Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.2s (22.2%)

Memory

21.5MiB live, 1 809.7MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 519.0ms (43.2% of total)

ival-cos: 334.0ms (27.8% of total)

ival-sin: 303.0ms (25.2% of total)

ival-add: 36.0ms (3% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain114.0ms (1.2%)

Memory

-20.9MiB live, 234.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 17.0ms (39.1% of total)

ival-sin: 17.0ms (39.1% of total)

ival-mult: 7.0ms (16.1% of total)

ival-add: 2.0ms (4.6% of total)

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

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

preprocess64.0ms (0.7%)

Memory

-6.0MiB live, 72.1MiB allocated

Algorithm

1×	egg-herbie

Rules

162×	`associate-r`
160×	`unsub-neg`
146×	`associate-l`
132×	`distribute-lft-neg-in`
106×	`distribute-rgt-in`

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	688	81
6	861	81
7	947	81
8	1025	81
9	1091	81
10	1105	81
11	1110	81
12	1112	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	16	24
0	16	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

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

localize41.0ms (0.4%)

Memory

-17.2MiB live, 63.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.015625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1328125	(*.f64 z (sin.f64 y))
accuracy	0.16015625	(*.f64 x (cos.f64 y))

Samples

35.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 15.0ms (59.6% of total)

ival-sin: 5.0ms (19.9% of total)

ival-mult: 3.0ms (11.9% of total)

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

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

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

series10.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify214.0ms (2.2%)

Memory

-12.3MiB live, 141.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite304.0ms (3.1%)

Memory

15.4MiB live, 202.6MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 068×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

Inputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))

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

eval105.0ms (1.1%)

Memory: 14.0MiB live, 51.0MiB allocated
Compiler: Compiled 8 272 to 560 computations (93.2% saved)

prune237.0ms (2.4%)

Memory

-36.4MiB live, 60.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	254	16	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	16	271

Accuracy

99.9%

Counts

271 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
	55.5%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	55.2%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
▶	55.6%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	38.7%	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	51.3%	(+.f64 (.f64 x (cos.f64 y)) (exp.f64 (log.f64 (.f64 (sin.f64 y) z))))
	77.9%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	38.3%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
	55.5%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))
	50.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	51.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶	41.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	60.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 616 to 378 computations (38.6% saved)

simplify150.0ms (1.5%)

Memory

17.0MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))
cost-diff	41920	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff	27392	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))

Rules

8 168×	`lower-fma.f32`
8 160×	`lower-fma.f64`
2 296×	`lower-*.f32`
2 290×	`lower-*.f64`
1 274×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	257
0	52	213
1	91	213
2	176	212
3	523	212
4	1618	212
5	4334	212
6	6152	212
7	7926	212
0	8222	212

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1%)

Memory

13.0MiB live, 204.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(*.f64 (cos.f64 y) x)
accuracy	0.23828125	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.29429628907376804	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	13.009442013684716	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
accuracy	0.16015625	(*.f64 (cos.f64 y) x)
accuracy	0.23828125	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	3.203108486641647	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	28.17892352416055	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
accuracy	0	(sin.f64 y)
accuracy	0.1328125	(*.f64 (sin.f64 y) z)
accuracy	37.559314176494645	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
accuracy	0	(fma.f64 z y x)
accuracy	30.978377408993587	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.08041000976844201	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.16015625	(*.f64 (cos.f64 y) x)

Samples

72.0ms

256×

valid

Compiler

Compiled 258 to 31 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 13.0ms (27.7% of total)

ival-sin: 7.0ms (14.9% of total)

ival-cos: 7.0ms (14.9% of total)

ival-pow2: 7.0ms (14.9% of total)

ival-add: 5.0ms (10.6% of total)

ival-div: 4.0ms (8.5% of total)

ival-sub: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory

16.6MiB live, 131.6MiB allocated

Counts

16 → 456

Calls

Call 1

Inputs
#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 (sin.f64 y) z) (patch (.f64 (sin.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x) (taylor inf x) (#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (pow (cos y) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (cos y) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (cos y) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow (cos y) 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
6.0ms	z	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms	y	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
5.0ms	z	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))
4.0ms	y	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))

simplify198.0ms (2%)

