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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (21%)

Memory

-5.6MiB live, 2 183.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 887.0ms

ival-sin: 329.0ms (37.1% of total)

ival-cos: 299.0ms (33.7% of total)

ival-mult: 178.0ms (20.1% of total)

ival-sub: 71.0ms (8% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain135.0ms (1.8%)

Memory

15.3MiB live, 207.3MiB 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

59.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 14.0ms (38.3% of total)

ival-sin: 13.0ms (35.6% of total)

ival-mult: 7.0ms (19.1% of total)

ival-sub: 2.0ms (5.5% of total)

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

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

preprocess64.0ms (0.8%)

Memory

-1.0MiB live, 75.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	169	84
3	375	84
4	665	84
5	872	84
6	1052	84
7	1105	84
8	1113	84
9	1117	84
0	8	9
0	13	9
1	20	9
2	32	9
3	44	9
4	65	9
5	95	9
6	153	9
7	223	9
8	282	9
9	311	9
10	327	9
0	327	9

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify11.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

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 (neg.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)

localize38.0ms (0.5%)

Memory

2.1MiB live, 117.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.010097509768442016	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	0.11328125	(*.f64 x (cos.f64 y))

Samples

32.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-cos: 8.0ms (37.5% of total)

ival-sin: 8.0ms (37.5% of total)

ival-mult: 4.0ms (18.8% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

series82.0ms (1.1%)

Memory

-18.6MiB live, 30.2MiB allocated

Counts

5 → 108

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>) () ())
#s(alt (sin.f64 y) (patch (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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (* 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 (* -1 (* 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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)) (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 (* -1 (* 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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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)) (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 (* -1 (* 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 (- (* -1/2 (* 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 (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (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 (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (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 (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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) (* -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) (* -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) (* -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>) () ())) ())
#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)) (/ (* 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)) (/ (* 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)) (/ (* 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
72.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify210.0ms (2.7%)

Memory

20.6MiB live, 124.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2667	663
4	4606	663
5	7371	663
0	8245	636

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite322.0ms (4.2%)

Memory

-60.4MiB live, 255.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21

Stop Event

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

Counts

5 → 232

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))
(sin.f64 y)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval78.0ms (1%)

Memory: -1.2MiB live, 83.8MiB allocated
Compiler: Compiled 12 880 to 748 computations (94.2% saved)

prune18.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	322	15	337
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	16	338

Accuracy

99.9%

Counts

338 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
▶	67.4%	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	79.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
▶	52.5%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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)))
	38.8%	(/.f64 (-.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	53.4%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	16.0%	(.f64 (/.f64 (-.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 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (-.f64 (.f64 (fma.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))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))
	53.2%	(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	50.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	51.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	39.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	62.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 727 to 396 computations (45.5% saved)

simplify192.0ms (2.5%)

Memory

-1.7MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	40064	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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)))
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff	14208	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	237
0	55	205
1	88	205
2	191	205
3	650	205
4	4511	205
5	7649	205
0	8062	205

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (2.4%)

Memory

-5.1MiB live, 115.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.7765900829569582	(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))
accuracy	3.2460834291510294	(-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy	29.0472675410627	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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)))
accuracy	0.11328125	(*.f64 (cos.f64 y) x)
accuracy	0.2109375	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy	20.66992415235819	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy	0	(cos.f64 y)
accuracy	0.11328125	(*.f64 (cos.f64 y) x)
accuracy	24.138988419255064	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	30.98707373484467	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.07421875	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.109375	(*.f64 (neg.f64 z) (sin.f64 y))

Samples

130.0ms

256×

valid

Compiler

Compiled 452 to 62 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-sub: 36.0ms (42.7% of total)

ival-mult: 11.0ms (13% of total)

ival-cos: 8.0ms (9.5% of total)

ival-pow: 7.0ms (8.3% of total)

ival-sin: 6.0ms (7.1% of total)

ival-pow2: 5.0ms (5.9% of total)

ival-add: 4.0ms (4.7% of total)

ival-div: 3.0ms (3.6% of total)

ival-neg: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (1.2%)

