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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.4s (16.1%)

Memory

16.0MiB live, 1 910.3MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-sin: 241.0ms (34.1% of total)

ival-cos: 220.0ms (31.1% of total)

ival-mult: 192.0ms (27.1% of total)

ival-add: 44.0ms (6.2% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain115.0ms (1.3%)

Memory

-37.0MiB live, 193.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

62.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-cos: 24.0ms (54.1% of total)

ival-sin: 11.0ms (24.8% of total)

ival-mult: 7.0ms (15.8% of total)

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

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

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

preprocess45.0ms (0.5%)

Memory

15.5MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

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

prune0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

7.9MiB live, 46.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 y)
accuracy	0.01953125	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.11328125	(*.f64 x (sin.f64 y))
accuracy	0.1171875	(*.f64 z (cos.f64 y))

Samples

24.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 6.0ms (40.1% of total)

ival-cos: 5.0ms (33.5% of total)

ival-mult: 3.0ms (20.1% of total)

ival-add: 1.0ms (6.7% of total)

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

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

series18.0ms (0.2%)

Memory

-22.8MiB live, 19.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	z	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	z	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	y	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	y	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify191.0ms (2.1%)

Memory

2.9MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
4 718×	`lower-*.f64`
4 718×	`lower-*.f32`
2 178×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	344	678
2	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite221.0ms (2.5%)

Memory

3.6MiB live, 235.9MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval77.0ms (0.9%)

Memory: 4.0MiB live, 130.5MiB allocated
Compiler: Compiled 8 420 to 573 computations (93.2% saved)

prune21.0ms (0.2%)

Memory

29.6MiB live, 66.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	265	17	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	17	283

Accuracy

100.0%

Counts

283 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.3%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	48.7%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	68.3%	(fma.f64 x (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	60.6%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	61.0%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	79.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	21.0%	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))))))
	31.8%	(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))))
▶	60.9%	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
	42.8%	(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	55.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	55.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	56.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	40.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	61.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 754 to 450 computations (40.3% saved)

simplify131.0ms (1.5%)

Memory

-26.7MiB live, 208.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
cost-diff	128	(neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))))
cost-diff	41920	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
cost-diff	0	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
cost-diff	128	(neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))
cost-diff	128	(neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
cost-diff	27712	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

Rules

6 582×	`lower-fma.f32`
6 574×	`lower-fma.f64`
1 856×	`lower-*.f32`
1 848×	`lower-*.f64`
1 650×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	298
0	59	251
1	107	248
2	245	246
3	918	246
4	3712	246
5	5169	246
6	7429	246
0	8036	246

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.3%)

Memory

-1.6MiB live, 283.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.248378759768442	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	1.1077120854537894	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
accuracy	6.091149450724036	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy	18.969459388872803	(/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
accuracy	0.21550751953688405	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	1.9514975672590595	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy	24.85693729773243	(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
accuracy	0	(sin.f64 y)
accuracy	0.11328125	(*.f64 (sin.f64 y) x)
accuracy	38.35357242644912	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy	0	(fma.f64 y x z)
accuracy	27.618395039575304	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0.00390625	(cos.f64 y)
accuracy	0.0625	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.1171875	(*.f64 (cos.f64 y) z)

Samples

82.0ms

256×

valid

Compiler

Compiled 299 to 35 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 19.0ms (30.6% of total)

ival-neg: 9.0ms (14.5% of total)

ival-pow2: 7.0ms (11.3% of total)

ival-div: 6.0ms (9.7% of total)

ival-sin: 6.0ms (9.7% of total)

ival-cos: 6.0ms (9.7% of total)

ival-add: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.8%)

Memory

27.8MiB live, 139.5MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms	x	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
6.0ms	z	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms	y	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms	x	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* (pow (sin y) 2) x) (pow (sin y) 2) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x)))) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify316.0ms (3.5%)

Memory

-129.0MiB live, 375.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 192×	`lower-fma.f64`
10 192×	`lower-fma.f32`
7 072×	`lower-*.f64`
7 072×	`lower-*.f32`
3 046×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	756	7735
1	2628	7510
0	8483	7173

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 552

Calls

Call 1

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

rewrite483.0ms (5.4%)

