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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (7.6%)

Memory

-58.7MiB live, 2 008.4MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-cos: 258.0ms (37.7% of total)

ival-sin: 198.0ms (28.9% of total)

ival-mult: 154.0ms (22.5% of total)

ival-sub: 66.0ms (9.6% of total)

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

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess52.0ms (0.3%)

Memory

-17.8MiB live, 60.9MiB allocated

Algorithm

2×	egg-herbie

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
174×	`distribute-lft-neg-in`
168×	`associate-r`
162×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	93	93
2	174	93
3	385	93
4	691	93
5	920	93
6	1102	93
7	1153	93
8	1161	93
9	1165	93
0	8	9
1	15	9
2	27	9
3	39	9
4	60	9
5	90	9
6	148	9
7	216	9
8	276	9
9	305	9
10	321	9
0	321	9

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

explain490.0ms (2.8%)

Memory

-68.0MiB live, 233.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

56.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 15.0ms (37.9% of total)

ival-cos: 12.0ms (30.3% of total)

ival-mult: 9.0ms (22.7% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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)

simplify16.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	15	24
2	27	24
3	39	24
4	60	24
5	90	24
6	148	24
7	216	24
8	276	24
9	305	24
10	321	24
0	321	24

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 (0.2%)

Memory

8.8MiB live, 47.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(*.f64 z (sin.f64 y))

Samples

31.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sub: 7.0ms (32.9% of total)

ival-cos: 6.0ms (28.2% of total)

ival-sin: 5.0ms (23.5% of total)

ival-mult: 3.0ms (14.1% of total)

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

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

series11.0ms (0.1%)

Memory

-16.4MiB live, 21.6MiB allocated

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
3.0ms	x	@	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)))
1.0ms	y	@	inf	(- (* x (cos y)) (* z (sin y)))

rewrite536.0ms (3%)

Memory

26.5MiB live, 808.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 986×	`accelerator-lowering-fma.f32`
10 986×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
3 866×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	28	21
2	205	21
3	1981	21
0	8366	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 232

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

simplify489.0ms (2.8%)

Memory

3.7MiB live, 634.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 936×	`accelerator-lowering-fma.f32`
12 936×	`accelerator-lowering-fma.f64`
4 366×	`-lowering-.f32`
4 366×	`-lowering-.f64`
2 310×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636

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

eval42.0ms (0.2%)

Memory: 28.8MiB live, 108.6MiB allocated
Compiler: Compiled 16 335 to 749 computations (95.4% saved)

prune51.0ms (0.3%)

Memory

-29.0MiB live, 130.0MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	323	17	340
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	18	341

Accuracy

99.9%

Counts

341 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
▶	57.5%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (.f64 x (cos.f64 y)))
	65.6%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 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)))))))
	44.0%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (+.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)))))))
	44.0%	(/.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))))
	41.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 x x) (+.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 #s(literal 2 binary64) y)))) (/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) (-.f64 (pow.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))))) #s(literal 2 binary64)) (pow.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))))) #s(literal 2 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
▶	43.9%	(-.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))))) (.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))))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	75.0%	(-.f64 x (*.f64 z (sin.f64 y)))
	51.0%	(-.f64 x (*.f64 z y))
	44.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	49.3%	(+.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)))
	49.3%	(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
	43.9%	(.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)))))))
	99.8%	(.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)))))
▶	57.5%	(*.f64 x (cos.f64 y))
▶	33.6%	x

Compiler

Compiled 972 to 482 computations (50.4% saved)

simplify298.0ms (1.7%)

Memory

35.8MiB live, 661.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))
✓	cost-diff	0	(+.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 #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)))))
✓	cost-diff	128	(-.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))))) (.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))))))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	cost-diff	128	(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z)))
✓	cost-diff	6656	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (.f64 x (cos.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (sin.f64 y))
✓	cost-diff	6400	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))

Rules

8 700×	`accelerator-lowering-fma.f32`
8 700×	`accelerator-lowering-fma.f64`
3 160×	`-lowering-.f32`
3 160×	`-lowering-.f64`
1 944×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	305
1	83	303
2	216	300
3	962	296
4	3230	294
5	6841	294
0	8106	278

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (- 0 (sin y)) z) (* x (cos y)))
(- 0 (sin y))
0
(sin y)
y
z
(* x (cos y))
x
(cos y)
x
(* x (cos y))
x
(cos y)
y
(+ (* (* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
(* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z)))
(- 1/2 (* 1/2 (cos (* 2 y))))
1/2
(* 1/2 (cos (* 2 y)))
(cos (* 2 y))
(* 2 y)
2
y
(neg (* z z))
(* z z)
z
(/ 1 (+ 0 (* z (sin y))))
1
(+ 0 (* z (sin y)))
0
(* z (sin y))
(sin y)
(* x (cos y))
x
(cos y)
(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
(* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
1/2
(* 1/2 (cos (* 2 y)))
(cos (* 2 y))
(* 2 y)
2
y
(/ (* x x) (+ (* x (cos y)) (* z (sin y))))
(* x x)
x
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(cos y)
(* z (sin y))
z
(sin y)
(* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
(* z z)

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

localize412.0ms (2.3%)

Memory

7.3MiB live, 603.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.4%	(.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)))))
✓	accuracy	81.5%	(/.f64 (.f64 z z) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	75.6%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	69.9%	(/.f64 (.f64 x x) (+.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
✓	accuracy	84.8%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z)))
✓	accuracy	75.9%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (.f64 x (cos.f64 y)))
✓	accuracy	75.6%	(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))

Samples

171.0ms	100×	1	valid
135.0ms	134×	0	valid
17.0ms	22×	2	valid

Compiler

Compiled 313 to 35 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-cos: 71.0ms (32.4% of total)

ival-sub: 43.0ms (19.6% of total)

ival-div: 40.0ms (18.2% of total)

ival-mult: 24.0ms (10.9% of total)

ival-sin: 24.0ms (10.9% of total)

ival-add: 8.0ms (3.6% of total)

adjust: 6.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series72.0ms (0.4%)

Memory

8.8MiB live, 165.5MiB allocated

Counts

17 → 420

Calls

Call 1

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

Outputs
#<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 (* 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))) (* 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))) (* x (cos 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (sin 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 (* 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 (* -1 y)>
#<alt (* y (- (* 1/6 (pow y 2)) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))>
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (sin y))>
#<alt (* -1 (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 (* 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 x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
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#<alt (/ (- (+ (* -1 (/ (* (pow x 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (* (pow x 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) z)>
#<alt (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (- (/ (* (pow x 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (* (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 4) (* (pow (cos y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))) z))>
#<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 1/2>
#<alt (+ 1/2 (* -1 (pow y 2)))>
#<alt (+ 1/2 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1/2 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 y)))>
#<alt (* 1/2 (cos (* 2 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 (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) 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 (/ (pow x 2) (* z (sin y)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y)))))>
#<alt (* (pow x 2) (+ (* 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 (* (pow x 2) (+ (* 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 (/ x (cos y))>
#<alt (* x (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))))>
#<alt (* x (- (+ (/ 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)))))>
#<alt (* x (- (+ (* -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))))))>
#<alt (/ x (cos y))>
#<alt (* -1 (* x (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y)))))>
#<alt (* -1 (* x (- (* -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)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1 (* y (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (* -1/2 x))) x)) (+ (* -1/6 z) (* 1/2 z))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow x 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ x (cos y))>
#<alt (+ (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ x (cos y)))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (sin y) (pow (cos y) 2)))) (/ x (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 3)))))) (/ (sin y) (pow (cos y) 2)))) (/ x (cos y)))>
#<alt (/ (pow x 2) (* z (sin y)))>
#<alt (/ (+ (* -1 (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) (/ (pow x 2) (sin y))) z)>
#<alt (/ (- (+ (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))) (/ (pow x 2) (sin y))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 5) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ (pow x 2) (sin y))) (+ (* -1 (/ (* (pow x 4) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ (pow x 2) (* z (sin y)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow x 2) (sin y))) (/ (* (pow x 3) (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (* -1 (/ (pow x 2) (sin y)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* (pow x 3) (cos y)) (pow (sin y) 2))) z)) (* -1 (/ (pow x 2) (sin y)))) z))>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))>
#<alt (* (pow z 2) (+ (* 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 (* (pow z 2) (+ (* 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 (/ z (sin y))>
#<alt (* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))>
#<alt (* z (- (+ (/ 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)))))>
#<alt (* z (- (+ (* -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))))))>
#<alt (/ z (sin y))>
#<alt (* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))>
#<alt (* -1 (* z (- (* -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)))))>
#<alt (/ z (sin y))>
#<alt (+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))>
#<alt (+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (pow z 2) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))>
#<alt (/ (pow z 2) x)>
#<alt (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow y 2) (pow z 2)) x)>
#<alt (* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))>
#<alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)>
#<alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)>
#<alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))>

Calls

105 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
5.0ms	y	@	inf	(+ (* (* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
3.0ms	y	@	inf	(* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z)))
3.0ms	z	@	0	(* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))
3.0ms	z	@	inf	(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))

rewrite1.2s (6.7%)

Memory

-7.5MiB live, 2 085.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 184×	`-lowering-.f32`
5 184×	`-lowering-.f64`
3 724×	`/-lowering-/.f32`
3 724×	`/-lowering-/.f64`
2 322×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	156
1	193	127
2	1887	126
0	8922	119

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 2 853

Calls

Call 1

Inputs
(+ (* (- 0 (sin y)) z) (* x (cos y)))
(- 0 (sin y))
(sin y)
(* x (cos y))
(cos y)
(+ (* (* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
(* (- 1/2 (* 1/2 (cos (* 2 y)))) (neg (* z z)))
(+ 0 (* z (sin y)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y))))) (* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y))))))
(* (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* x x) (+ (* x (cos y)) (* z (sin y)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(* 1/2 (cos (* 2 y)))
(/ 1 (+ 0 (* z (sin y))))
(/ (* x x) (+ (* x (cos y)) (* z (sin y))))
(/ (* z z) (+ (* x (cos y)) (* z (sin y))))
(* (- 1/2 (* 1/2 (cos (* 2 y)))) (/ (* z z) (+ (* x (cos y)) (* z (sin y)))))

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

simplify573.0ms (3.2%)

Memory

19.7MiB live, 800.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 484×	`-lowering-.f32`
6 484×	`-lowering-.f64`
6 334×	`accelerator-lowering-fma.f32`
6 334×	`accelerator-lowering-fma.f64`
4 472×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1124	9523
1	3986	9345
0	8267	9018

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
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 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
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(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))

Outputs
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
(+ (* -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))) (* 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))) (* 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)))
(* 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (sin y)))
(-.f64 #s(literal 0 binary64) (*.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))) (* x (cos 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 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (/.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 1/6 (pow y 2)) 1))
(.f64 y (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal -1 binary64)))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(.f64 y (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) #s(literal -1 binary64)))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
(* -1 (sin y))
(-.f64 #s(literal 0 binary64) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 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 (.f64 (.f64 y y) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))) #s(literal -1/6 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)
(* 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 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y 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 y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 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 #s(literal -1/2 binary64) (.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 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 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(+.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)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(-.f64 (.f64 x (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)))))) (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (/.f64 z x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (/.f64 z x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (/.f64 z x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y)))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(.f64 (-.f64 (.f64 (/.f64 z x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (cos.f64 y)) (-.f64 #s(literal 0 binary64) x))
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(-.f64 (/.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 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))))
(+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+.f64 (/.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 x (-.f64 (/.f64 (.f64 (.f64 x (pow.f64 (cos.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 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (cos.f64 y) (/.f64 (+.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)))))))
(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+.f64 (/.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 x (-.f64 (.f64 x (+.f64 (/.f64 (.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (neg.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 (+.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 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (.f64 (cos.f64 y) (/.f64 (+.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)))))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x (cos.f64 y))))
(/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x)
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y)) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y)) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (*.f64 x (cos.f64 y))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(/.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y))) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.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 (cos.f64 y) #s(literal 2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64))))) (.f64 z z)) (cos.f64 y))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal 2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.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 3 binary64)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.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 (cos.f64 y) #s(literal 2 binary64)))) x)) (-.f64 #s(literal 0 binary64) x))

eval757.0ms (4.3%)

Memory: 39.3MiB live, 1 433.7MiB allocated
Compiler: Compiled 268 501 to 6 154 computations (97.7% saved)

prune460.0ms (2.6%)

Memory

-3.8MiB live, 691.2MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	3 586	14	3 600
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	3 595	23	3 618

Accuracy

100.0%

Counts

3 618 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z x)
	34.2%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))) x)
	44.0%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (+.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)))))))
	57.2%	(/.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)))))
	81.2%	(-.f64 (.f64 x (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)))))) (sin.f64 y)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	75.0%	(-.f64 x (*.f64 z (sin.f64 y)))
▶	51.0%	(-.f64 x (*.f64 z y))
▶	44.3%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
	30.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
	30.9%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	49.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
▶	49.3%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
	30.7%	(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
▶	99.8%	(.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)))))
	89.4%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	26.1%	(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
	26.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
	30.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
	30.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	57.5%	(*.f64 x (cos.f64 y))
✓	33.6%	x

Compiler

Compiled 781 to 492 computations (37% saved)

simplify410.0ms (2.3%)

Memory

-5.1MiB live, 591.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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)))))
✓	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 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64))))
✓	cost-diff	0	(-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z)
✓	cost-diff	0	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #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 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	cost-diff	0	(cos.f64 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	26624	(.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)))))

Rules

10 952×	`accelerator-lowering-fma.f32`
10 952×	`accelerator-lowering-fma.f64`
4 364×	`-lowering-.f32`
4 364×	`-lowering-.f64`
1 856×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	292
1	68	292
2	174	292
3	453	212
4	1651	212
5	5231	212
0	8175	204

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (1%)

Memory

2.1MiB live, 157.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(*.f64 z (sin.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)))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.7%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(+.f64 x (.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
✓	accuracy	99.9%	(.f64 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z))
✓	accuracy	99.9%	(.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y z) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 y z) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(*.f64 z (sin.f64 y))

Samples

130.0ms

256×

valid

Compiler

Compiled 239 to 30 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

const: 30.0ms (33.8% of total)

ival-cos: 26.0ms (29.3% of total)

ival-mult: 13.0ms (14.7% of total)

ival-div: 5.0ms (5.6% of total)

ival-sin: 5.0ms (5.6% of total)

ival-sub: 4.0ms (4.5% of total)

ival-add: 3.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (0.6%)

Memory

-38.6MiB live, 55.3MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

135 calls:

Time	Variable		Point	Expression
20.0ms	y	@	-inf	(+ x (* y (- (* y (+ (* x -1/2) (* (* y z) 1/6))) z)))
19.0ms	z	@	0	(+ x (* y (- (* y (+ (* x -1/2) (* (* y z) 1/6))) z)))
1.0ms	z	@	inf	(+ x (* y (- (* y (+ (* x -1/2) (* (* y z) 1/6))) z)))
1.0ms	z	@	inf	(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))
1.0ms	x	@	inf	(/ (- (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))))

rewrite830.0ms (4.7%)

Memory

56.1MiB live, 1 196.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 668×	`/-lowering-/.f32`
4 668×	`/-lowering-/.f64`
4 592×	`accelerator-lowering-fma.f32`
4 592×	`accelerator-lowering-fma.f64`
4 384×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	161	152
2	1458	152
0	8250	145

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 560

Calls

Call 1

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

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

simplify461.0ms (2.6%)

Memory

-34.6MiB live, 1 023.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 044×	`accelerator-lowering-fma.f32`
8 044×	`accelerator-lowering-fma.f64`
7 018×	`-lowering-.f32`
7 018×	`-lowering-.f64`
2 846×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	6497
1	2210	6089
2	7840	6058
0	8265	5753

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

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

eval436.0ms (2.5%)

Memory: -1.4MiB live, 1 101.3MiB allocated
Compiler: Compiled 142 586 to 5 535 computations (96.1% saved)

prune408.0ms (2.3%)

Memory

-11.3MiB live, 881.7MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	3 052	25	3 077
Fresh	4	11	15
Picked	3	2	5
Done	0	3	3
Total	3 059	41	3 100

Accuracy

100.0%

Counts

3 100 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	18.6%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
	16.0%	(/.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 z (sin.f64 y)))
	57.2%	(/.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))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	33.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
▶	32.3%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
	61.1%	(/.f64 #s(literal 1 binary64) (.f64 (-.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 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	81.2%	(-.f64 (.f64 x (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)))))) (sin.f64 y)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	75.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	51.0%	(-.f64 x (*.f64 z y))
	40.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (sin.f64 y)) (/.f64 z z)))
	16.0%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
▶	21.5%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
	49.2%	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))))
	49.3%	(+.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	30.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
	30.9%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	49.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	30.9%	(+.f64 x (.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	30.8%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	30.7%	(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	29.6%	(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.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))))
▶	89.5%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
▶	89.4%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	26.1%	(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
	26.1%	(.f64 z (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
	2.8%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	41.1%	(*.f64 y (-.f64 (/.f64 x y) z))
	20.8%	(.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))
	21.3%	(.f64 y (-.f64 (.f64 y (.f64 y (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) z))
▶	30.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
	30.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
✓	57.5%	(*.f64 x (cos.f64 y))
	44.3%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	33.6%	x

Compiler

Compiled 1 329 to 854 computations (35.7% saved)

simplify364.0ms (2%)

Memory

32.8MiB live, 464.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(*.f64 x (/.f64 (cos.f64 y) z))
✓	cost-diff	0	(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 z y) x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	cost-diff	128	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))

Rules

9 326×	`accelerator-lowering-fma.f32`
9 326×	`accelerator-lowering-fma.f64`
3 430×	`-lowering-.f32`
3 430×	`-lowering-.f64`
2 366×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	232
1	83	232
2	233	232
3	687	232
4	1762	228
5	2649	228
6	3990	228
7	6048	228
8	7562	228
0	8326	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* z (- (/ (* x (cos y)) z) (sin y)))
z
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (cos y))
x
(cos y)
y
(sin y)
(- 0 (* z y))
0
(* z y)
z
y
(/ 1 (+ (/ 1 x) (/ (/ (* z y) x) x)))
1
(+ (/ 1 x) (/ (/ (* z y) x) x))
(/ 1 x)
x
(/ (/ (* z y) x) x)
(/ (* z y) x)
(* z y)
z
y
(* x (+ 1 (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2))))
x
(+ 1 (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2)))
1
(* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2))
(* y y)
y
(+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2)
(* (* y y) (+ 1/24 (* (* y y) -1/720)))
(+ 1/24 (* (* y y) -1/720))
1/24
(* (* y y) -1/720)
-1/720
-1/2
(* z (- (* x (/ (cos y) z)) (sin y)))
z
(- (* x (/ (cos y) z)) (sin y))
(* x (/ (cos y) z))
x
(/ (cos y) z)
(cos y)
y
(sin y)

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

localize182.0ms (1%)

Memory

2.3MiB live, 238.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.7%	(*.f64 x (/.f64 (cos.f64 y) z))
✓	accuracy	89.5%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
✓	accuracy	100.0%	(.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))
✓	accuracy	98.8%	(.f64 (.f64 y y) #s(literal -1/720 binary64))
✓	accuracy	98.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x))
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
✓	accuracy	97.9%	(/.f64 (/.f64 (*.f64 z y) x) x)
✓	accuracy	96.0%	(/.f64 (*.f64 z y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	accuracy	99.9%	(*.f64 x (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (*.f64 x (cos.f64 y)) z)
✓	accuracy	89.5%	(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))

Samples

128.0ms

256×

valid

Compiler

Compiled 235 to 35 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 41.0ms (50.5% of total)

ival-div: 12.0ms (14.8% of total)

ival-cos: 7.0ms (8.6% of total)

ival-sin: 6.0ms (7.4% of total)

const: 6.0ms (7.4% of total)

ival-add: 5.0ms (6.2% of total)

ival-sub: 3.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory

0.1MiB live, 78.4MiB allocated

Counts

21 → 552

Calls

Call 1

Inputs
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (- (/ (* x (cos y)) z) (sin y))>
#<alt (/ (* x (cos y)) z)>
#<alt (* x (cos y))>
#<alt (- 0 (* z y))>
#<alt (* z y)>
#<alt (/ 1 (+ (/ 1 x) (/ (/ (* z y) x) x)))>
#<alt (+ (/ 1 x) (/ (/ (* z y) x) x))>
#<alt (/ 1 x)>
#<alt (/ (/ (* z y) x) x)>
#<alt (* x (+ 1 (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2))))>
#<alt (+ 1 (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2)))>
#<alt (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2))>
#<alt (* y y)>
#<alt (* z (- (* x (/ (cos y) z)) (sin y)))>
#<alt (- (* x (/ (cos y) z)) (sin y))>
#<alt (* x (/ (cos y) z))>
#<alt (/ (cos y) z)>
#<alt (/ (* z y) x)>
#<alt (* (* y y) -1/720)>
#<alt (* (* y y) (+ 1/24 (* (* y y) -1/720)))>

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

Calls

138 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(* z (- (* x (/ (cos y) z)) (sin y)))
3.0ms	x	@	inf	(/ 1 (+ (/ 1 x) (/ (/ (* z y) x) x)))
2.0ms	x	@	0	(* x (+ 1 (* (* y y) (+ (* (* y y) (+ 1/24 (* (* y y) -1/720))) -1/2))))
1.0ms	y	@	-inf	(* z (- (/ (* x (cos y)) z) (sin y)))
1.0ms	y	@	inf	(* z (- (/ (* x (cos y)) z) (sin y)))

rewrite635.0ms (3.6%)

Memory

-9.9MiB live, 467.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 536×	`-lowering-.f32`
4 536×	`-lowering-.f64`
4 196×	`/-lowering-/.f32`
4 196×	`/-lowering-/.f64`
3 066×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	182
1	212	182
2	1930	180
0	8263	169

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 568

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (/.f64 x (/.f64 z (cos.f64 y)))) (.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(+.f64 (.f64 (/.f64 x (/.f64 z (cos.f64 y))) z) (.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(fma.f64 z (/.f64 x (/.f64 z (cos.f64 y))) (*.f64 z (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(fma.f64 (/.f64 x (/.f64 z (cos.f64 y))) z (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) z) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))
(*.f64 z (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
(*.f64 (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)) z)
(+.f64 (/.f64 x (/.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (/.f64 z (cos.f64 y))))
(-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y))
(-.f64 (/.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))
(fma.f64 x (/.f64 (cos.f64 y) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 x (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) z) x) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) (/.f64 x z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))) (-.f64 (pow.f64 (/.f64 z (*.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (*.f64 (/.f64 x (/.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (neg.f64 (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))) (.f64 (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))) (.f64 (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (.f64 (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))))) (-.f64 (pow.f64 (/.f64 z (*.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y)))) (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))))
(.f64 (-.f64 (pow.f64 (/.f64 z (.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (/.f64 x (/.f64 z (cos.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x (cos.f64 y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y))) z))
(/.f64 x (/.f64 z (cos.f64 y)))
(/.f64 (*.f64 x (cos.f64 y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x (cos.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y)))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(pow.f64 (/.f64 z (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x (cos.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (cos.f64 y) z))
(.f64 (cos.f64 y) (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (cos.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x))
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(fma.f64 (.f64 y (.f64 y y)) (.f64 y #s(literal -1/720 binary64)) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/720 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) y) y (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/720 binary64)))))
(fma.f64 (.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) y) y (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/720 binary64))))) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/720 binary64)))))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y #s(literal -1/720 binary64))))))
(/.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 y y))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)))) (.f64 y y)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 y (.f64 y #s(literal -1/720 binary64))) (-.f64 (.f64 y (*.f64 y #s(literal -1/720 binary64))) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) (.f64 y y)) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 y y))))
(.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64)))) (.f64 y y))
(.f64 (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 y (.f64 y #s(literal -1/720 binary64))))) y)

simplify607.0ms (3.4%)

Memory

8.3MiB live, 759.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 768×	`accelerator-lowering-fma.f32`
12 768×	`accelerator-lowering-fma.f64`
6 288×	`-lowering-.f32`
6 288×	`-lowering-.f64`
2 872×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	4838
1	1131	4749
2	3283	4668
0	8480	4517

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) 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 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -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 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))
(- (/ (* 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)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(* 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))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* 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)
(* y z)
(/ (pow x 2) (* y z))
(* (pow x 2) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z))))
(* (pow x 2) (+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)))
(* x (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* z (- (/ (* (pow y 2) z) x) y)))
(+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 2))) (* -1 (/ (pow y 2) x)))) y)))
(/ (pow x 2) (* y z))
(/ (+ (* -1 (/ (pow x 3) (* (pow y 2) z))) (/ (pow x 2) y)) z)
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 2)))) (/ (pow x 3) (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow x 5) (* (pow y 4) (pow z 3)))) (/ (pow x 2) y)) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (/ (pow x 3) (* (pow y 2) z)))) z)
(/ (pow x 2) (* y z))
(* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 3) (* (pow y 2) z))) z))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* (pow y 3) z)) (/ (pow x 3) (pow y 2))) z)) (* -1 (/ (pow x 2) y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* (pow y 4) z)) (/ (pow x 4) (pow y 3))) z)) (/ (pow x 3) (pow y 2))) z)) (* -1 (/ (pow x 2) y))) z))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (/ (* y (pow z 2)) x) z)))
(+ x (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (* -1 (/ (pow z 2) x)))) z)))
(/ (pow x 2) (* y z))
(/ (+ (* -1 (/ (pow x 3) (* y (pow z 2)))) (/ (pow x 2) z)) y)
(/ (- (+ (/ (pow x 2) z) (/ (pow x 4) (* (pow y 2) (pow z 3)))) (/ (pow x 3) (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ (pow x 5) (* (pow y 3) (pow z 4)))) (/ (pow x 2) z)) (+ (* -1 (/ (pow x 4) (* (pow y 2) (pow z 3)))) (/ (pow x 3) (* y (pow z 2))))) y)
(/ (pow x 2) (* y z))
(* -1 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 3) (* y (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* y (pow z 3))) (/ (pow x 3) (pow z 2))) y)) (* -1 (/ (pow x 2) z))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* y (pow z 4))) (/ (pow x 4) (pow z 3))) y)) (/ (pow x 3) (pow z 2))) y)) (* -1 (/ (pow x 2) z))) y))
(/ (* y z) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (+ 1 (/ (* y z) x)) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(/ (* y z) (pow x 2))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(/ (* y z) (pow x 2))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(/ (* y z) (pow x 2))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(/ (* y z) (pow x 2))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(/ (* y z) (pow x 2))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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))))))
(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/720 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (* 1/24 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ x (pow y 4))) (+ (* -1/720 x) (+ (* 1/24 (/ x (pow y 2))) (/ x (pow y 6))))))
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)))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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 (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos 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 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) 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 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -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 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))
(- (/ (* 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)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ x z)
(+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* 1/24 (/ (* x (pow y 2)) z)))) (/ x z))
(+ (* (pow y 2) (+ (* -1/2 (/ x z)) (* (pow y 2) (+ (* -1/720 (/ (* x (pow y 2)) z)) (* 1/24 (/ x z)))))) (/ x z))
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ (* x (cos y)) z)
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
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(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* 1/24 (pow y 2))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
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Outputs
(* 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)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
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(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) z))
(+ (* -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)))
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(*.f64 x (cos.f64 y))
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(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/ (* x (cos y)) z)
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(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
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(*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
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(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(+.f64 (/.f64 x z) (.f64 y (+.f64 #s(literal -1 binary64) (.f64 y (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (.f64 y #s(literal 1/6 binary64)))))))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
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(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(- (/ (* x (cos y)) z) (sin y))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ x z)
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 x z))
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(+.f64 (/.f64 x z) (.f64 (.f64 y y) (.f64 (/.f64 x z) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
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(+.f64 (/.f64 x z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(/ (* x (cos y)) z)
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(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
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x
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(+.f64 x (.f64 y (.f64 y (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y 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 y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(* x (cos y))
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(+.f64 (/.f64 x z) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) z) (.f64 (/.f64 (.f64 x (.f64 y y)) z) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ (* x (cos y)) z)
(/.f64 (*.f64 x (cos.f64 y)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (.f64 y (+.f64 (.f64 (/.f64 (.f64 y y) z) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (/.f64 #s(literal -1/2 binary64) z)))))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(/ (* y z) x)
(*.f64 y (/.f64 z x))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(.f64 y (.f64 y (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(* -1/720 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* -1/720 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))

eval192.0ms (1.1%)

Memory: -1.5MiB live, 359.2MiB allocated
Compiler: Compiled 22 306 to 2 239 computations (90% saved)

prune215.0ms (1.2%)

Memory

20.2MiB live, 300.7MiB allocated

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	1 173	15	1 188
Fresh	4	27	31
Picked	5	0	5
Done	0	5	5
Total	1 182	47	1 229

Accuracy

100.0%

Counts

1 229 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.9%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	3.0%	(/.f64 (/.f64 (*.f64 x x) z) y)
	18.6%	(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
	16.0%	(/.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 z (sin.f64 y)))
	15.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
	57.2%	(/.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))
	17.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (/.f64 y x)) (.f64 z (/.f64 y x))) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) z)))
	7.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 (.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) (/.f64 x (*.f64 z (/.f64 y x)))))))
	3.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 z x)) x))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	33.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	44.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	61.1%	(/.f64 #s(literal 1 binary64) (.f64 (-.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 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
	23.4%	(/.f64 #s(literal 1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 y (*.f64 x x)))))
	81.2%	(-.f64 (.f64 x (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)))))) (sin.f64 y)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	75.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	51.0%	(-.f64 x (*.f64 z y))
	40.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) (sin.f64 y)) (/.f64 z z)))
	16.0%	(-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))))
	49.2%	(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))))
	49.3%	(+.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
	30.9%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
	30.7%	(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
	49.3%	(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
	30.9%	(+.f64 x (.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	30.9%	(+.f64 x (.f64 y (.f64 y (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
	30.8%	(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
	30.7%	(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
	18.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 z (/.f64 y x))))) (.f64 x x))
	89.5%	(*.f64 (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.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))))
	21.5%	(*.f64 (neg.f64 y) z)
	47.2%	(.f64 z (/.f64 (.f64 x (cos.f64 y)) z))
	28.8%	(*.f64 z (/.f64 x z))
	26.1%	(.f64 z (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))))
	2.8%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	41.1%	(*.f64 y (-.f64 (/.f64 x y) z))
	20.8%	(.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))
	21.3%	(.f64 y (-.f64 (.f64 y (.f64 y (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) z))
	84.9%	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
	30.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
✓	57.5%	(*.f64 x (cos.f64 y))
	44.3%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	33.6%	x

Compiler

Compiled 2 076 to 808 computations (61.1% saved)

regimes171.0ms (1%)

Memory

-32.2MiB live, 179.0MiB allocated

Counts

72 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))

Calls

4 calls:

93.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	z
23.0ms	x
20.0ms	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)

regimes73.0ms (0.4%)

Memory

9.6MiB live, 207.0MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	y
17.0ms	z
17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x

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)

regimes46.0ms (0.3%)

Memory

-9.9MiB live, 110.7MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs
(*.f64 x (cos.f64 y))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z x)
(*.f64 x (cos.f64 y))

Calls

3 calls:

14.0ms	z
14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
89.4%	3	`x`
78.1%	2	`y`
87.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.1%)

Memory

2.1MiB live, 41.4MiB allocated

Counts

45 → 3

Calls

Call 1

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

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Memory

32.2MiB live, 71.2MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
78.0%	3	`z`
81.3%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes79.0ms (0.4%)

Memory

-31.0MiB live, 89.3MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.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 y (-.f64 (/.f64 x y) z))
(/.f64 (/.f64 (*.f64 x x) z) y)
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 z x)) x))
(+.f64 x (.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 z (/.f64 y x))))) (.f64 x x))
(+.f64 x (.f64 y (.f64 y (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 y (*.f64 x x)))))
(.f64 y (-.f64 (.f64 y (.f64 y (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (/.f64 y x)) (.f64 z (/.f64 y x))) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 (.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) (/.f64 x (*.f64 z (/.f64 y x)))))))
(*.f64 x (cos.f64 y))

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

Calls

3 calls:

39.0ms	y
23.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
69.9%	3	`z`
75.9%	3	`y`
70.7%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes38.0ms (0.2%)

Memory

-1.4MiB live, 84.7MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 y) z)
(*.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 y (-.f64 (/.f64 x y) z))
(/.f64 (/.f64 (*.f64 x x) z) y)
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(+.f64 x (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y y))))
(+.f64 x (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+.f64 x (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 z x)) x))
(+.f64 x (.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(+.f64 x (.f64 y (-.f64 (.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (.f64 y (-.f64 (.f64 (*.f64 x #s(literal -1/2 binary64)) y) z)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (*.f64 z y) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 y (.f64 z y)))) (.f64 z y))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 (.f64 x #s(literal -1/2 binary64)) y) (*.f64 z #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 x (.f64 z (/.f64 y x))))) (.f64 x x))
(+.f64 x (.f64 y (.f64 y (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))))
(+.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 y (*.f64 x x)))))
(.f64 y (-.f64 (.f64 y (.f64 y (.f64 z (+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 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 y (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z)))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y z))))
(+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/6 binary64))))) z))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 y (.f64 y (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))))
(.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 x (.f64 (.f64 y y) (+.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (.f64 y y) (+.f64 (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 z (/.f64 y x)) (.f64 z (/.f64 y x))) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))))) (+.f64 (.f64 x x) (.f64 (.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 z y) (.f64 z (.f64 y (.f64 z y)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 (-.f64 (.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) (/.f64 x (*.f64 z (/.f64 y x)))))))

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

Calls

3 calls:

14.0ms	z
12.0ms	x
10.0ms	y

Results

Accuracy	Segments	Branch
51.0%	1	`z`
51.0%	1	`x`
51.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
44.2%	3	`x`
33.6%	1	`y`
40.6%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0%)

Memory

-25.1MiB live, 13.8MiB allocated

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	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
33.6%	1	`y`
33.6%	1	`z`
33.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.2%)

Memory

25.3MiB live, 62.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.879156372339114e+69	1.640375035241262e+70
18.0ms	-1.2545216567100064e+63	-2.3200577866010606e+58

Samples

18.0ms

192×

valid

Compiler

Compiled 243 to 182 computations (25.1% saved)

Precisions

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

ival-cos: 5.0ms (39.7% of total)

ival-sin: 5.0ms (39.7% of total)

ival-mult: 2.0ms (15.9% of total)

ival-sub: 1.0ms (7.9% of total)

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

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

bsearch106.0ms (0.6%)

Memory

-20.7MiB live, 61.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
87.0ms	8.879156372339114e+69	1.640375035241262e+70
17.0ms	-1.2545216567100064e+63	-2.3200577866010606e+58

Samples

18.0ms

192×

valid

Compiler

Compiled 231 to 170 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 4.0ms (32.9% of total)

ival-sin: 4.0ms (32.9% of total)

ival-mult: 3.0ms (24.7% of total)

ival-sub: 1.0ms (8.2% of total)

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

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

bsearch36.0ms (0.2%)

Memory

29.2MiB live, 68.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.5681301391947786e-69	2.16823674208642e-68
23.0ms	-1.5149266302917497e-36	-5.116307999566639e-39

Samples

20.0ms

224×

valid

Compiler

Compiled 253 to 196 computations (22.5% saved)

Precisions

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

ival-cos: 5.0ms (35.3% of total)

ival-sin: 5.0ms (35.3% of total)

ival-mult: 3.0ms (21.2% of total)

ival-sub: 1.0ms (7.1% of total)

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

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

bsearch31.0ms (0.2%)

Memory

-9.0MiB live, 66.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.76837836052564e-22	3.0478502849384767e-18
15.0ms	-1.3727829895094575e-7	-7.862207008714214e-13

Samples

20.0ms

272×

valid

Compiler

Compiled 304 to 218 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.8% of total)

ival-sin: 3.0ms (24.5% of total)

ival-cos: 2.0ms (16.3% of total)

ival-sub: 1.0ms (8.2% of total)

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

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

bsearch39.0ms (0.2%)

Memory

-20.4MiB live, 100.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.5539387478104907e-111	5.031965401587792e-108
20.0ms	-9.220660496384016e-95	-2.9645446503375414e-103

Samples

27.0ms

272×

valid

Compiler

Compiled 236 to 184 computations (22% saved)

Precisions

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

ival-sin: 9.0ms (44.2% of total)

ival-cos: 7.0ms (34.4% of total)

ival-mult: 3.0ms (14.7% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

simplify11.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	112
1	88	112
2	107	112
3	114	112
4	116	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 8999999999999999886535157000818686956251856111664105790294330307510272 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z x) (.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -1699999999999999985320514640323826126752494991197553943379968 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 11800000000000000089623178869100545309495304458674367265745318742851584 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -6129982163463555/766247770432944429179173513575154591809369561091801088 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3691070895228885/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5100155801499217/37778931862957161709568 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (-.f64 x (.f64 z y)) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -14091255496643/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) x (if (<=.f64 x #s(literal 3384606560206073/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (*.f64 (neg.f64 y) z) x))
x

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -3999999999999999797548541188296075467854580044053640292335616 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 8999999999999999886535157000818686956251856111664105790294330307510272 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) z x) (.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -1699999999999999985320514640323826126752494991197553943379968 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 11800000000000000089623178869100545309495304458674367265745318742851584 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -1699999999999999985320514640323826126752494991197553943379968 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 11800000000000000089623178869100545309495304458674367265745318742851584 binary64)) (-.f64 x (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -6129982163463555/766247770432944429179173513575154591809369561091801088 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3691070895228885/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -6129982163463555/766247770432944429179173513575154591809369561091801088 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3691070895228885/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5100155801499217/37778931862957161709568 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (-.f64 x (.f64 z y)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -5100155801499217/37778931862957161709568 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7788445287802241/2596148429267413814265248164610048 binary64)) (-.f64 x (.f64 y z)) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -14091255496643/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) x (if (<=.f64 x #s(literal 3384606560206073/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (*.f64 (neg.f64 y) z) x))
(if (<=.f64 x #s(literal -14091255496643/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) x (if (<=.f64 x #s(literal 3384606560206073/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z)) x))
x

soundness5.1s (28.7%)

Memory

9.3MiB live, 4 309.7MiB allocated

Rules

12 936×	`accelerator-lowering-fma.f32`
12 936×	`accelerator-lowering-fma.f64`
10 986×	`accelerator-lowering-fma.f32`
10 986×	`accelerator-lowering-fma.f64`
8 044×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	182
1	212	182
2	1930	180
0	8263	169
0	653	6497
1	2210	6089
2	7840	6058
0	8265	5753
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636
0	1124	9523
1	3986	9345
0	8267	9018
0	28	212
1	161	152
2	1458	152
0	8250	145
0	8	21
1	28	21
2	205	21
3	1981	21
0	8366	21

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
1×	iter limit
1×	node limit

Compiler

Compiled 268 to 143 computations (46.6% saved)

preprocess56.0ms (0.3%)

Memory: -16.0MiB live, 138.6MiB allocated
Compiler: Compiled 286 to 110 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	15	24
2	27	24
3	39	24
4	60	24
5	90	24
6	148	24
7	216	24
8	276	24
9	305	24
10	321	24
0	321	24

Iter	Nodes	Cost
0	8	24
1	15	24
2	27	24
3	39	24
4	60	24
5	90	24
6	148	24
7	216	24
8	276	24
9	305	24
10	321	24
0	321	24

analyze0.0ms (0%)

sample1.3s (7.6%)

preprocess52.0ms (0.3%)

explain490.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize39.0ms (0.2%)

series11.0ms (0.1%)

rewrite536.0ms (3%)

simplify489.0ms (2.8%)

eval42.0ms (0.2%)

prune51.0ms (0.3%)

simplify298.0ms (1.7%)

localize412.0ms (2.3%)

series72.0ms (0.4%)

rewrite1.2s (6.7%)

simplify573.0ms (3.2%)

eval757.0ms (4.3%)

prune460.0ms (2.6%)

simplify410.0ms (2.3%)

localize169.0ms (1%)

series107.0ms (0.6%)

rewrite830.0ms (4.7%)

simplify461.0ms (2.6%)

eval436.0ms (2.5%)

prune408.0ms (2.3%)

simplify364.0ms (2%)

localize182.0ms (1%)

series46.0ms (0.3%)

rewrite635.0ms (3.6%)

simplify607.0ms (3.4%)

eval192.0ms (1.1%)

prune215.0ms (1.2%)

regimes171.0ms (1%)

regimes73.0ms (0.4%)

regimes46.0ms (0.3%)

regimes18.0ms (0.1%)

regimes29.0ms (0.2%)

regimes79.0ms (0.4%)

regimes38.0ms (0.2%)

regimes7.0ms (0%)

regimes6.0ms (0%)

bsearch28.0ms (0.2%)

bsearch106.0ms (0.6%)

bsearch36.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch39.0ms (0.2%)

simplify11.0ms (0.1%)

soundness5.1s (28.7%)

preprocess56.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	15	24
2	27	24
3	39	24
4	60	24
5	90	24
6	148	24
7	216	24
8	276	24
9	305	24
10	321	24
0	321	24