Memory

2.5MiB live, 76.1MiB allocated

Counts

20 → 564

Calls

Call 1

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

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (sin.f64 y)) (patch (.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (sin.f64 y)) (patch (.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (sin.f64 y)) (patch (.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (sin.f64 y)) (patch (.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 z y)) (patch (-.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 z y)) (patch (-.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 z y)) (patch (-.f64 x (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (.f64 z y)) (patch (-.f64 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 (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (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>) () ())) ())
#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 (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) (patch (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) (patch (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) (patch (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) (patch (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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))) #<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 (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (pow (cos y) 2)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (pow x 2) (pow (cos y) 2))) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2)) (taylor -inf x) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	y	@	0	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (/ 1 (+ 0 (* (sin y) z))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1))
6.0ms	z	@	0	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (/ 1 (+ 0 (* (sin y) z))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1))
5.0ms	y	@	inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (/ 1 (+ 0 (* (sin y) z))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1))
5.0ms	y	@	-inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (/ 1 (+ 0 (* (sin y) z))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1))
4.0ms	z	@	inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (pow (+ (* (sin y) z) (* (cos y) x)) -1) (+ (* (sin y) z) (* (cos y) x)) (sin y) (/ 1 (+ 0 (* (sin y) z))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1))

simplify232.0ms (3%)

Memory

-17.3MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	595	6579
1	1910	6455
2	6694	6411
0	8508	6224

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 552

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (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))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* 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)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* (pow x 2) (pow (cos y) 2))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 2)))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(+ (/ 1 (* (pow x 2) (pow (cos y) 2))) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 4) (pow (cos y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 4)) (* (pow x 6) (pow (cos y) 6))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (sin y) 6)) (* (pow x 8) (pow (cos y) 8))) (* -1 (/ (pow (sin y) 4) (* (pow x 6) (pow (cos y) 6)))))) (* -1 (/ (pow (sin y) 2) (* (pow x 4) (pow (cos y) 4)))))) (/ 1 (* (pow x 2) (pow (cos y) 2))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (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))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (* 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)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* -1 (* (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))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* z (sin y)))
(* -1 (/ (- (/ (* 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)))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(* -1 (* (pow z 2) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2)) (pow (sin y) 2)))
(/ -1 (* (pow z 2) (pow (sin y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4)))) (/ 1 (pow (sin y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))) (+ (/ 1 (pow (sin y) 2)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (cos y) 6)) (* (pow z 6) (pow (sin y) 8)))) (+ (/ 1 (pow (sin y) 2)) (+ (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 4))) (/ (* (pow x 4) (pow (cos y) 4)) (* (pow z 4) (pow (sin y) 6)))))) (pow z 2))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))))))
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(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
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(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (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)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (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)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(/.f64 (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))) (neg.f64 x))
(* -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))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(* -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))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (/.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 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (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)
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(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* (pow x 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x)
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(.f64 (fma.f64 (.f64 (neg.f64 z) (/.f64 z x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(.f64 (fma.f64 (.f64 (neg.f64 z) (/.f64 z x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (pow (cos y) 2)))
(.f64 (fma.f64 (.f64 (neg.f64 z) (/.f64 z x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(/ 1 (* (pow x 2) (pow (cos y) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))
(/ (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 x x))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x x))
(/ (- (+ (/ 1 (pow (cos y) 2)) (/ (* (pow z 6) (pow (sin y) 6)) (* (pow x 6) (pow (cos y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 4)))) (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 4) (pow (cos y) 6)))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (.f64 x x))

rewrite126.0ms (1.7%)

Memory

28.6MiB live, 186.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	180
0	55	148
1	220	148
0	1557	148

Stop Event

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

Counts

20 → 590

Calls

Call 1

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

Outputs
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eval241.0ms (3.1%)

Memory: -15.9MiB live, 416.6MiB allocated
Compiler: Compiled 33 336 to 2 370 computations (92.9% saved)

prune53.0ms (0.7%)