Memory

-0.0MiB live, 398.6MiB allocated

Rules

7 204×	`lower-fma.f32`
7 196×	`lower-fma.f64`
4 218×	`lower-/.f32`
4 212×	`lower-/.f64`
3 486×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	212
0	59	164
1	228	161
2	1644	161
0	8400	161

Stop Event

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

Counts

19 → 1 334

Calls

Call 1

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

Outputs
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eval610.0ms (6.8%)

Memory: 14.8MiB live, 723.2MiB allocated
Compiler: Compiled 97 547 to 3 921 computations (96% saved)

prune182.0ms (2%)

Memory

17.2MiB live, 211.8MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	2 278	26	2 304
Fresh	9	3	12
Picked	2	3	5
Done	0	0	0
Total	2 289	32	2 321

Accuracy

100.0%

Counts

2 321 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
	59.5%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))))
	48.7%	(fma.f64 (.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	45.4%	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
	76.8%	(fma.f64 (sin.f64 y) x (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	79.9%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	68.2%	(fma.f64 x (.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))))
	61.0%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
	36.7%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	36.7%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	35.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	89.7%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
	93.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
▶	61.5%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	55.7%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	55.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
✓	56.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	18.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
▶	56.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
✓	40.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	17.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y)) x))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
	54.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
	46.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	54.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
▶	17.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
	27.5%	#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))

Compiler

Compiled 978 to 710 computations (27.4% saved)

simplify338.0ms (3.8%)

Memory

-4.1MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

20 528×	`lower-fma.f32`
20 520×	`lower-fma.f64`
3 064×	`lower-*.f32`
3 056×	`lower-*.f64`
2 144×	`lower-+.f64`

Iterations

Useful iterations: 21 (0.0ms)

Iter	Nodes	Cost
0	49	286
0	74	277
1	112	269
2	186	269
3	453	269
4	1157	269
5	2356	269
6	3372	261
7	3670	261
8	3821	261
9	3858	261
10	3869	261
11	4547	261
12	4874	261
13	4922	261
14	5082	261
15	5134	261
16	5134	261
17	5161	261
18	5161	261
19	5169	259
20	5357	259
21	6710	242
0	8251	242

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (2.5%)

Memory

-28.2MiB live, 212.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.248378759768442	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	1.1077120854537894	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
accuracy	6.091149450724036	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy	36.458223339095824	#s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.1171875	(*.f64 (cos.f64 y) z)
accuracy	24.560055499809575	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
accuracy	0	(fma.f64 x y z)
accuracy	0.13671875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
accuracy	0.6211897556206449	(/.f64 #s(literal 1 binary64) (fma.f64 x y z))
accuracy	27.618395039575304	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
accuracy	0	(*.f64 y x)
accuracy	27.618395039575304	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy	33.49993775980794	#s(approx (+ (* y x) z) (*.f64 y x))
accuracy	0.078125	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.11328125	(*.f64 (sin.f64 y) x)
accuracy	0.17578125	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))

Samples

148.0ms

256×

valid

Compiler

Compiled 266 to 35 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sin: 19.0ms (29.8% of total)

ival-mult: 13.0ms (20.4% of total)

ival-div: 8.0ms (12.5% of total)

ival-add: 6.0ms (9.4% of total)

ival-cos: 6.0ms (9.4% of total)

ival-pow2: 5.0ms (7.8% of total)

ival-pow: 4.0ms (6.3% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (1.1%)

Memory

29.6MiB live, 104.3MiB allocated

Counts

19 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	y	@	-inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
8.0ms	z	@	inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
5.0ms	y	@	inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
3.0ms	x	@	-inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))
2.0ms	x	@	inf	((/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (pow (+ (* (cos y) z) (* (sin y) x)) -1) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))

simplify488.0ms (5.5%)

Memory

-23.7MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 648×	`lower-fma.f64`
7 648×	`lower-fma.f32`
6 630×	`lower-*.f64`
6 630×	`lower-*.f32`
3 074×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	6903
1	2394	6521
0	8200	6184

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 544

Calls

Call 1

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

rewrite203.0ms (2.3%)

Memory

32.4MiB live, 380.1MiB allocated

Rules

5 668×	`lower-fma.f32`
5 660×	`lower-fma.f64`
4 260×	`lower-/.f32`
4 252×	`lower-/.f64`
4 080×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	217
0	74	204
1	253	171
2	1513	171
0	8333	171