Memory

-21.9MiB live, 308.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 984×	`lower-fma.f64`
8 984×	`lower-fma.f32`
5 666×	`lower-*.f64`
5 666×	`lower-*.f32`
2 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	5992
1	1993	5824
2	6859	5769
0	8244	5492

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(* (pow z 2) (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2)))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (* -1 (sin y))))
(* z (sin y))
(* z (- (/ (* x (cos y)) z) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (* -1 (sin y))))
(* z (- (+ (/ (* x (cos y)) z) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))) (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (* -1 (sin y))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (sin y))))
(* z (sin y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* x (cos y)) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) z)) (sin y))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))))) z)) (* x (cos y))) z)) (sin y))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* x (cos y))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* x (cos y))) z)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
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))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 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)))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(* -1 (/ (* (pow y 2) (pow z 2)) x))
(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 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)))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (/ (* y (pow z 3)) (pow x 2)) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2))))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (* -1 (/ (pow z 3) (pow x 2))))) (/ (pow z 2) x)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (+ (* -1 (* z (sin y))) (* x (cos y)))))
(* x (pow (cos y) 2))
(* x (pow (cos y) 2))
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(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x))
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (fma.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)))) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (.f64 z z))
(/ (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (.f64 z z))
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* (pow x 2) (pow (cos y) 2)))
(.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* -1 (* z (sin y)))) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))
(.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x)) (neg.f64 x))
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (.f64 z z))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x))
(.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (.f64 z z))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) x) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x)) x)

rewrite334.0ms (3.4%)

Memory

16.1MiB live, 495.2MiB allocated

Rules

6 814×	`lower-fma.f32`
6 806×	`lower-fma.f64`
4 568×	`lower-/.f32`
4 562×	`lower-/.f64`
3 536×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	172
0	52	128
1	210	128
2	1558	128
0	8464	128

Stop Event

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

Counts

16 → 1 318

Calls

Call 1

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

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

eval484.0ms (4.9%)

Memory: 33.2MiB live, 559.5MiB allocated
Compiler: Compiled 98 163 to 3 023 computations (96.9% saved)

prune223.0ms (2.3%)

Memory

-33.8MiB live, 372.3MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	2 213	21	2 234
Fresh	9	2	11
Picked	2	3	5
Done	0	0	0
Total	2 224	26	2 250

Accuracy

100.0%

Counts

2 250 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))))
	41.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (+.f64 (/.f64 (.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x) z) (sin.f64 y)) z)))
	97.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	80.5%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	72.9%	(fma.f64 (sin.f64 y) z (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
▶	77.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	38.7%	(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))))
▶	21.9%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	32.2%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	21.3%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 z z) x) (.f64 #s(literal -1/2 binary64) x)) (/.f64 (fma.f64 z z (*.f64 x x)) x)) y z) y x))
	90.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	89.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	60.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (cos.f64 y) x))
	33.1%	#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 z z) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x))) x) y z) y x))
	50.4%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.5%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
✓	51.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	17.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
▶	51.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
✓	41.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	50.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
	38.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
▶	15.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 806 to 552 computations (31.5% saved)

simplify200.0ms (2%)

Memory

25.4MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
cost-diff	0	#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
cost-diff	0	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
cost-diff	320	(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z y x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Rules

17 316×	`lower-fma.f32`
17 310×	`lower-fma.f64`
2 560×	`lower-*.f32`
2 548×	`lower-*.f64`
1 606×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	237
0	61	231
1	88	217
2	141	217
3	258	217
4	503	217
5	1170	217
6	2202	217
7	3355	217
8	5411	217
9	7334	217
10	7967	217
0	8039	217

Stop Event

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

Calls

Call 1

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

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

localize290.0ms (3%)

Memory

-154.1MiB live, 184.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.161216608936508	(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)
accuracy	4.350545916230743	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
accuracy	28.17892352416055	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
accuracy	33.97799299105708	#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))
accuracy	0	(sin.f64 y)
accuracy	0.08041000976844201	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	0.16015625	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	29.3727945633723	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	(fma.f64 z y x)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
accuracy	0.7028256725777805	(/.f64 #s(literal 1 binary64) (fma.f64 z y x))
accuracy	30.978377408993587	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
accuracy	0	(*.f64 z y)
accuracy	30.72995253282623	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	30.978377408993587	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	0.08041000976844201	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.16015625	(*.f64 (cos.f64 y) x)
accuracy	0.18359375	(pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.27181625976844204	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

266.0ms

256×

valid

Compiler

Compiled 201 to 30 computations (85.1% saved)

Precisions

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

ival-mult: 11.0ms (23.9% of total)

ival-pow2: 7.0ms (15.2% of total)

ival-div: 6.0ms (13% of total)

ival-sin: 6.0ms (13% of total)

ival-cos: 5.0ms (10.9% of total)

ival-pow: 5.0ms (10.9% of total)

ival-add: 3.0ms (6.5% of total)

ival-sub: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-25.3MiB live, 92.6MiB allocated

Counts

19 → 576

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (patch (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (cos y))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* z y) x) (.f64 z y)) (patch #s(approx (+ ( z y) x) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (patch #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* y z) x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z y x) (patch (fma.f64 z y x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (patch (/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (+ (* (sin y) z) (* (cos y) x)) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x))
6.0ms	z	@	0	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (+ (* (sin y) z) (* (cos y) x)) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x))
4.0ms	x	@	0	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (+ (* (sin y) z) (* (cos y) x)) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x))
4.0ms	x	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (+ (* (sin y) z) (* (cos y) x)) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x))
3.0ms	z	@	-inf	((/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (/ 1 (/ 1 (+ (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (/ 1 (+ (* z y) x)) (+ (* z y) x) (+ (* (sin y) z) (* (cos y) x)) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z) (* (cos y) x))

simplify218.0ms (2.2%)

Memory

18.6MiB live, 206.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 850×	`lower-fma.f64`
7 850×	`lower-fma.f32`
7 392×	`lower-*.f64`
7 392×	`lower-*.f32`
2 404×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	547	5846
1	1767	5744
2	5929	5679
0	8446	5381

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 555

Calls

Call 1

Inputs
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* x (cos y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(/ 1 (* y z))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* y z))
(* -1 (/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* (pow y 3) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (/ (pow x 2) (pow y 3))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
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))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(/ 1 x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (/ z (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 4))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 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)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
x
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) z)
(* (pow y 2) (+ z (* -1/3 (* (pow y 2) z))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* 2/45 (* (pow y 2) z))))))
(* (pow y 2) (+ z (* (pow y 2) (+ (* -1/3 z) (* (pow y 2) (+ (* -1/315 (* (pow y 2) z)) (* 2/45 z)))))))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (/ 1 z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* z (sin y)) (* x (cos y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* z (pow (sin y) 2))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(sin y)
(sin y)
(sin y)
(sin y)
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(/ 1 (* y z))
(* -1 (/ (- (/ x (* y (pow z 2))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 3))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (/ (pow x 2) (pow z 3))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
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(cos y)
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Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
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(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
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(* y z)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (* y z) x) 1) x))
(/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) y (/.f64 (.f64 (.f64 (*.f64 z z) y) y) x)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) z) z (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) x) (.f64 z y)) x) #s(literal 1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 z y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* (pow x 2) (pow (cos y) 2)))
(.f64 (neg.f64 x) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)

rewrite279.0ms (2.8%)

Memory

-8.0MiB live, 277.4MiB allocated

Rules

4 956×	`lower-*.f32`
4 952×	`lower-fma.f32`
4 946×	`lower-fma.f64`
4 944×	`lower-*.f64`
4 524×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	189
0	61	179
1	212	169
2	1209	169
0	8469	169

Stop Event

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

Counts

19 → 647

Calls

Call 1

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

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

eval201.0ms (2%)

Memory: 18.0MiB live, 356.7MiB allocated
Compiler: Compiled 30 767 to 2 679 computations (91.3% saved)

prune238.0ms (2.4%)

Memory

16.5MiB live, 340.3MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 278	11	1 289
Fresh	8	10	18
Picked	2	3	5
Done	0	3	3
Total	1 288	27	1 315

Accuracy

100.0%

Counts

1 315 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	41.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (+.f64 (/.f64 (.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x) z) (sin.f64 y)) z)))
▶	97.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	80.5%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))))
	39.2%	(fma.f64 (sin.f64 y) (exp.f64 (log.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	72.9%	(fma.f64 (sin.f64 y) z (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
✓	77.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	30.8%	(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))))
✓	21.9%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	32.2%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)))
	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	39.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	90.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	89.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	60.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (cos.f64 y) x))
▶	50.4%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
▶	50.5%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
✓	51.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶	17.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	15.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z y) x) (*.f64 z y)))))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z y) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 (.f64 z z) y))) y))))
✓	41.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	38.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	15.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 694 to 522 computations (24.8% saved)

simplify179.0ms (1.8%)

Memory

1.8MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (exp.f64 (log.f64 (cos.f64 y))) x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
cost-diff	12800	(exp.f64 (log.f64 (cos.f64 y)))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(sqrt.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))

Rules

7 128×	`lower-fma.f32`
7 112×	`lower-fma.f64`
2 310×	`lower-*.f32`
2 296×	`lower-*.f64`
2 126×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	295
0	89	283
1	138	272
2	231	270
3	582	270
4	1469	270
5	3396	270
6	4699	270
7	5834	270
8	7411	270
0	8081	270

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (2.4%)

Memory

4.8MiB live, 491.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (sin.f64 y) z (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
accuracy	0.03125	(exp.f64 (log.f64 (cos.f64 y)))
accuracy	0.04296875	(*.f64 (exp.f64 (log.f64 (cos.f64 y))) x)
accuracy	5.934022410138083	(log.f64 (cos.f64 y))
accuracy	0.0234375	(*.f64 z (sin.f64 y))
accuracy	0.12109375	(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
accuracy	3.4320209650800364	(sqrt.f64 (*.f64 z (sin.f64 y)))
accuracy	13.146793910751084	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
accuracy	0.0078125	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.06640625	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	6.8469724818357145	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0	(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z)
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)
accuracy	6.89960454061084	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
accuracy	0.04296875	(*.f64 (cos.f64 y) x)
accuracy	0.0546875	(/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy	0.05535126953688403	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	9.403439002727398	#s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))

Samples

90.0ms	34×	2	valid
81.0ms	175×	0	invalid
16.0ms	19×	1	valid
14.0ms	28×	0	valid

Compiler

Compiled 270 to 50 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 42.0ms (26.3% of total)

ival-log: 30.0ms (18.8% of total)

adjust: 18.0ms (11.3% of total)

ival-add: 15.0ms (9.4% of total)

ival-cos: 11.0ms (6.9% of total)

ival-pow2: 9.0ms (5.6% of total)

ival-pow: 7.0ms (4.4% of total)

ival-div: 6.0ms (3.8% of total)

ival-sin: 6.0ms (3.8% of total)

ival-sqrt: 5.0ms (3.1% of total)

const: 4.0ms (2.5% of total)

ival-exp: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series277.0ms (2.8%)

Memory

-18.7MiB live, 213.9MiB allocated

Counts

24 → 660

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) (patch (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) (patch #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 z (sin.f64 y))) (patch (sqrt.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (cos.f64 y))) (patch (exp.f64 (log.f64 (cos.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) (patch (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) #<representation binary64>) () ())
#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (log.f64 (cos.f64 y)) (patch (log.f64 (cos.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* -1 (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) (patch #s(approx (/ 1 (pow (+ ( (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) (patch (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) (patch (fma.f64 (sin.f64 y) z (.f64 (exp.f64 (log.f64 (cos.f64 y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) (patch (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) (patch (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) (patch (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) (patch (.f64 (exp.f64 (log.f64 (cos.f64 y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3)) (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (taylor -inf x) (#s(alt #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (sin.f64 y) z)) (patch #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (cos y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (/ (* z (sin y)) (pow (cos y) 2))) x)) (/ 1 (cos y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
197.0ms	y	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (exp (log (cos y))) (+ (* (sin y) z) (* (exp (log (cos y))) x)) (sin y) (* (exp (log (cos y))) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))) (* (cos y) x) (log (cos y)))
30.0ms	y	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (exp (log (cos y))) (+ (* (sin y) z) (* (exp (log (cos y))) x)) (sin y) (* (exp (log (cos y))) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))) (* (cos y) x) (log (cos y)))
5.0ms	z	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (exp (log (cos y))) (+ (* (sin y) z) (* (exp (log (cos y))) x)) (sin y) (* (exp (log (cos y))) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))) (* (cos y) x) (log (cos y)))
4.0ms	z	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (exp (log (cos y))) (+ (* (sin y) z) (* (exp (log (cos y))) x)) (sin y) (* (exp (log (cos y))) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))) (* (cos y) x) (log (cos y)))
3.0ms	x	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (pow (sqrt (* z (sin y))) 2) (+ (* x (cos y)) (* z (sin y))) (sqrt (* z (sin y))) (* z (sin y)) (exp (log (cos y))) (+ (* (sin y) z) (* (exp (log (cos y))) x)) (sin y) (* (exp (log (cos y))) x) (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (/ x (+ (* (neg z) (sin y)) (* (cos y) x))) (* (cos y) x) (log (cos y)))

simplify196.0ms (2%)

Memory

30.7MiB live, 268.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 968×	`lower-fma.f64`
8 968×	`lower-fma.f32`
7 266×	`lower-*.f64`
7 266×	`lower-*.f32`
3 080×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	749	7597
1	2519	7198
0	8332	6725

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 644

Calls

Call 1

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

rewrite271.0ms (2.8%)

Memory

13.2MiB live, 242.2MiB allocated

Rules

6 346×	`lower-fma.f32`
6 330×	`lower-fma.f64`
4 518×	`lower-*.f32`
4 504×	`lower-*.f64`
3 578×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	249
0	89	236
1	312	225
2	1871	225
0	8594	225

Stop Event

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

Counts

24 → 533

Calls

Call 1

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

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

eval285.0ms (2.9%)

Memory: 12.3MiB live, 243.1MiB allocated
Compiler: Compiled 30 429 to 2 897 computations (90.5% saved)

prune328.0ms (3.3%)

Memory

-54.1MiB live, 298.6MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 261	11	1 272
Fresh	1	15	16
Picked	3	2	5
Done	1	5	6
Total	1 266	33	1 299

Accuracy

100.0%

Counts

1 299 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.6%	(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	41.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (+.f64 (/.f64 (.f64 (fma.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (cos.f64 y)) x) z) (sin.f64 y)) z)))
	99.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #s(approx (neg (/ (pow (* (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	97.3%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) #s(approx (neg (/ (pow ( (sin y) z) 2) (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (sin.f64 y) z)))
	39.2%	(fma.f64 (sin.f64 y) (exp.f64 (log.f64 z)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	72.9%	(fma.f64 (sin.f64 y) z (*.f64 (exp.f64 (log.f64 (cos.f64 y))) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
✓	77.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	30.8%	(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 z (sin.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))))
	32.2%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)))
	41.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))
	39.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sin y) z) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	90.9%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	89.7%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	60.2%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (- (* (sin y) z) (* (cos y) x))) (*.f64 (cos.f64 y) x))
	50.4%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	27.8%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) x) y)) y x))
	44.5%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)) y z) y x))
	37.9%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/6 binary64))) y x))
	38.1%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	38.1%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64)) (neg.f64 x))))
	44.6%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) x) (neg.f64 z))))))
	3.2%	#s(approx (/ 1 (pow (+ (* (sin y) z) (* (cos y) x)) -1)) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
✓	51.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
✓	17.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	15.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z y) x) (*.f64 z y)))))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z y) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 (.f64 z z) y))) y))))
	9.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sqrt.f64 (.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
✓	41.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
	38.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* z y) x))) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	15.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))

Compiler

Compiled 1 415 to 602 computations (57.5% saved)

regimes128.0ms (1.3%)

Memory

25.0MiB live, 135.6MiB allocated

Counts

60 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	z
36.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	x
16.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes62.0ms (0.6%)

Memory

6.6MiB live, 78.6MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

Calls

4 calls:

21.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	y
9.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
87.0%	3	`x`
82.5%	2	`y`
89.1%	3	`z`
77.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes94.0ms (1%)

Memory

-13.3MiB live, 62.5MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))

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

#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Calls

4 calls:

48.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
60.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.3%	3	`y`
77.9%	3	`x`
76.2%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes69.0ms (0.7%)

Memory

11.3MiB live, 76.4MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

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

#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Calls

3 calls:

32.0ms	y
27.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
67.8%	3	`z`
67.8%	3	`x`
72.8%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes57.0ms (0.6%)

Memory

24.8MiB live, 63.8MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	x
8.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
51.6%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.6%	1	`x`
51.6%	1	`z`
51.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes26.0ms (0.3%)

Memory

-32.4MiB live, 14.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
15.7%	1	`z`
15.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
15.7%	1	`x`
15.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch38.0ms (0.4%)

Memory

2.9MiB live, 81.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.2212621064760486e-46	3.854044752509559e-42
17.0ms	-6.715018164763589e-38	-1.2491684499573664e-45

Samples

22.0ms

272×

valid

Compiler

Compiled 233 to 286 computations (-22.7% saved)

Precisions

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

ival-cos: 6.0ms (37.7% of total)

ival-sin: 5.0ms (31.4% of total)

ival-mult: 3.0ms (18.9% of total)

ival-add: 1.0ms (6.3% of total)

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

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

bsearch52.0ms (0.5%)

Memory

9.9MiB live, 113.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	25288.425443723245	34182366043.78238
19.0ms	-255831.69115899468	-1.862059547182996e-9

Samples

37.0ms

304×

valid

Compiler

Compiled 392 to 375 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 16.0ms (54.1% of total)

ival-sin: 7.0ms (23.7% of total)

ival-mult: 5.0ms (16.9% of total)

ival-add: 1.0ms (3.4% of total)

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

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

bsearch26.0ms (0.3%)

Memory

-24.7MiB live, 54.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	25288.425443723245	34182366043.78238
16.0ms	-255831.69115899468	-1.862059547182996e-9

Samples

10.0ms

144×

valid

Compiler

Compiled 392 to 375 computations (4.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (36.2% of total)

ival-add: 1.0ms (18.1% of total)

ival-cos: 1.0ms (18.1% of total)

ival-sin: 1.0ms (18.1% of total)

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

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

simplify63.0ms (0.6%)

Memory

-9.3MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	203
1	56	203

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 8474087342772019/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 25500 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness1.0s (10.6%)

Memory

21.2MiB live, 532.8MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 984×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554
0	578	5992
1	1993	5824
2	6859	5769
0	8244	5492
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Compiler

Compiled 222 to 121 computations (45.5% saved)

preprocess86.0ms (0.9%)

Memory: -18.7MiB live, 103.7MiB allocated
Compiler: Compiled 244 to 98 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (22.2%)

explain114.0ms (1.2%)

preprocess64.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize41.0ms (0.4%)

series10.0ms (0.1%)

simplify214.0ms (2.2%)

rewrite304.0ms (3.1%)

eval105.0ms (1.1%)

prune237.0ms (2.4%)

simplify150.0ms (1.5%)

localize96.0ms (1%)

series66.0ms (0.7%)

simplify198.0ms (2%)

rewrite334.0ms (3.4%)

eval484.0ms (4.9%)

prune223.0ms (2.3%)

simplify200.0ms (2%)

localize290.0ms (3%)

series54.0ms (0.5%)

simplify218.0ms (2.2%)

rewrite279.0ms (2.8%)

eval201.0ms (2%)

prune238.0ms (2.4%)

simplify179.0ms (1.8%)

localize232.0ms (2.4%)

series277.0ms (2.8%)

simplify196.0ms (2%)

rewrite271.0ms (2.8%)

eval285.0ms (2.9%)

prune328.0ms (3.3%)

regimes128.0ms (1.3%)

regimes62.0ms (0.6%)

regimes94.0ms (1%)

regimes69.0ms (0.7%)

regimes57.0ms (0.6%)

regimes26.0ms (0.3%)

bsearch38.0ms (0.4%)

bsearch52.0ms (0.5%)

bsearch26.0ms (0.3%)

simplify63.0ms (0.6%)

soundness1.0s (10.6%)

preprocess86.0ms (0.9%)

end0.0ms (0%)

Profiling