Memory

-2.5MiB live, 160.0MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 403	19	1 422
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	1 411	27	1 438

Accuracy

100.0%

Counts

1 438 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	47.0%	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	64.7%	(fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	79.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	32.1%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))
	53.4%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	53.2%	(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	91.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	85.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
	39.8%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	50.8%	#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 (neg.f64 z)) y x))
	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
▶	29.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
✓	51.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	30.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
✓	62.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
▶	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	44.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
	47.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 791 to 574 computations (27.4% saved)

simplify132.0ms (1.7%)

Memory

5.1MiB live, 197.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
cost-diff	5824	(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))
cost-diff	8320	(.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
cost-diff	256	(-.f64 x (*.f64 (neg.f64 z) y))
cost-diff	256	(.f64 (.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) y))
cost-diff	256	(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y)))
cost-diff	1792	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y)))
cost-diff	0	(fma.f64 (/.f64 z x) y #s(literal -1 binary64))
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
cost-diff	1024	(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))
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	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	280
0	62	242
1	119	238
2	257	228
3	770	226
4	1632	226
5	3713	210
6	6234	210
0	8269	208

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.4%)

Memory

12.8MiB live, 176.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))
accuracy	0.0546875	(*.f64 x (cos.f64 y))
accuracy	0.28125	(.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
accuracy	13.272305592413069	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
accuracy	0.08203125	(.f64 (.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) y))
accuracy	3.199202236641647	(-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y)))
accuracy	15.572863921366416	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
accuracy	17.02494545413548	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y)))
accuracy	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x)))
accuracy	1.6744616731864121	(fma.f64 (/.f64 z x) y #s(literal -1 binary64))
accuracy	1.7240868663442135	(*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))
accuracy	15.572863921366416	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
accuracy	0.0546875	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	13.272305592413069	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	14.579173334324155	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0234375	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy	0.0546875	(*.f64 x (cos.f64 y))
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))

Samples

48.0ms	132×	0	valid
32.0ms	124×	0	invalid

Compiler

Compiled 443 to 66 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 18.0ms (35.8% of total)

ival-div: 7.0ms (13.9% of total)

ival-sin: 7.0ms (13.9% of total)

ival-cos: 6.0ms (11.9% of total)

ival-sub: 5.0ms (9.9% of total)

ival-sqrt: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory

-6.6MiB live, 124.7MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* (/ z x) y) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (/ z x) y) -1) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (* (* (neg z) y) (* (neg z) y)) (- x (* (neg z) y)) (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (pow (* x (cos y)) 1/2) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (- (* x (cos y)) (* z (sin y))))
4.0ms	x	@	0	((/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* (/ z x) y) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (/ z x) y) -1) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (* (* (neg z) y) (* (neg z) y)) (- x (* (neg z) y)) (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (pow (* x (cos y)) 1/2) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (- (* x (cos y)) (* z (sin y))))
4.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* (/ z x) y) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (/ z x) y) -1) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (* (* (neg z) y) (* (neg z) y)) (- x (* (neg z) y)) (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (pow (* x (cos y)) 1/2) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (- (* x (cos y)) (* z (sin y))))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* (/ z x) y) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (/ z x) y) -1) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (* (* (neg z) y) (* (neg z) y)) (- x (* (neg z) y)) (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (pow (* x (cos y)) 1/2) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (- (* x (cos y)) (* z (sin y))))
3.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* (/ z x) y) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* (/ z x) y) -1) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (* (* (neg z) y) (* (neg z) y)) (- x (* (neg z) y)) (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (pow (* x (cos y)) 1/2) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (- (* x (cos y)) (* z (sin y))))

simplify215.0ms (2.8%)

Memory

1.8MiB live, 242.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	5212
1	1274	5103
2	4249	5078
0	8132	4944

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 586

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(/ (* y z) x)
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y z)
(* z (- (/ x z) (* -1 y)))
(* z (- (/ x z) (* -1 y)))
(* z (- (/ x z) (* -1 y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(/ (* y z) x)
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y z)
(* -1 (* z (- (* -1 (/ x z)) y)))
(* -1 (* z (- (* -1 (/ x z)) y)))
(* -1 (* z (- (* -1 (/ x z)) y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
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 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(pow x 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* 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))))))
(sqrt x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 1/24 x) (* 1/16 x))))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/4 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/720 x) (* -1/4 (- (* 1/24 x) (* 1/16 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 1/24 x) (* 1/16 x)))))))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ 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
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(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)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 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))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(/ (* y z) x)
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y z)
(* y (- (/ x y) (* -1 z)))
(* y (- (/ x y) (* -1 z)))
(* y (- (/ x y) (* -1 z)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* 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)))
(* 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 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(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)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ 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 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(/ (* y z) x)
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow z 2)))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* y z)
(* -1 (* y (- (* -1 (/ x y)) z)))
(* -1 (* y (- (* -1 (/ x y)) z)))
(* -1 (* y (- (* -1 (/ x y)) z)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* 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)))
(* 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 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* 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))
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
(/ (* y z) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* (pow y 2) (pow z 2)))
(- (pow x 2) (* (pow y 2) (pow z 2)))
(- (pow x 2) (* (pow y 2) (pow z 2)))
(- (pow x 2) (* (pow y 2) (pow z 2)))
(* y z)
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(- x (* -1 (* y z)))
(- x (* -1 (* y z)))
(* x (cos y))
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(* x (cos y))
(* x (cos y))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* x (cos y))
(* x (cos y))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(* x (cos y))
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(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
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(* x (cos y))
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x
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x
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(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
x
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(* x (+ 1 (/ (* y z) x)))
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(* x (cos y))
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(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
(sqrt (* x (cos y)))
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(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
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(/ 1 (* x (cos y)))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
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(* -1 (* x (- (/ (* y z) x) 1)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
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(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2)))))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))

Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
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(-.f64 x (*.f64 z y))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
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(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
-1
#s(literal -1 binary64)
(- (/ (* y z) x) 1)
(fma.f64 (/.f64 z x) y #s(literal -1 binary64))
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(- (/ (* y z) x) 1)
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(+ x (* -1 (* y z)))
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(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(.f64 (fma.f64 z y x) (-.f64 x (.f64 z y)))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(.f64 (fma.f64 z y x) (-.f64 x (.f64 z y)))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow x 2))
(.f64 (fma.f64 z y x) (-.f64 x (.f64 z y)))
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
(* (pow y 2) (pow z 2))
(.f64 (.f64 (*.f64 z z) y) y)
x
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(+ x (* y z))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (/.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
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(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (- (/ x z) y))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (- (/ x z) y))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (- (/ x z) y))
(*.f64 (-.f64 (/.f64 x z) y) z)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
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(fma.f64 (/.f64 z x) y #s(literal -1 binary64))
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(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* z (+ (* -1 y) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) y) z)
(* -1 (* (pow y 2) (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) (neg.f64 y))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(.f64 (.f64 (+.f64 (/.f64 x z) y) (-.f64 (/.f64 x z) y)) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(.f64 (.f64 (+.f64 (/.f64 x z) y) (-.f64 (/.f64 x z) y)) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (pow y 2)))
(.f64 (.f64 (+.f64 (/.f64 x z) y) (-.f64 (/.f64 x z) y)) (*.f64 z z))
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(pow x 2)
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rewrite272.0ms (3.5%)

Memory

-7.0MiB live, 227.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	240
0	62	204
1	225	178
2	1499	178
0	8449	177

Stop Event

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

Counts

20 → 906

Calls

Call 1

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

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eval668.0ms (8.7%)

Memory: 25.3MiB live, 295.8MiB allocated
Compiler: Compiled 38 587 to 3 625 computations (90.6% saved)

prune184.0ms (2.4%)