Stop Event

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

Counts

19 → 1 121

Calls

Call 1

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

Outputs
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eval310.0ms (3.5%)

Memory: 17.8MiB live, 533.7MiB allocated
Compiler: Compiled 65 918 to 3 933 computations (94% saved)

prune75.0ms (0.8%)

Memory

-7.6MiB live, 229.6MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 734	23	1 757
Fresh	14	10	24
Picked	3	2	5
Done	0	3	3
Total	1 751	38	1 789

Accuracy

100.0%

Counts

1 789 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (neg.f64 #s(approx (/ (pow ( (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
	73.7%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
	64.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow ( (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	61.0%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	35.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	39.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
	61.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
	36.7%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	36.7%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	55.4%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	93.9%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	89.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
▶	35.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	28.7%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
▶	51.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
✓	61.5%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	40.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) (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))) z))
	40.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.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))) z))
	40.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64))) z))
▶	42.5%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	40.0%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) y) y (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
✓	56.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	18.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
▶	17.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
	12.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 (.f64 y y) x))) x))))
	17.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
	41.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z))))
✓	40.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	17.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y)) x))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
	46.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
	54.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
✓	17.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))

Compiler

Compiled 1 022 to 818 computations (20% saved)

simplify139.0ms (1.6%)

Memory

-13.6MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z)
cost-diff	0	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
cost-diff	320	(*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z)
cost-diff	0	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
cost-diff	192	(-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z)
cost-diff	2304	(-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z))
cost-diff	0	#s(approx (+ (* x y) z) (*.f64 y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x))))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff	0	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Rules

8 400×	`lower-fma.f32`
8 392×	`lower-fma.f64`
2 952×	`lower-*.f32`
2 940×	`lower-*.f64`
2 116×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	398
0	83	377
1	142	314
2	268	300
3	745	300
4	2155	298
5	6749	298
0	8127	287

Stop Event

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

Calls

Call 1

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

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

localize329.0ms (3.7%)

Memory

-8.7MiB live, 585.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.037441259768442016	(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
accuracy	0.07421875	(.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z)
accuracy	13.66992374655514	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 (exp.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64))) z))
accuracy	16.085069836378302	(log.f64 (cos.f64 y))
accuracy	0.0234375	(fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z)
accuracy	5.034530239212096	(/.f64 (*.f64 x x) z)
accuracy	13.19528451186861	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
accuracy	21.25712472492142	(-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z))
accuracy	0.09765625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x))))
accuracy	0.1213311732679516	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))
accuracy	12.050916022823671	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
accuracy	29.28949578175682	#s(approx (+ (* x y) z) (*.f64 y x))
accuracy	0.07421875	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	10.744184252707916	#s(approx (cos y) #s(literal 1 binary64))
accuracy	13.66992374655514	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.0234375	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy	0.05078125	(/.f64 (sin.f64 y) z)
accuracy	0.8140966015618422	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Samples

172.0ms	91×	2	valid
53.0ms	61×	1	valid
34.0ms	34×	0	valid
26.0ms	59×	0	invalid
5.0ms	11×	1	exit

Compiler

Compiled 330 to 52 computations (84.2% saved)

Precisions

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

ival-mult: 47.0ms (21.5% of total)

ival-div: 28.0ms (12.8% of total)

ival-log: 25.0ms (11.4% of total)

adjust: 24.0ms (11% of total)

ival-cos: 22.0ms (10.1% of total)

ival-exp: 21.0ms (9.6% of total)

ival-add: 17.0ms (7.8% of total)

ival-sin: 11.0ms (5% of total)

ival-pow: 9.0ms (4.1% of total)

ival-pow2: 8.0ms (3.7% of total)

ival-sub: 4.0ms (1.8% of total)

ival-neg: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series108.0ms (1.2%)

