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

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)

sample1.5s (13.3%)

Memory

-171.1MiB live, 1 601.7MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 638.0ms

ival-cos: 259.0ms (40.6% of total)

ival-sin: 225.0ms (35.3% of total)

ival-mult: 110.0ms (17.3% of total)

ival-add: 36.0ms (5.6% of total)

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

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess46.0ms (0.4%)

Memory

-15.9MiB live, 61.9MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
1	11	9
0	11	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain136.0ms (1.2%)

Memory

-4.6MiB live, 193.1MiB allocated

FPErrors

Click to see full error table

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

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

76.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-add: 27.0ms (45.6% of total)

ival-cos: 13.0ms (22% of total)

ival-sin: 12.0ms (20.3% of total)

ival-mult: 6.0ms (10.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	128	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	11	24
0	11	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.3%)

Memory

30.5MiB live, 67.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 10.0ms (53.1% of total)

ival-cos: 5.0ms (26.5% of total)

ival-mult: 3.0ms (15.9% of total)

ival-add: 1.0ms (5.3% of total)

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

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

series9.0ms (0.1%)

Memory

-19.0MiB live, 19.7MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite819.0ms (7.1%)

Memory

24.7MiB live, 699.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 256×	`accelerator-lowering-fma.f32`
11 256×	`accelerator-lowering-fma.f64`
4 178×	`-lowering-.f32`
4 178×	`-lowering-.f64`
3 938×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	24	21
2	180	21
3	1853	21
0	8213	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 176

Calls

Call 1

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

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

simplify426.0ms (3.7%)

Memory

-19.0MiB live, 711.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`accelerator-lowering-fma.f32`
12 858×	`accelerator-lowering-fma.f64`
4 718×	`-lowering-.f32`
4 718×	`-lowering-.f64`
2 178×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval35.0ms (0.3%)

Memory: -14.7MiB live, 101.9MiB allocated
Compiler: Compiled 9 985 to 555 computations (94.4% saved)

prune42.0ms (0.4%)

Memory

32.4MiB live, 107.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	269	15	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	15	285

Accuracy

100.0%

Counts

285 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	54.1%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	50.9%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
▶	50.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
	52.1%	(fma.f64 y x z)
	43.3%	(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	8.9%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 (.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64)))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
▶	78.4%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	43.3%	(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	29.2%	(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
	59.0%	(*.f64 z (cos.f64 y))
	42.8%	(*.f64 x (sin.f64 y))
▶	38.6%	z

Compiler

Compiled 798 to 402 computations (49.6% saved)

simplify351.0ms (3.1%)

Memory

-27.9MiB live, 611.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	320	(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	cost-diff	6464	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	128	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	cost-diff	0	(.f64 (.f64 y x) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

14 716×	`accelerator-lowering-fma.f32`
14 716×	`accelerator-lowering-fma.f64`
4 454×	`-lowering-.f32`
4 454×	`-lowering-.f64`
1 504×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
1	93	236
2	229	236
3	680	236
4	2142	232
5	4809	232
0	8315	217

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize240.0ms (2.1%)

Memory

1.9MiB live, 273.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.5%	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	accuracy	87.8%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	75.7%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	56.3%	(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (*.f64 x (sin.f64 y)) z)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.9%	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x)
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
✓	accuracy	99.6%	(.f64 (.f64 y x) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Samples

80.0ms	133×	0	valid
59.0ms	73×	1	valid
48.0ms	47×	2	valid
3.0ms	3×	3	valid

Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-cos: 35.0ms (28.9% of total)

ival-mult: 27.0ms (22.3% of total)

ival-sin: 19.0ms (15.7% of total)

ival-add: 16.0ms (13.2% of total)

adjust: 11.0ms (9.1% of total)

const: 6.0ms (5% of total)

ival-sub: 3.0ms (2.5% of total)

ival-div: 3.0ms (2.5% of total)

ival-neg: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series38.0ms (0.3%)

Memory

39.6MiB live, 77.5MiB allocated

Counts

16 → 420

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1/6 (* x y))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/2 z)>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* -1 (pow z 2))>
#<alt (+ (* -1 (pow z 2)) (* (pow y 2) (+ (pow x 2) (pow z 2))))>
#<alt (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* -1/3 (pow z 2)))) (+ (pow x 2) (pow z 2)))))>
#<alt (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* 2/45 (pow x 2)) (* 2/45 (pow z 2))))))) (+ (pow x 2) (pow z 2)))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 (/ (+ (pow x 2) (pow z 2)) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (+ (pow x 2) (pow z 2)) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (+ (pow x 2) (pow z 2)) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<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 (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>

Calls

105 calls:

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

rewrite477.0ms (4.1%)

Memory

-16.8MiB live, 706.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 122×	`accelerator-lowering-fma.f32`
7 122×	`accelerator-lowering-fma.f64`
4 890×	`-lowering-.f32`
4 890×	`-lowering-.f64`
4 156×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	137
1	213	110
2	1790	110
0	8695	101

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 608

Calls

Call 1

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

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

simplify446.0ms (3.9%)

Memory

15.2MiB live, 724.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 480×	`accelerator-lowering-fma.f32`
8 480×	`accelerator-lowering-fma.f64`
6 732×	`-lowering-.f32`
6 732×	`-lowering-.f64`
3 004×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	571	5995
1	1990	5797
2	7240	5788
0	8064	5295

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
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(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) 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)
(sin y)
(sin.f64 y)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 y (.f64 y (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 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
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(* -1/6 (* x (pow y 3)))
(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(.f64 (.f64 y y) (.f64 y (fma.f64 x #s(literal -1/6 binary64) (/.f64 (.f64 z #s(literal -1/2 binary64)) y))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(.f64 (.f64 y (.f64 y y)) (fma.f64 x #s(literal -1/6 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y y)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(.f64 (.f64 y (.f64 y y)) (+.f64 (fma.f64 x #s(literal -1/6 binary64) (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (.f64 y y)))) (/.f64 z (.f64 y (.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 (.f64 z #s(literal 1/2 binary64)) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 x y)) y)) (neg.f64 (.f64 y (.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(.f64 (fma.f64 x #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (-.f64 (neg.f64 x) (/.f64 z y)) y)) (neg.f64 y))) (neg.f64 (.f64 y (.f64 y y))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) z))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) z))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) z))
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(fma.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 y z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(fma.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 y z))) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(fma.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x) (/.f64 y z))) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(neg.f64 (.f64 z (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (/.f64 y z))) (neg.f64 z))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(.f64 (-.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) (/.f64 y z))) (neg.f64 z))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
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(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 x))) x)))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 z (.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (/.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.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))))
(fma.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))))
(fma.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))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.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))))
(fma.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))))
(fma.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))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (.f64 x #s(literal -1/3 binary64))) (.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal 2/45 binary64))) (.f64 x (.f64 x #s(literal -1/3 binary64)))) (*.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 x x (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal -1/315 binary64)))) (.f64 x (.f64 x #s(literal -1/3 binary64)))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

eval209.0ms (1.8%)

Memory: 29.3MiB live, 398.2MiB allocated
Compiler: Compiled 45 504 to 2 296 computations (95% saved)

prune146.0ms (1.3%)

Memory

-18.5MiB live, 363.8MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 097	22	1 119
Fresh	5	5	10
Picked	2	3	5
Done	0	0	0
Total	1 104	30	1 134

Accuracy

100.0%

Counts

1 134 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	78.5%	(fma.f64 (sin.f64 y) x z)
▶	51.2%	(fma.f64 y (fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x) z)
✓	50.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
▶	28.6%	(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x) z)
	51.2%	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
	50.8%	(fma.f64 y (+.f64 (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (.f64 (*.f64 y x) #s(literal -1/6 binary64)))) z)
	36.9%	(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
▶	52.1%	(fma.f64 y x z)
	36.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
	43.3%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
	31.5%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) z))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	51.1%	(+.f64 (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) z)
	50.8%	(+.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z)
	51.0%	(+.f64 (.f64 x (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)) z)
	70.2%	(*.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)) (neg.f64 z))
	58.9%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
	99.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
	45.6%	(.f64 (neg.f64 x) (-.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)) z) x)))
▶	91.6%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
	59.0%	(*.f64 z (cos.f64 y))
	3.3%	(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	90.1%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	17.2%	(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
	29.3%	(.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
	23.8%	(.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 (sin.f64 y) (.f64 x x))))) (-.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))))
	42.8%	(*.f64 x (sin.f64 y))
✓	38.6%	z

Compiler

Compiled 1 154 to 646 computations (44% saved)

simplify379.0ms (3.3%)

Memory

-5.5MiB live, 441.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 (sin.f64 y) z)
✓	cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	cost-diff	0	(fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x) z)
✓	cost-diff	320	(/.f64 (fma.f64 z z (*.f64 x x)) z)
✓	cost-diff	2624	(-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z)))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x) z)
✓	cost-diff	128	(fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x)
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Rules

12 542×	`accelerator-lowering-fma.f32`
12 542×	`accelerator-lowering-fma.f64`
2 868×	`-lowering-.f32`
2 868×	`-lowering-.f64`
1 932×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	255
1	102	253
2	247	249
3	728	247
4	2007	241
5	5055	179
0	8267	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize182.0ms (1.6%)

Memory

9.5MiB live, 361.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	99.8%	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	accuracy	92.8%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x) z)
✓	accuracy	86.3%	(/.f64 (*.f64 x x) z)
✓	accuracy	71.0%	(/.f64 (fma.f64 z z (*.f64 x x)) z)
✓	accuracy	51.9%	(-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x) z)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	93.3%	(fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x)
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Samples

77.0ms	122×	1	valid
45.0ms	126×	0	valid
3.0ms	4×	2	valid
1.0ms	3×	1	exit
1.0ms	1×	3	valid

Compiler

Compiled 228 to 41 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 29.0ms (31.4% of total)

ival-add: 15.0ms (16.2% of total)

ival-div: 13.0ms (14.1% of total)

adjust: 9.0ms (9.7% of total)

ival-sin: 9.0ms (9.7% of total)

ival-cos: 7.0ms (7.6% of total)

const: 5.0ms (5.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory

-7.9MiB live, 68.4MiB allocated

Counts

20 → 528

Calls

Call 1

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

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

Calls

132 calls:

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

rewrite467.0ms (4.1%)

Memory

-6.8MiB live, 743.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 656×	`-lowering-.f32`
5 656×	`-lowering-.f64`
4 180×	`accelerator-lowering-fma.f32`
4 180×	`accelerator-lowering-fma.f64`
4 062×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	186
1	246	184
2	2183	184
0	8962	167

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 652

Calls

Call 1

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

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

simplify405.0ms (3.5%)

Memory

32.0MiB live, 596.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 656×	`accelerator-lowering-fma.f32`
8 656×	`accelerator-lowering-fma.f64`
6 538×	`-lowering-.f32`
6 538×	`-lowering-.f64`
1 898×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	4760
1	1526	4614
2	5163	4568
0	8206	4255

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

eval188.0ms (1.6%)

Memory: 6.9MiB live, 480.8MiB allocated
Compiler: Compiled 43 993 to 3 054 computations (93.1% saved)

prune190.0ms (1.6%)

Memory

-30.4MiB live, 428.2MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 186	20	1 206
Fresh	5	17	22
Picked	3	2	5
Done	1	2	3
Total	1 195	41	1 236

Accuracy

100.0%

Counts

1 236 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 (-.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) y z)
	58.7%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	78.5%	(fma.f64 (sin.f64 y) x z)
	23.9%	(fma.f64 y (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (.f64 y (*.f64 y #s(literal 1/6 binary64))) x) z)
	51.2%	(fma.f64 y (fma.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal 1/6 binary64)) y x) z)
▶	51.2%	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
✓	52.1%	(fma.f64 y x z)
	36.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
	31.5%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) z))
	29.4%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	31.1%	(/.f64 (.f64 (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) z) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z))) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z)))
	31.2%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
	48.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
▶	59.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	38.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	51.1%	(+.f64 (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) z)
	50.8%	(+.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z)
	51.0%	(+.f64 (.f64 x (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)) z)
	19.5%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (*.f64 y x))))))
	58.9%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
	32.1%	(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
▶	99.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
	88.6%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
✓	91.6%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
	70.2%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
	49.0%	(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
	59.0%	(*.f64 z (cos.f64 y))
	3.3%	(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	90.1%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	17.2%	(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
	29.3%	(.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
	23.8%	(.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 (sin.f64 y) (.f64 x x))))) (-.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))))
	46.0%	(.f64 x (+.f64 y (/.f64 (fma.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x)))
	46.8%	(*.f64 x (+.f64 y (/.f64 z x)))
	3.3%	(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	42.8%	(*.f64 x (sin.f64 y))
▶	17.0%	(*.f64 x y)
	3.3%	(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
✓	38.6%	z

Compiler

Compiled 1 473 to 800 computations (45.7% saved)

simplify328.0ms (2.9%)

Memory

-4.1MiB live, 508.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) z)
✓	cost-diff	1344	(/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
✓	cost-diff	320	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
✓	cost-diff	28032	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))

Rules

11 278×	`accelerator-lowering-fma.f32`
11 278×	`accelerator-lowering-fma.f64`
5 198×	`-lowering-.f32`
5 198×	`-lowering-.f64`
1 956×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	182
1	80	178
2	220	144
3	779	138
4	3730	138
5	5531	138
0	8399	128

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize129.0ms (1.1%)

Memory

-8.0MiB live, 185.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓	accuracy	100.0%	(-.f64 (*.f64 y x) z)
✓	accuracy	99.8%	(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
✓	accuracy	54.4%	(/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
✓	accuracy	99.9%	(fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x)
✓	accuracy	99.8%	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))

Samples

72.0ms

256×

valid

Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions

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

ival-mult: 17.0ms (36.6% of total)

ival-div: 8.0ms (17.2% of total)

ival-sin: 7.0ms (15.1% of total)

ival-cos: 5.0ms (10.8% of total)

ival-add: 4.0ms (8.6% of total)

const: 4.0ms (8.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

7.9MiB live, 46.6MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/ (- (* y x) z) (* (+ (* y x) z) (- (* y x) z)))
0.0ms	y	@	inf	(/ 1 (* z (cos y)))
0.0ms	y	@	-inf	(/ 1 (* z (cos y)))
0.0ms	y	@	inf	(/ (- (* y x) z) (* (+ (* y x) z) (- (* y x) z)))
0.0ms	z	@	0	(/ (- (* y x) z) (* (+ (* y x) z) (- (* y x) z)))

rewrite616.0ms (5.4%)

Memory

28.1MiB live, 646.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 082×	`accelerator-lowering-fma.f32`
7 082×	`accelerator-lowering-fma.f64`
4 540×	`-lowering-.f32`
4 540×	`-lowering-.f64`
3 666×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	138
1	164	108
2	1384	108
0	8704	100

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 912

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(+.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(+.f64 (.f64 z (cos.f64 y)) (neg.f64 (neg.f64 (.f64 (sin.f64 y) x))))
(+.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 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))))
(+.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 y) x))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (.f64 (sin.f64 y) x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (.f64 z (cos.f64 y)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (.f64 z (cos.f64 y)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) (.f64 (sin.f64 y) x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (.f64 (.f64 (sin.f64 y) x) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) #s(literal -1 binary64))))
(-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) (neg.f64 z)))
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simplify684.0ms (6%)

Memory

-9.6MiB live, 715.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 542×	`accelerator-lowering-fma.f32`
8 542×	`accelerator-lowering-fma.f64`
5 782×	`-lowering-.f32`
5 782×	`-lowering-.f64`
3 672×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	4691
1	1958	4452
2	6615	4363
0	8760	4163

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

eval547.0ms (4.8%)

Memory: 27.0MiB live, 723.7MiB allocated
Compiler: Compiled 62 843 to 3 999 computations (93.6% saved)

prune272.0ms (2.4%)

Memory

11.0MiB live, 698.7MiB allocated

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	2 036	24	2 060
Fresh	9	23	32
Picked	3	2	5
Done	0	4	4
Total	2 048	53	2 101

Accuracy

100.0%

Counts

2 101 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x) y z)
	51.2%	(fma.f64 (-.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) y z)
	36.7%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
	36.5%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
	58.7%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	78.5%	(fma.f64 (sin.f64 y) x z)
	36.8%	(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
	51.2%	(fma.f64 y (fma.f64 y (.f64 (.f64 y x) #s(literal -1/6 binary64)) x) z)
✓	52.1%	(fma.f64 y x z)
	31.5%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) z))
	31.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))
	29.4%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	59.0%	(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
	48.8%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	59.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
	7.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (.f64 x (.f64 y y)))) x))
	31.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))))
	13.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (*.f64 x y))))
	22.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (neg.f64 z))))
	21.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 z (neg.f64 z))))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 y (.f64 y (-.f64 (.f64 x x) (.f64 z (/.f64 z (.f64 y y))))))))
	37.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))
	31.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 y x z) (-.f64 z (.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x z))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
	30.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
	29.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y (/.f64 z x))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
	36.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
✓	59.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	38.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	51.1%	(+.f64 (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) z)
	50.8%	(+.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z)
	51.0%	(+.f64 (.f64 x (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)) z)
	58.9%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
	59.0%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) z)
	20.4%	(.f64 (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
	59.0%	(*.f64 (cos.f64 y) z)
	88.6%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
✓	91.6%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
	70.2%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
	49.0%	(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
	17.2%	(.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
	3.3%	(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	17.2%	(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
	29.3%	(.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
	23.8%	(.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 (sin.f64 y) (.f64 x x))))) (-.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))))
	46.0%	(.f64 x (+.f64 y (/.f64 (fma.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x)))
	46.8%	(*.f64 x (+.f64 y (/.f64 z x)))
	3.3%	(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	42.8%	(*.f64 x (sin.f64 y))
✓	17.0%	(*.f64 x y)
	3.3%	(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
	3.3%	(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
✓	38.6%	z

Compiler

Compiled 2 379 to 888 computations (62.7% saved)

regimes96.0ms (0.8%)

Memory

-18.3MiB live, 184.8MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 y (.f64 (.f64 y x) #s(literal -1/6 binary64)) x) z)
(fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x) y z)
(fma.f64 y (fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x) z)
(fma.f64 y (fma.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal 1/6 binary64)) y x) z)
(fma.f64 (-.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) y z)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
(.f64 x (+.f64 y (/.f64 (fma.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x)))
(+.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 z (neg.f64 z))))
(fma.f64 y (+.f64 (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (.f64 (*.f64 y x) #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (neg.f64 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(+.f64 (.f64 x (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(.f64 (neg.f64 x) (-.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)) z) x)))
(+.f64 (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y (/.f64 z x))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))
(fma.f64 y (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (.f64 y (*.f64 y #s(literal 1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 y (.f64 y (-.f64 (.f64 x x) (.f64 z (/.f64 z (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))))
(.f64 (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 y x z) (-.f64 z (.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x z))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) z) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z))) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (.f64 x (.f64 y y)))) x))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) z) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) z)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
(.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (-.f64 (*.f64 (sin.f64 y) x) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y)))) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 (sin.f64 y) (.f64 x x))))) (-.f64 (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 y))) (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 (.f64 x (sin.f64 y)) z)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64)))))

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

Calls

4 calls:

24.0ms	x
23.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
23.0ms	z
22.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes76.0ms (0.7%)

Memory

-11.5MiB live, 147.9MiB allocated

Counts

62 → 3

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	y
17.0ms	z
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
16.0ms	x

Results

Accuracy	Segments	Branch
87.3%	3	`x`
82.5%	3	`y`
88.6%	3	`z`
78.5%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes90.0ms (0.8%)

Memory

30.7MiB live, 109.4MiB allocated

Counts

55 → 4

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	x
28.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
15.0ms	z
15.0ms	y

Results

Accuracy	Segments	Branch
62.6%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
80.5%	4	`y`
77.1%	3	`x`
74.4%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes66.0ms (0.6%)

Memory

-17.2MiB live, 62.0MiB allocated

Counts

53 → 3

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
31.0ms	x

Results

Accuracy	Segments	Branch
62.4%	3	`x`
76.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes113.0ms (1%)

Memory

11.2MiB live, 125.7MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(fma.f64 y x z)
(.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(.f64 #s(literal -1/6 binary64) (.f64 x (.f64 y (.f64 y y))))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(.f64 x (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(fma.f64 y (fma.f64 y (.f64 (.f64 y x) #s(literal -1/6 binary64)) x) z)
(fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/6 binary64) x) y z)
(fma.f64 y (fma.f64 (neg.f64 x) (.f64 y (.f64 y #s(literal 1/6 binary64))) x) z)
(fma.f64 y (fma.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal 1/6 binary64)) y x) z)
(fma.f64 (-.f64 x (.f64 x (.f64 y (*.f64 y #s(literal 1/6 binary64))))) y z)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
(.f64 x (+.f64 y (/.f64 (fma.f64 (.f64 y z) (*.f64 y #s(literal -1/2 binary64)) z) x)))
(+.f64 (.f64 x (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 z (neg.f64 z))))
(fma.f64 y (+.f64 (+.f64 x (.f64 y (.f64 z #s(literal -1/2 binary64)))) (.f64 y (.f64 (*.f64 y x) #s(literal -1/6 binary64)))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (neg.f64 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(+.f64 (.f64 x (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 x (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(.f64 (neg.f64 x) (-.f64 (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 y y)) z) x)))
(+.f64 (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y (/.f64 z x))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))
(fma.f64 y (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (.f64 y (*.f64 y #s(literal 1/6 binary64))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) z)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x x) z))) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 y (.f64 y (-.f64 (.f64 x x) (.f64 z (/.f64 z (.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 y x) z) (fma.f64 y x z))))))
(.f64 (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (*.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 y x z) (-.f64 z (.f64 y x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x z))) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) z) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z))) (fma.f64 y (-.f64 x (.f64 x (.f64 y (.f64 y #s(literal 1/6 binary64))))) (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 x (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (.f64 x (.f64 y y)))) x))

Outputs
(fma.f64 y x z)

Calls

4 calls:

45.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
37.0ms	x
15.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
52.1%	1	`z`
52.1%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
z
(*.f64 x y)

Outputs
z
(*.f64 x y)

Calls

4 calls:

2.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
43.6%	2	`x`
38.6%	1	`y`
42.7%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.2%)

Memory

-29.9MiB live, 14.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

23.0ms	x
1.0ms	z
1.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
38.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
38.6%	1	`z`
38.6%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch57.0ms (0.5%)

Memory

28.7MiB live, 68.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.423709567356602e+179	1.1482947811910217e+183
39.0ms	-1.0501544714475462e+96	-1.3757568625079877e+87

Samples

46.0ms

272×

valid

Compiler

Compiled 304 to 218 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 27.0ms (69.7% of total)

ival-sin: 6.0ms (15.5% of total)

ival-mult: 3.0ms (7.7% of total)

ival-add: 1.0ms (2.6% of total)

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

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

bsearch137.0ms (1.2%)

Memory

-57.6MiB live, 102.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
48.0ms	3.89346605096573e+196	1.6881627271568914e+202
31.0ms	8.320892361696605e-9	1.1606425367991661e-6
54.0ms	-41685130.56555358	-371.115208771129

Samples

65.0ms

400×

valid

Compiler

Compiled 495 to 346 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-cos: 36.0ms (65.7% of total)

ival-sin: 11.0ms (20.1% of total)

ival-mult: 5.0ms (9.1% of total)

ival-add: 2.0ms (3.6% of total)

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

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

bsearch182.0ms (1.6%)

Memory

-17.3MiB live, 60.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1606425367991661e-6	3.5875043430571397e-6
96.0ms	-371.115208771129	-2.2106142873340826e-8

Samples

95.0ms

240×

valid

Compiler

Compiled 405 to 269 computations (33.6% saved)

Precisions

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

ival-mult: 84.0ms (94% of total)

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

ival-cos: 2.0ms (2.2% of total)

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

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

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

bsearch15.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.8814689067744024e+98	3.968116854143326e+99

Samples

10.0ms

112×

valid

Compiler

Compiled 99 to 77 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 3.0ms (42.1% of total)

ival-cos: 2.0ms (28.1% of total)

ival-mult: 1.0ms (14% of total)

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

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

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

simplify84.0ms (0.7%)

Memory

-27.8MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	99
1	56	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 359999999999999975688150213487576864055887131774044240831288605061050548283880382023913671465679319112803500313657329762615692378686147606663008593836047847303662917858774986260480 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1357680363825023/1180591620717411303424 binary64)) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128 binary64)) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3530822107858469/36028797018963968 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8264141345021879/2361183241434822606848 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z) (.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 2900000000000000220958584518619378718576206097660833200853200506439430156592527384137291964367241216 binary64)) z (*.f64 x y))
z

Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 359999999999999975688150213487576864055887131774044240831288605061050548283880382023913671465679319112803500313657329762615692378686147606663008593836047847303662917858774986260480 binary64)) (fma.f64 (sin.f64 y) x z) (.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1357680363825023/1180591620717411303424 binary64)) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128 binary64)) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -375 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 y #s(literal 1357680363825023/1180591620717411303424 binary64)) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z) (if (<=.f64 y #s(literal 4299999999999999823112282145919050451056601907839362388870200930886105241177741086334929283647371469278882834546699804689570841788143885488994575051593077680416256284412282246823666138650583265968128 binary64)) (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3530822107858469/36028797018963968 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 8264141345021879/2361183241434822606848 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z) (.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -3530822107858469/36028797018963968 binary64)) (.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 8264141345021879/2361183241434822606848 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 y x))) x) z) (.f64 (sin.f64 y) x)))
(fma.f64 y x z)
(if (<=.f64 x #s(literal 2900000000000000220958584518619378718576206097660833200853200506439430156592527384137291964367241216 binary64)) z (*.f64 x y))
(if (<=.f64 x #s(literal 2900000000000000220958584518619378718576206097660833200853200506439430156592527384137291964367241216 binary64)) z (*.f64 y x))
z

soundness1.1s (9.2%)

Memory

25.6MiB live, 778.2MiB allocated

Rules

12 858×	`accelerator-lowering-fma.f32`
12 858×	`accelerator-lowering-fma.f64`
11 256×	`accelerator-lowering-fma.f32`
11 256×	`accelerator-lowering-fma.f64`
8 656×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	4760
1	1526	4614
2	5163	4568
0	8206	4255
0	8	21
1	24	21
2	180	21
3	1853	21
0	8213	20
0	36	137
1	213	110
2	1790	110
0	8695	101
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

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

Compiler

Compiled 221 to 117 computations (47.1% saved)

preprocess53.0ms (0.5%)

Memory: -16.2MiB live, 140.8MiB allocated
Compiler: Compiled 240 to 104 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (13.3%)

preprocess46.0ms (0.4%)

explain136.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize35.0ms (0.3%)

series9.0ms (0.1%)

rewrite819.0ms (7.1%)

simplify426.0ms (3.7%)

eval35.0ms (0.3%)

prune42.0ms (0.4%)

simplify351.0ms (3.1%)

localize240.0ms (2.1%)

series38.0ms (0.3%)

rewrite477.0ms (4.1%)

simplify446.0ms (3.9%)

eval209.0ms (1.8%)

prune146.0ms (1.3%)

simplify379.0ms (3.3%)

localize182.0ms (1.6%)

series41.0ms (0.4%)

rewrite467.0ms (4.1%)

simplify405.0ms (3.5%)

eval188.0ms (1.6%)

prune190.0ms (1.6%)

simplify328.0ms (2.9%)

localize129.0ms (1.1%)

series19.0ms (0.2%)

rewrite616.0ms (5.4%)

simplify684.0ms (6%)

eval547.0ms (4.8%)

prune272.0ms (2.4%)

regimes96.0ms (0.8%)

regimes76.0ms (0.7%)

regimes90.0ms (0.8%)

regimes66.0ms (0.6%)

regimes113.0ms (1%)

regimes7.0ms (0.1%)

regimes27.0ms (0.2%)

bsearch57.0ms (0.5%)

bsearch137.0ms (1.2%)

bsearch182.0ms (1.6%)

bsearch15.0ms (0.1%)

simplify84.0ms (0.7%)

soundness1.1s (9.2%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling