y))))))) (pow.f64 (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (-.f64 (.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (pow.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 (.f64 z (sin.f64 y)) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)))

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

Calls

4 calls:

162.0ms	x
36.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	z
24.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes64.0ms (0.6%)

Counts

62 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
(.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))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
(neg.f64 (.f64 z (.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)))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))

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

Calls

3 calls:

20.0ms	x
19.0ms	z
18.0ms	y

Results

Accuracy	Segments	Branch
88.7%	3	`x`
81.9%	3	`y`
88.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes59.0ms (0.5%)

Counts

59 → 4

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
(.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))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
(neg.f64 (.f64 z (.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)))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))

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

Calls

3 calls:

18.0ms	z
17.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
80.0%	4	`y`
78.0%	3	`z`
72.8%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes42.0ms (0.4%)

Counts

56 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
(.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))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
(neg.f64 (.f64 z (.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)))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(*.f64 x (cos.f64 y))

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

Calls

2 calls:

17.0ms	y
15.0ms	z

Results

Accuracy	Segments	Branch
68.0%	3	`z`
74.3%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.5%)

Counts

55 → 1

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 z y))
(*.f64 z (/.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(-.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 (*.f64 x z) z)
(.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y)))
(*.f64 y (-.f64 (/.f64 x y) z))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z)))
(.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 z (.f64 y (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(.f64 y (.f64 z (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64))))
(.f64 z (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64))))))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 z y)))
(.f64 (.f64 z y) (+.f64 #s(literal -1 binary64) (.f64 y (.f64 y #s(literal 1/6 binary64)))))
(+.f64 x (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z)))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y))) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(-.f64 x (.f64 z (.f64 y (.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))))
(.f64 (neg.f64 (.f64 z x)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) z)) (/.f64 #s(literal -1 binary64) z)))
(.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))
(.f64 z (+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (.f64 x #s(literal -1/2 binary64)) z))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (*.f64 y #s(literal 1/6 binary64))))) z)))
(+.f64 x (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64)))))
(neg.f64 (.f64 z (.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)))))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) z))))))
(neg.f64 (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))))))))))
(.f64 y (-.f64 (.f64 y (.f64 y (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (-.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) z))
(.f64 y (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (.f64 z (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) z))
(.f64 z (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y))) z) (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 x z))))
(+.f64 x (.f64 y (/.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (+.f64 z (.f64 y (.f64 x #s(literal -1/2 binary64)))))))
(-.f64 x (.f64 z (.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))))
(+.f64 x (.f64 y (.f64 (-.f64 (.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1/4 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (.f64 y (*.f64 x #s(literal -1/2 binary64))))))))
(-.f64 x (.f64 y (+.f64 z (.f64 (.f64 y y) (+.f64 (.f64 z #s(literal -1/6 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64)) (.f64 z #s(literal 1/120 binary64)))))))))
(.f64 z (.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (.f64 z y))) y)) (-.f64 #s(literal 0 binary64) y))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (.f64 y z))))))
(+.f64 x (.f64 y (-.f64 (/.f64 (-.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))) z)))
(+.f64 x (.f64 y (-.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (.f64 y (.f64 y y))) (.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1/216 binary64)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y))) (.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (.f64 z (.f64 (.f64 y #s(literal 1/6 binary64)) y)))))) z)))
(.f64 z (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (/.f64 (.f64 x (.f64 y y)) z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (/.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z)) (+.f64 (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 x z))) (-.f64 (/.f64 (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x) z) (.f64 y (+.f64 (.f64 y (.f64 y #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))

Outputs
(-.f64 x (*.f64 z y))

Calls

3 calls:

18.0ms	y
17.0ms	z
15.0ms	x

Results

Accuracy	Segments	Branch
53.5%	1	`z`
53.5%	1	`x`
53.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(neg.f64 (*.f64 z y))
x
(neg.f64 (*.f64 z y))

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
37.9%	1	`y`
43.0%	3	`x`
43.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
37.9%	1	`y`
37.9%	1	`x`
37.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.193408593413242e+96	2.6673014295368216e+101
17.0ms	-3.4747710460080163e+68	-6.908192436315051e+64

Results

27.0ms

256×

valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

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

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

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

ival-sin: 5.0ms (25.8% of total)

ival-sub: 1.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
30.0ms	0.8089585468826352	2.486433371013924e+26
15.0ms	-0.45865315162773207	-4.476197198754286e-8
8.0ms	-4.692852950744006e+119	-4.089270281347142e+119

Results

42.0ms

352×

valid

Compiler

Compiled 643 to 450 computations (30% saved)

Precisions

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

ival-cos: 14.0ms (45.9% of total)

ival-sin: 10.0ms (32.8% of total)

ival-mult: 5.0ms (16.4% of total)

ival-sub: 2.0ms (6.6% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.137241154798617e-5	0.0009573939225751705
18.0ms	-0.45865315162773207	-4.476197198754286e-8

Results

21.0ms

256×

valid

Compiler

Compiled 482 to 333 computations (30.9% saved)

Precisions

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

ival-mult: 6.0ms (45.6% of total)

ival-cos: 3.0ms (22.8% of total)

ival-sin: 2.0ms (15.2% of total)

ival-sub: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.251603619515578e+95	1.3948454000184716e+96
21.0ms	-2.2788320946322982e+177	-1.262699010868483e+171

Results

26.0ms

224×

valid

Compiler

Compiled 200 to 153 computations (23.5% saved)

Precisions

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

ival-cos: 7.0ms (35.8% of total)

ival-mult: 6.0ms (30.7% of total)

ival-sin: 5.0ms (25.6% of total)

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	121
1	89	121
2	112	121
3	120	121
4	123	121

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -5799999999999999720283978351506296435130281823660083266253754466304 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -430000000000000031537717169205757961306951900732235126761006084532151803697599041221009788568380890319878391755062640640 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3152519739159347/18014398509481984 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (neg.f64 (.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -1170935903116329/9007199254740992 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8762203435012037/9223372036854775808 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -1900000000000000105619626977521451636158636630268475584381276767603416994460681834689245140700792649457069297118511318456574377262429521534485449666345415949219776855801856 binary64)) (neg.f64 (.f64 z y)) (if (<=.f64 z #s(literal 1079999999999999992193614612575476719228011866847401949991682930300659931296875948081632465911808 binary64)) x (neg.f64 (.f64 z y))))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -5799999999999999720283978351506296435130281823660083266253754466304 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -430000000000000031537717169205757961306951900732235126761006084532151803697599041221009788568380890319878391755062640640 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3152519739159347/18014398509481984 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (neg.f64 (.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -430000000000000031537717169205757961306951900732235126761006084532151803697599041221009788568380890319878391755062640640 binary64)) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 y #s(literal -3152519739159347/18014398509481984 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z)))))
(if (<=.f64 y #s(literal -1170935903116329/9007199254740992 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8762203435012037/9223372036854775808 binary64)) (+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 z (.f64 y #s(literal 1/6 binary64))))) z))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -1900000000000000105619626977521451636158636630268475584381276767603416994460681834689245140700792649457069297118511318456574377262429521534485449666345415949219776855801856 binary64)) (neg.f64 (.f64 z y)) (if (<=.f64 z #s(literal 1079999999999999992193614612575476719228011866847401949991682930300659931296875948081632465911808 binary64)) x (neg.f64 (.f64 z y))))
(if (<=.f64 z #s(literal -1900000000000000105619626977521451636158636630268475584381276767603416994460681834689245140700792649457069297118511318456574377262429521534485449666345415949219776855801856 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y z)) (if (<=.f64 z #s(literal 1079999999999999992193614612575476719228011866847401949991682930300659931296875948081632465911808 binary64)) x (-.f64 #s(literal 0 binary64) (.f64 y z))))
x

soundness2.2s (19.9%)

Rules

6292×	`-lowering-.f32`
6292×	`-lowering-.f64`
5570×	`-lowering-.f32`
5570×	`-lowering-.f64`
5362×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	222	142
2	2072	141
0	10968	141
0	112	665
1	364	637
2	1154	625
3	3561	619
4	6427	619
0	8158	619
0	927	8920
1	3436	8577
0	8459	8577
0	311	4460
1	1058	4149
2	3815	4102
0	8748	4102
0	8	20
1	36	20
2	255	20
3	3510	20
0	8366	20

Stop Event

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

Compiler

Compiled 270 to 147 computations (45.6% saved)

preprocess69.0ms (0.6%)

Compiler: Compiled 298 to 120 computations (59.7% saved)

analyze0.0ms (0%)

sample1.4s (13.1%)

preprocess95.0ms (0.9%)

explain169.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.3%)

localize39.0ms (0.4%)

series12.0ms (0.1%)

rewrite343.0ms (3.1%)

simplify262.0ms (2.4%)

eval30.0ms (0.3%)

prune67.0ms (0.6%)

simplify217.0ms (2%)

localize305.0ms (2.8%)

series67.0ms (0.6%)

rewrite437.0ms (4%)

simplify488.0ms (4.4%)

eval244.0ms (2.2%)

prune173.0ms (1.6%)

simplify158.0ms (1.4%)

localize202.0ms (1.8%)

series35.0ms (0.3%)

rewrite559.0ms (5.1%)

simplify418.0ms (3.8%)

eval187.0ms (1.7%)

prune185.0ms (1.7%)

simplify203.0ms (1.8%)

localize190.0ms (1.7%)

series59.0ms (0.5%)

rewrite503.0ms (4.6%)

simplify539.0ms (4.9%)

eval188.0ms (1.7%)

prune238.0ms (2.2%)

regimes258.0ms (2.3%)

regimes64.0ms (0.6%)

regimes59.0ms (0.5%)

regimes42.0ms (0.4%)

regimes54.0ms (0.5%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch38.0ms (0.3%)

bsearch57.0ms (0.5%)

bsearch32.0ms (0.3%)

bsearch35.0ms (0.3%)

simplify13.0ms (0.1%)

soundness2.2s (19.9%)

preprocess69.0ms (0.6%)

end0.0ms (0%)

Profiling