Memory

17.1MiB live, 251.9MiB allocated

Counts

22 → 600

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (exp (* (log (cos y)) 1)) (* (log (cos y)) 1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (exp (* (log (cos y)) 1)) z) (cos y) (/ (* x x) z) (log (cos y)))
19.0ms	y	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (exp (* (log (cos y)) 1)) (* (log (cos y)) 1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (exp (* (log (cos y)) 1)) z) (cos y) (/ (* x x) z) (log (cos y)))
7.0ms	z	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (exp (* (log (cos y)) 1)) (* (log (cos y)) 1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (exp (* (log (cos y)) 1)) z) (cos y) (/ (* x x) z) (log (cos y)))
5.0ms	x	@	inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (exp (* (log (cos y)) 1)) (* (log (cos y)) 1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (exp (* (log (cos y)) 1)) z) (cos y) (/ (* x x) z) (log (cos y)))
3.0ms	z	@	0	((* (+ (* (/ (sin y) z) x) (cos y)) z) (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (cos y) z) (cos y) (/ 1 (/ 1 (+ (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (/ 1 (+ (* x y) z)) (+ (* x y) z) (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (exp (* (log (cos y)) 1)) (* (log (cos y)) 1) (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (* (exp (* (log (cos y)) 1)) z) (cos y) (/ (* x x) z) (log (cos y)))

simplify155.0ms (1.7%)

Memory

13.9MiB live, 289.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 542×	`lower-fma.f64`
7 542×	`lower-fma.f32`
5 236×	`lower-*.f64`
5 236×	`lower-*.f32`
2 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	5902
1	1501	5721
2	4606	5669
0	8323	5311

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 583

Calls

Call 1

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

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

rewrite177.0ms (2%)

Memory

-10.1MiB live, 241.0MiB allocated

Rules

4 280×	`lower-/.f32`
4 272×	`lower-/.f64`
3 998×	`lower-fma.f32`
3 990×	`lower-fma.f64`
3 920×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	346
0	83	327
1	337	194
2	2562	194
0	8397	181

Stop Event

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

Counts

22 → 387

Calls

Call 1

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

Outputs
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eval149.0ms (1.7%)

Memory: -22.4MiB live, 287.9MiB allocated
Compiler: Compiled 19 185 to 2 535 computations (86.8% saved)

prune145.0ms (1.6%)

Memory

9.4MiB live, 176.5MiB allocated

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	1 032	14	1 046
Fresh	5	23	28
Picked	2	3	5
Done	0	5	5
Total	1 039	45	1 084

Accuracy

100.0%

Counts

1 084 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (neg.f64 #s(approx (/ (pow ( (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
	73.7%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
	64.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow ( (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	61.0%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	35.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	39.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
	61.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) z)))
	36.7%	(.f64 (neg.f64 #s(approx (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	36.7%	(.f64 #s(approx (neg (- (pow ( (cos y) z) 2) (pow (* (sin y) x) 2))) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)))))
	55.4%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
	74.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x #s(approx (cos y) #s(literal 1 binary64))) z))
	89.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	88.2%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (*.f64 (fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (cos.f64 y)) z))
	88.2%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (.f64 (fma.f64 (sin.f64 y) (.f64 (pow.f64 z #s(literal -1 binary64)) x) (cos.f64 y)) z))
	54.8%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
	34.1%	#s(approx (/ 1 (pow (+ (* (cos y) z) (* (sin y) x)) -1)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
✓	35.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (.f64 x x) z)) (/.f64 (.f64 x x) z)) z) y x) y z))
	28.7%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	51.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (pow.f64 (E.f64) (log.f64 (cos.f64 y))) z))
	51.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (exp.f64 (log.f64 (cos.f64 y))) z))
✓	61.5%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (cos.f64 y) z))
	40.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (exp ( (log (cos y)) 1)) (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))) z))
	40.3%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (exp ( (log (cos y)) 1)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
	40.1%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (exp ( (log (cos y)) 1)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))
✓	42.5%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	50.9%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (.f64 (+.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z) x) y) x)))
	9.4%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (.f64 (+.f64 (/.f64 x y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y))))
	2.8%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (+ (* (+ (* (- (- (+ (* 1/2 z) (/ (* x x) z)) (/ (* x x) z)) z) y) x) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))
	40.0%	#s(approx (+ (* (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) y) y (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
✓	56.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	18.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
✓	17.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x y) z) (*.f64 y x)))))
	12.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 (.f64 y y) x))) x))))
	17.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 (.f64 y x) x))) y))))
	41.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x y) z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z)) z))))
✓	40.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	17.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (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 y y) #s(literal 1 binary64)) y)) x))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x))
	46.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
✓	17.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	17.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))

Compiler

Compiled 1 881 to 844 computations (55.1% saved)

regimes189.0ms (2.1%)

Memory

-11.7MiB live, 146.7MiB allocated

Counts

81 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	z
50.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
41.0ms	y
21.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes190.0ms (2.1%)