Memory

-1.1MiB live, 166.7MiB allocated

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1 620	26	1 646
Fresh	6	12	18
Picked	3	2	5
Done	0	4	4
Total	1 629	44	1 673

Accuracy

100.0%

Counts

1 673 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	64.7%	(fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	79.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	51.0%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	32.1%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))
	53.4%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	51.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	50.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
▶	51.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (cos.f64 y) x))))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	35.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
	39.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	39.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	53.2%	(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
▶	91.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	85.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
	39.8%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	50.8%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	50.6%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	89.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
▶	30.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	30.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
	16.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
	10.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
	26.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
▶	12.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
	6.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 z z) y) (neg.f64 y))) (-.f64 x (.f64 (neg.f64 z) y))))
	22.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
✓	51.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
✓	62.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
✓	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	31.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fabs.f64 (*.f64 (cos.f64 y) x)))
	47.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (-.f64 (/.f64 x z) y) z)))
▶	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
✓	44.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
	48.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 219 to 935 computations (23.3% saved)

simplify113.0ms (1.5%)

Memory

-15.0MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y)))
cost-diff	0	(/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
cost-diff	256	(-.f64 x (*.f64 (neg.f64 z) y))
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
cost-diff	0	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	417
0	90	395
1	155	395
2	341	373
3	1155	355
4	3151	349
5	7064	349
0	8114	343

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (2.1%)

Memory

13.3MiB live, 305.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64))
accuracy	0.0546875	(*.f64 (cos.f64 y) x)
accuracy	0.48261279305326077	(pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	13.272305592413069	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
accuracy	0.053066259768442016	(*.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z))
accuracy	8.726512710691441	(.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))
accuracy	15.572863921366416	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
accuracy	17.02494545413548	(/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y)))
accuracy	0	(*.f64 z y)
accuracy	0.1015625	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y))))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
accuracy	15.572863921366416	#s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	15.572863921366416	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
accuracy	16.60972831221828	#s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.05078125	(/.f64 (cos.f64 y) z)
accuracy	0.06640625	(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
accuracy	2.8794426831357867	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)

Samples

74.0ms	132×	0	valid
56.0ms	124×	0	invalid

Compiler

Compiled 536 to 85 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-div: 24.0ms (23.1% of total)

ival-pow: 24.0ms (23.1% of total)

ival-mult: 21.0ms (20.2% of total)

ival-sin: 7.0ms (6.7% of total)

ival-sub: 7.0ms (6.7% of total)

ival-cos: 7.0ms (6.7% of total)

ival-add: 6.0ms (5.8% of total)

ival-pow2: 5.0ms (4.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

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

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

series190.0ms (2.5%)

Memory

-22.6MiB live, 493.2MiB allocated

Counts

24 → 744

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	x	@	0	((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (* (neg z) y) (neg z) (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (- x (* z y)) (- x (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- (* x (cos y)) (* z (sin y))) (pow (pow (* (cos y) x) 1/4) 4) (pow (* (cos y) x) 1/4) (* (cos y) x) (sin y) (* z y) (* (* (+ (/ x y) z) (- (/ x y) z)) (* y y)) (* (+ (/ x y) z) (- (/ x y) z)))
41.0ms	y	@	inf	((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (* (neg z) y) (neg z) (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (- x (* z y)) (- x (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- (* x (cos y)) (* z (sin y))) (pow (pow (* (cos y) x) 1/4) 4) (pow (* (cos y) x) 1/4) (* (cos y) x) (sin y) (* z y) (* (* (+ (/ x y) z) (- (/ x y) z)) (* y y)) (* (+ (/ x y) z) (- (/ x y) z)))
27.0ms	x	@	-inf	((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (* (neg z) y) (neg z) (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (- x (* z y)) (- x (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- (* x (cos y)) (* z (sin y))) (pow (pow (* (cos y) x) 1/4) 4) (pow (* (cos y) x) 1/4) (* (cos y) x) (sin y) (* z y) (* (* (+ (/ x y) z) (- (/ x y) z)) (* y y)) (* (+ (/ x y) z) (- (/ x y) z)))
21.0ms	y	@	-inf	((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (* (neg z) y) (neg z) (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (- x (* z y)) (- x (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- (* x (cos y)) (* z (sin y))) (pow (pow (* (cos y) x) 1/4) 4) (pow (* (cos y) x) 1/4) (* (cos y) x) (sin y) (* z y) (* (* (+ (/ x y) z) (- (/ x y) z)) (* y y)) (* (+ (/ x y) z) (- (/ x y) z)))
12.0ms	x	@	inf	((* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (+ (* (/ (cos y) z) x) (neg (sin y))) (/ (cos y) z) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (* (neg z) y) (neg z) (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (+ (* (sin y) (neg z)) (* x (cos y))) (- x (* z y)) (- x (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- (* x (cos y)) (* z (sin y))) (pow (pow (* (cos y) x) 1/4) 4) (pow (* (cos y) x) 1/4) (* (cos y) x) (sin y) (* z y) (* (* (+ (/ x y) z) (- (/ x y) z)) (* y y)) (* (+ (/ x y) z) (- (/ x y) z)))

simplify158.0ms (2.1%)

Memory

12.1MiB live, 329.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	6888
1	1852	6617
2	6775	6530
0	8269	6384

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 718

Calls

Call 1

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

rewrite181.0ms (2.4%)

Memory

-6.9MiB live, 395.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	372
0	90	339
1	362	284
2	2380	284
0	8211	281

Stop Event

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

Counts

24 → 521

Calls

Call 1

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

Outputs
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eval159.0ms (2.1%)

Memory: 38.4MiB live, 381.2MiB allocated
Compiler: Compiled 24 890 to 3 021 computations (87.9% saved)

prune103.0ms (1.4%)

Memory

-23.2MiB live, 187.2MiB allocated

Pruning

51 alts after pruning (41 fresh and 10 done)

	Pruned	Kept	Total
New	1 282	20	1 302
Fresh	12	21	33
Picked	1	4	5
Done	0	6	6
Total	1 295	51	1 346

Accuracy

100.0%

Counts

1 346 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	79.4%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	51.0%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	32.1%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))
	50.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
✓	51.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
	62.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (cos.f64 y) x))))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
	39.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	39.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	39.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	53.2%	(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
	85.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
✓	91.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	91.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
	75.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 z (cos.f64 y)) (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) x)) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 z (cos.f64 y)))) z))
	69.2%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
	69.3%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) z))
	39.8%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	47.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
	53.7%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
	36.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
	91.1%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z))
	50.8%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))
	50.6%	#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
	89.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
✓	30.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	30.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
	16.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
	10.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
	26.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
	12.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))) (fma.f64 z y x)))
	12.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (.f64 (fma.f64 (neg.f64 y) z x) (/.f64 (fma.f64 z y x) (fma.f64 (neg.f64 y) z x)))))
	6.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 (neg.f64 z) z) y) y)) (-.f64 x (.f64 (neg.f64 z) y))))
	12.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 #s(approx ( (+ (/ x y) z) (- (/ x y) z)) (neg.f64 (fma.f64 z z (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y)))) (.f64 y y))) (-.f64 x (*.f64 (neg.f64 z) y))))
	22.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
✓	51.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
✓	62.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
✓	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	31.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fabs.f64 (*.f64 (cos.f64 y) x)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	48.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
	9.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
✓	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
✓	44.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 2 123 to 940 computations (55.7% saved)

regimes118.0ms (1.5%)

Memory

3.2MiB live, 113.0MiB allocated

Counts

81 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 z z) y) (neg.f64 y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 (neg.f64 z) z) y) y)) (-.f64 x (.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 #s(approx ( (+ (/ x y) z) (- (/ x y) z)) (neg.f64 (fma.f64 z z (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y)))) (.f64 y y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (.f64 (fma.f64 (neg.f64 y) z x) (/.f64 (fma.f64 z y x) (fma.f64 (neg.f64 y) z x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fabs.f64 (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) #s(literal 2 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z x) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (fma.f64 (/.f64 (neg.f64 z) x) (sin.f64 y) (cos.f64 y)) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (cos y) x) 2) (pow (* (sin y) z) 2)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
(.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) (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 z (cos.f64 y)) (.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) x)) (*.f64 (+.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 z (cos.f64 y)))) z))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (.f64 #s(literal 1 binary64) (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) z))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.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 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.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 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(.f64 (/.f64 (-.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 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)) (-.f64 (.f64 (fma.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))) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64))))

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

Calls

4 calls:

33.0ms	y
30.0ms	x
29.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	z

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)

regimes76.0ms (1%)

Memory

3.4MiB live, 73.9MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 z z) y) (neg.f64 y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 (neg.f64 z) z) y) y)) (-.f64 x (.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 #s(approx ( (+ (/ x y) z) (- (/ x y) z)) (neg.f64 (fma.f64 z z (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y)))) (.f64 y y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (.f64 (fma.f64 (neg.f64 y) z x) (/.f64 (fma.f64 z y x) (fma.f64 (neg.f64 y) z x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fabs.f64 (*.f64 (cos.f64 y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))

Outputs

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

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

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

Calls

4 calls:

23.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	y
14.0ms	x
14.0ms	z

Results

Accuracy	Segments	Branch
69.9%	5	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
76.2%	3	`x`
78.6%	4	`y`
78.3%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes50.0ms (0.7%)

Memory

-2.3MiB live, 87.2MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 z z) y) (neg.f64 y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 (neg.f64 z) z) y) y)) (-.f64 x (.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 #s(approx ( (+ (/ x y) z) (- (/ x y) z)) (neg.f64 (fma.f64 z z (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y)))) (.f64 y y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (.f64 (fma.f64 (neg.f64 y) z x) (/.f64 (fma.f64 z y x) (fma.f64 (neg.f64 y) z x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fabs.f64 (*.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 (-.f64 (*.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:

19.0ms	y
16.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
70.7%	3	`x`
75.3%	3	`y`
69.3%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes82.0ms (1.1%)

Memory

20.5MiB live, 142.9MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 x x)) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (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))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) #s(approx (* (+ (* (/ (cos y) z) x) (neg (sin y))) z) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 z z) y) (neg.f64 y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (.f64 (neg.f64 z) z) y) y)) (-.f64 x (.f64 (neg.f64 z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) #s(approx (- x (* (neg z) y)) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (pow (* x (cos y)) 1/2) (pow (* x (cos y)) 1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 y x) y) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (pow (pow (* (cos y) x) 1/4) 4) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 z) (.f64 (neg.f64 z) (.f64 y y)))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (/ (pow (+ (* (sin y) z) (* (cos y) x)) -1) (pow (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) -1)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal -1 binary64)) y (/.f64 x z))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (*.f64 y y))) (fma.f64 z y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (-.f64 x (.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 #s(approx ( (+ (/ x y) z) (- (/ x y) z)) (neg.f64 (fma.f64 z z (/.f64 (/.f64 (.f64 (neg.f64 x) x) y) y)))) (.f64 y y))) (-.f64 x (*.f64 (neg.f64 z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 z) y) (.f64 (neg.f64 z) y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) (* (* (neg z) y) (* (neg z) y))) (.f64 (.f64 (+.f64 (/.f64 x y) z) (-.f64 (/.f64 x y) z)) (.f64 y y))) (.f64 (fma.f64 (neg.f64 y) z x) (/.f64 (fma.f64 z y x) (fma.f64 (neg.f64 y) z x)))))

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

Calls

4 calls:

24.0ms	z
21.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	x
15.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes16.0ms (0.2%)

Memory

-20.2MiB live, 18.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (- (* x x) (* (* (neg z) y) (* (neg z) y))) (- x (* (neg z) y))) (*.f64 (neg.f64 z) y)))

Outputs

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

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

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

Calls

4 calls:

3.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
3.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
44.4%	3	`x`
41.8%	2	`z`
39.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
39.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
39.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
39.9%	1	`z`
39.9%	1	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

bsearch42.0ms (0.6%)

Memory

9.7MiB live, 47.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8521076666712945e+28	8.143392418001232e+39
19.0ms	-3.1222949967912037e+87	-4.1811983888030686e+85

Samples

29.0ms

272×

valid

Compiler

Compiled 199 to 269 computations (-35.2% saved)

Precisions

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

ival-cos: 7.0ms (37.5% of total)

ival-sin: 6.0ms (32.1% of total)

ival-mult: 4.0ms (21.4% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

bsearch64.0ms (0.8%)

Memory

-28.0MiB live, 99.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	11.867861188495237	3.7801591361772784e+21
27.0ms	-2.283537648367221e+19	-0.3490896894611242

Samples

47.0ms

352×

valid

Compiler

Compiled 474 to 454 computations (4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 11.0ms (38% of total)

ival-sin: 11.0ms (38% of total)

ival-mult: 5.0ms (17.3% of total)

ival-sub: 2.0ms (6.9% of total)

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

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

bsearch60.0ms (0.8%)

Memory

9.6MiB live, 87.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	3.2619146223995e-104	3.2257684394442493e-100
26.0ms	-6.439596537316368e-195	-7.751106646515291e-202

Samples

38.0ms

272×

valid

Compiler

Compiled 199 to 286 computations (-43.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 10.0ms (35.6% of total)

ival-sin: 10.0ms (35.6% of total)

ival-mult: 6.0ms (21.4% of total)

ival-sub: 2.0ms (7.1% of total)

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

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

simplify29.0ms (0.4%)

Memory

-22.6MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	213
1	77	213
2	94	213
3	103	213
4	109	213
5	111	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -489999999999999993365547969449560210305809339499630074144301341372427108158014178197504 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 7599999999999999602235955404915615989760 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 12 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -92463326394405/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5487280990934681/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -489999999999999993365547969449560210305809339499630074144301341372427108158014178197504 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 7599999999999999602235955404915615989760 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 12 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.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))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -92463326394405/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5487280990934681/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 z) y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

soundness613.0ms (8%)

Memory

29.9MiB live, 410.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2667	663
4	4606	663
5	7371	663
0	8245	636
0	595	6579
1	1910	6455
2	6694	6411
0	8508	6224

Stop Event

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

Compiler

Compiled 157 to 110 computations (29.9% saved)

preprocess102.0ms (1.3%)

Memory: -11.3MiB live, 114.2MiB allocated
Compiler: Compiled 224 to 112 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (21%)

explain135.0ms (1.8%)

preprocess64.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize38.0ms (0.5%)

series82.0ms (1.1%)

simplify210.0ms (2.7%)

rewrite322.0ms (4.2%)

eval78.0ms (1%)

prune18.0ms (0.2%)

simplify192.0ms (2.5%)

localize185.0ms (2.4%)

series95.0ms (1.2%)

simplify232.0ms (3%)

rewrite126.0ms (1.7%)

eval241.0ms (3.1%)

prune53.0ms (0.7%)

simplify132.0ms (1.7%)

localize106.0ms (1.4%)

series65.0ms (0.8%)

simplify215.0ms (2.8%)

rewrite272.0ms (3.5%)

eval668.0ms (8.7%)

prune184.0ms (2.4%)

simplify113.0ms (1.5%)

localize160.0ms (2.1%)

series190.0ms (2.5%)

simplify158.0ms (2.1%)

rewrite181.0ms (2.4%)

eval159.0ms (2.1%)

prune103.0ms (1.4%)

regimes118.0ms (1.5%)

regimes76.0ms (1%)

regimes50.0ms (0.7%)

regimes82.0ms (1.1%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch42.0ms (0.6%)

bsearch64.0ms (0.8%)

bsearch60.0ms (0.8%)

simplify29.0ms (0.4%)

soundness613.0ms (8%)

preprocess102.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24