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

analyze27.0ms (1%)

Memory

-37.6MiB 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)

sample1.2s (42.3%)

Memory

35.2MiB live, 1 493.6MiB allocated

Samples

968.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 693.0ms

ival-sin: 244.0ms (35.2% of total)

ival-cos: 237.0ms (34.2% of total)

ival-mult: 166.0ms (24% of total)

ival-add: 38.0ms (5.5% of total)

ival-true: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess46.0ms (1.6%)

Memory

3.0MiB live, 42.1MiB allocated

Algorithm

2×	egg-herbie

Rules

164×	`unsub-neg`
162×	`associate-r`
148×	`associate-l`
136×	`distribute-lft-neg-in`
108×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	96
1	81	90
2	141	90
3	323	90
4	488	90
5	728	90
6	898	90
7	977	90
8	1053	90
9	1119	90
10	1133	90
11	1138	90
12	1140	90
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)))

Call 2

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

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

explain114.0ms (4.1%)

Memory

-17.2MiB live, 249.0MiB 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

61.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-sin: 22.0ms (50% of total)

ival-cos: 11.0ms (25% of total)

ival-mult: 8.0ms (18.2% of total)

ival-add: 2.0ms (4.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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 (0.1%)

Memory

9.1MiB live, 9.1MiB 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 (1.2%)

Memory

-4.0MiB live, 76.1MiB 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	99.7%	(*.f64 z (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (37.4% of total)

ival-cos: 5.0ms (31.2% of total)

ival-mult: 3.0ms (18.7% of total)

ival-add: 1.0ms (6.2% of total)

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

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

series8.0ms (0.3%)

Memory

-22.9MiB live, 16.2MiB 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	z	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	x	@	0	(+ (* x (sin y)) (* z (cos y)))
1.0ms	z	@	inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	y	@	-inf	(+ (* x (sin y)) (* z (cos y)))
1.0ms	y	@	inf	(+ (* x (sin y)) (* z (cos y)))

rewrite505.0ms (17.9%)

Memory

18.6MiB live, 1 046.8MiB 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))))) (-.f64 #s(literal 0 binary64) (.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 z (-.f64 #s(literal 0 binary64) (cos.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))))) (.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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (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))))))
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(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (-.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.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 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (.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 (pow.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 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (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)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 (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)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 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 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(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 z (-.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.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)

simplify411.0ms (14.6%)

Memory

20.0MiB live, 603.4MiB 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))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
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) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (fma.f64 x (sin.f64 y) #s(literal 0 binary64)))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))
(* 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))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
(* x (sin y))
(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (fma.f64 (.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)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
z
(+ z (* -1/2 (* (pow y 2) z)))
(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(.f64 z (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)))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
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 (1.3%)

Memory: -4.5MiB live, 82.9MiB allocated
Compiler: Compiled 10 147 to 552 computations (94.6% saved)

prune81.0ms (2.9%)

Memory

8.8MiB live, 86.8MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	268	16	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	16	285

Accuracy

99.9%

Counts

285 → 16

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)))) (-.f64 #s(literal 0 binary64) (.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)))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	57.0%	(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
	50.6%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
	50.5%	(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)
	51.0%	(fma.f64 y x z)
	58.7%	(fma.f64 x (/.f64 (.f64 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 #s(literal 0 binary64) (.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)))))))
▶	43.2%	(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
	17.0%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 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 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))))
	21.8%	(/.f64 (-.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 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)))))
▶	47.1%	(/.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 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))))
	78.2%	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	31.8%	(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (.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))))))
	32.1%	(.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)))) (.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))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
▶	37.2%	z

Compiler

Compiled 984 to 448 computations (54.5% saved)

simplify354.0ms (12.6%)

Memory

-29.3MiB live, 584.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (.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))))
✓	cost-diff	192	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	192	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	6272	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 #s(literal 0 binary64) (.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	(/.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 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))))
✓	cost-diff	192	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	192	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	6144	(-.f64 (.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))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 x (sin.f64 y) #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))

Rules

10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
5 250×	`-lowering-.f32`
5 250×	`-lowering-.f64`
2 558×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	452
1	114	452
2	429	449
3	1650	449
4	4749	439
0	8127	418

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (cos y) z) (* x (sin y)))
(cos y)
y
z
(* x (sin y))
x
(sin y)
z
(+ (* x (sin y)) 0)
x
(sin y)
y
0
(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
(- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))
(* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* z z)
z
(+ 1/2 (* 1/2 (cos (+ y y))))
1/2
(* 1/2 (cos (+ y y)))
(cos (+ y y))
(+ y y)
y
(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
x
(- 1/2 (* 1/2 (cos (+ y y))))
(- (* z (cos y)) (* x (sin y)))
(* z (cos y))
(cos y)
(* x (sin y))
(sin y)
(* (/ (+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))) (+ (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z (cos y)) (+ (* z (cos y)) (* x (sin y))))))
(/ (+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* z z))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (pow (* x (sin y)) 3) (pow (* z (cos y)) 3)))
(+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (- 0 (* 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
(- 0 (* z z))
0
(* z z)
z
(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
(* x x)
x
(- 1/2 (* 1/2 (cos (+ y y))))
(- (pow (* x (sin y)) 3) (pow (* z (cos y)) 3))
(pow (* x (sin y)) 3)
(* x (sin y))
(sin y)
3
(pow (* z (cos y)) 3)
(* z (cos y))
(cos y)
(+ (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z (cos y)) (+ (* z (cos y)) (* x (sin y)))))
(* (* z (cos y)) (+ (* z (cos y)) (* x (sin y))))
(+ (* z (cos y)) (* x (sin y)))

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

localize1.0ms (0%)

Memory: 1.5MiB live, 1.5MiB allocated
Compiler: Compiled 449 to 38 computations (91.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze27.0ms (1%)

sample1.2s (42.3%)

preprocess46.0ms (1.6%)

explain114.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize35.0ms (1.2%)

series8.0ms (0.3%)

rewrite505.0ms (17.9%)

simplify411.0ms (14.6%)

eval35.0ms (1.3%)

prune81.0ms (2.9%)

simplify354.0ms (12.6%)

localize1.0ms (0%)

end0.0ms (0%)

Profiling