Memory

12.3MiB live, 90.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

90.0ms	x
73.0ms	z
13.0ms	y
13.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
89.4%	3	`x`
86.9%	5	`y`
90.4%	3	`z`
82.4%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes158.0ms (1.8%)

Memory

5.6MiB live, 86.0MiB allocated

Counts

40 → 6

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	x
66.0ms	y
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
11.0ms	z

Results

Accuracy	Segments	Branch
86.5%	6	`y`
65.5%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
75.1%	3	`x`
78.8%	4	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes26.0ms (0.3%)

Memory

-14.7MiB live, 63.0MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

12.0ms	z
12.0ms	y

Results

Accuracy	Segments	Branch
71.6%	3	`z`
76.9%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes47.0ms (0.5%)

Memory

29.0MiB live, 108.8MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	z
11.0ms	x
10.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	y

Results

Accuracy	Segments	Branch
56.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
56.8%	1	`z`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

-20.3MiB live, 19.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`y`
47.2%	3	`z`
48.2%	3	`x`
42.5%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
17.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
17.7%	1	`y`
17.7%	1	`z`
17.7%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch36.0ms (0.4%)

Memory

-6.7MiB live, 72.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.371790088271186e+138	2.4095991109253083e+141
17.0ms	-16603477433143338.0	-518296472973.5304

Samples

23.0ms

256×

valid

Compiler

Compiled 220 to 270 computations (-22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (41.6% of total)

ival-cos: 5.0ms (29.7% of total)

ival-mult: 3.0ms (17.8% of total)

ival-add: 1.0ms (5.9% of total)

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

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

bsearch114.0ms (1.3%)

Memory

2.1MiB live, 206.5MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	2.0170455398311277e+251	1.1272647330191695e+255
25.0ms	2.0746509674684727e+116	1.3201988879505599e+126
11.0ms	2.3496296489487567e-5	0.005637458655620159
19.0ms	-29.73994535175865	-5.698499936789726e-26
32.0ms	-3.618207716341635e+195	-1.6564441183546479e+189

Samples

80.0ms

720×

valid

Compiler

Compiled 642 to 734 computations (-14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-cos: 26.0ms (42.8% of total)

ival-sin: 20.0ms (32.9% of total)

ival-mult: 11.0ms (18.1% of total)

ival-add: 3.0ms (4.9% of total)

ival-true: 1.0ms (1.6% of total)

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

bsearch26.0ms (0.3%)

Memory

-16.8MiB live, 61.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.2867663204374495	11133974.239838857
1.0ms	-29.73994535175865	-5.698499936789726e-26

Samples

17.0ms

144×

valid

Compiler

Compiled 412 to 394 computations (4.4% saved)

Precisions

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

ival-sin: 6.0ms (44.4% of total)

ival-cos: 5.0ms (37% of total)

ival-mult: 2.0ms (14.8% of total)

ival-add: 1.0ms (7.4% of total)

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

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

bsearch36.0ms (0.4%)

Memory

-0.9MiB live, 80.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.058236542069523e+240	1.7705906307627926e+245
17.0ms	-8.202958115552965e+150	-2.747975242827916e+148

Samples

23.0ms

256×

valid

Compiler

Compiled 172 to 254 computations (-47.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (42% of total)

ival-cos: 5.0ms (30% of total)

ival-mult: 3.0ms (18% of total)

ival-add: 1.0ms (6% of total)

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

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

simplify26.0ms (0.3%)

Memory

-2.6MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	352
1	87	352

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -7000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 5099999999999999836963984299820823526876110072048499732910456991779000092859421140071511091545736892093537254542401997655501289722799456256 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -50999999999999999933181076224929433602973063696572002790177844808598973226087043872695014904197133215617771517176184896371076080056716393234608662917766110914621350531051997130342022707725467648 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) (if (<=.f64 y #s(literal 2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1799999999999999934283668822550910364039916801784325623102434698729186101701766253556941771947760462875201085346897302544245800654003946980916128723827669460525258757897269568936712666813881006611938919698888493572787711769397147031496768022539625562112 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -3799999999999999890833329240481678916711665658914984696064358244219677412299468656277969015071744211148715293323290542636028642545283038326556737929216 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 1649999999999999971560354870981191080001584075031100566913731651145787072726018151400508249678381085573045789505706792263604077285341294573260977764198530694667622050695700453004704830183794174566124746896364039367052327210958088149373816930304 binary64)) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -7000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 5099999999999999836963984299820823526876110072048499732910456991779000092859421140071511091545736892093537254542401997655501289722799456256 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -7000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 5099999999999999836963984299820823526876110072048499732910456991779000092859421140071511091545736892093537254542401997655501289722799456256 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -50999999999999999933181076224929433602973063696572002790177844808598973226087043872695014904197133215617771517176184896371076080056716393234608662917766110914621350531051997130342022707725467648 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) (if (<=.f64 y #s(literal 2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1799999999999999934283668822550910364039916801784325623102434698729186101701766253556941771947760462875201085346897302544245800654003946980916128723827669460525258757897269568936712666813881006611938919698888493572787711769397147031496768022539625562112 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))))
(if (<=.f64 y #s(literal -50999999999999999933181076224929433602973063696572002790177844808598973226087043872695014904197133215617771517176184896371076080056716393234608662917766110914621350531051997130342022707725467648 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) (if (<=.f64 y #s(literal 2250000000000000008761677593904253712133426417660931840843950635250826770511453055426781136916345678589306007675994112 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 1799999999999999934283668822550910364039916801784325623102434698729186101701766253556941771947760462875201085346897302544245800654003946980916128723827669460525258757897269568936712666813881006611938919698888493572787711769397147031496768022539625562112 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))))))
(if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -1152921504606847/36028797018963968 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 3715469692580659/1125899906842624 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -3799999999999999890833329240481678916711665658914984696064358244219677412299468656277969015071744211148715293323290542636028642545283038326556737929216 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 1649999999999999971560354870981191080001584075031100566913731651145787072726018151400508249678381085573045789505706792263604077285341294573260977764198530694667622050695700453004704830183794174566124746896364039367052327210958088149373816930304 binary64)) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
(if (<=.f64 x #s(literal -3799999999999999890833329240481678916711665658914984696064358244219677412299468656277969015071744211148715293323290542636028642545283038326556737929216 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 1649999999999999971560354870981191080001584075031100566913731651145787072726018151400508249678381085573045789505706792263604077285341294573260977764198530694667622050695700453004704830183794174566124746896364039367052327210958088149373816930304 binary64)) #s(approx (+ ( (* (pow (sin y) 2) x) (/ x (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness941.0ms (10.6%)

Memory

16.3MiB live, 772.8MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
10 192×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	712	6903
1	2394	6521
0	8200	6184
0	756	7735
1	2628	7510
0	8483	7173
0	109	682
1	344	678
2	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606

Stop Event

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

Compiler

Compiled 290 to 164 computations (43.4% saved)

preprocess103.0ms (1.2%)

Memory: 12.0MiB live, 130.6MiB allocated
Compiler: Compiled 338 to 132 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (16.1%)

explain115.0ms (1.3%)

preprocess45.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize32.0ms (0.4%)

series18.0ms (0.2%)

simplify191.0ms (2.1%)

rewrite221.0ms (2.5%)

eval77.0ms (0.9%)

prune21.0ms (0.2%)

simplify131.0ms (1.5%)

localize119.0ms (1.3%)

series72.0ms (0.8%)

simplify316.0ms (3.5%)

rewrite483.0ms (5.4%)

eval610.0ms (6.8%)

prune182.0ms (2%)

simplify338.0ms (3.8%)

localize223.0ms (2.5%)

series98.0ms (1.1%)

simplify488.0ms (5.5%)

rewrite203.0ms (2.3%)

eval310.0ms (3.5%)

prune75.0ms (0.8%)

simplify139.0ms (1.6%)

localize329.0ms (3.7%)

series108.0ms (1.2%)

simplify155.0ms (1.7%)

rewrite177.0ms (2%)

eval149.0ms (1.7%)

prune145.0ms (1.6%)

regimes189.0ms (2.1%)

regimes190.0ms (2.1%)

regimes158.0ms (1.8%)

regimes26.0ms (0.3%)

regimes47.0ms (0.5%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch36.0ms (0.4%)

bsearch114.0ms (1.3%)

bsearch26.0ms (0.3%)

bsearch36.0ms (0.4%)

simplify26.0ms (0.3%)

soundness941.0ms (10.6%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling