Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB 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)

sample1.2s (16.4%)

Memory

3.6MiB live, 1 120.4MiB allocated

Samples

901.0ms	8 254×	0	valid
1.0ms	1×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 661.0ms

ival-sin: 326.0ms (49.3% of total)

ival-cos: 175.0ms (26.5% of total)

ival-add: 84.0ms (12.7% of total)

ival-mult: 65.0ms (9.8% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain168.0ms (2.3%)

Memory

1.0MiB live, 79.7MiB 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

90.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 45.0ms (61% of total)

ival-sin: 12.0ms (16.3% of total)

ival-cos: 11.0ms (14.9% of total)

ival-add: 5.0ms (6.8% of total)

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

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

preprocess74.0ms (1%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	92	82
2	234	81
3	588	81
4	1029	81
5	1414	81
6	1696	81
7	1888	81
8	1995	81
9	2055	81
10	2069	81
0	8	9
0	13	9
1	18	9
2	25	9
3	27	9
0	27	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	18	24
2	25	24
3	27	24
0	27	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)

localize68.0ms (0.9%)

Memory

-3.6MiB live, 33.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 x (sin.f64 y))
accuracy	0.13671875	(*.f64 z (cos.f64 y))

Samples

61.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 41.0ms (81.4% of total)

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

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

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

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

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

series10.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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 z) (/ (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 z) (/ (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 z) (/ (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 (+ x 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.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 (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (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 (+ (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) (* 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 (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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt 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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (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
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	z	@	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))

simplify190.0ms (2.6%)

Memory

-20.5MiB live, 99.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	846	633
3	2177	631
4	4214	631
5	7324	631
0	8046	578

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

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

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

rewrite246.0ms (3.3%)

Memory

-4.7MiB live, 77.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20

Stop Event

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

Counts

5 → 172

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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval54.0ms (0.7%)

Memory: -1.9MiB live, 73.2MiB allocated
Compiler: Compiled 5 953 to 603 computations (89.9% saved)

prune39.0ms (0.5%)

Memory

4.2MiB live, 43.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	259	14	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	14	274

Accuracy

100.0%

Counts

274 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 (sin.f64 y) (.f64 (cos.f64 y) z)) #s(literal -1 binary64)) x)
▶	99.9%	(fma.f64 (cos.f64 y) z (+.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)))
	83.0%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	64.2%	(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
	49.4%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #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)))) (fma.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	64.2%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64)))
▶	48.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
	52.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
	63.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
	56.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
	59.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
▶	61.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	41.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 368 to 268 computations (27.2% saved)

simplify32.0ms (0.4%)

Memory

-6.5MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	178
0	47	172
1	72	172
2	103	172
3	237	172
4	511	172
5	732	172
6	780	172
7	867	172
8	867	172
0	867	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize121.0ms (1.6%)

Memory

33.7MiB live, 108.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (sin.f64 y) x)
accuracy	0.03125	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
accuracy	0.10546875	(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
accuracy	0	(+.f64 y x)
accuracy	0	(cos.f64 y)
accuracy	0.13671875	(*.f64 z (cos.f64 y))
accuracy	27.475769741982074	#s(approx (+ x (sin y)) (+.f64 y x))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
accuracy	0.16796875	(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
accuracy	33.15920049710284	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
accuracy	0	(+.f64 z x)
accuracy	24.585513584363113	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (sin.f64 y) x)
accuracy	0.03125	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))

Samples

104.0ms

256×

valid

Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 25.0ms (43.6% of total)

ival-mult: 9.0ms (15.7% of total)

ival-sin: 6.0ms (10.5% of total)

ival-cos: 6.0ms (10.5% of total)

const: 4.0ms (7% of total)

ival-pow: 4.0ms (7% of total)

ival-div: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory

-17.2MiB live, 67.1MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

9 calls:

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

simplify236.0ms (3.2%)

Memory

-14.3MiB live, 182.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	401	4590
1	1195	4489
2	3764	4360
0	8230	4014

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 412

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

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

rewrite161.0ms (2.2%)

Memory

10.4MiB live, 289.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	135
0	47	129
1	207	129
2	1621	129
0	8200	128

Stop Event

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

Counts

16 → 485

Calls

Call 1

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

Outputs
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eval219.0ms (3%)

Memory: 34.0MiB live, 382.0MiB allocated
Compiler: Compiled 26 686 to 2 265 computations (91.5% saved)

prune74.0ms (1%)

Memory

-15.9MiB live, 145.0MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 133	22	1 155
Fresh	8	1	9
Picked	3	2	5
Done	0	0	0
Total	1 144	25	1 169

Accuracy

100.0%

Counts

1 169 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (cos.f64 y) z (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
▶	64.3%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	63.9%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
▶	83.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
	47.7%	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	63.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
	41.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
	61.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	47.6%	(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (.f64 z #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)))))
	49.4%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #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)))) (fma.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	52.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
▶	56.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
	59.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
	41.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
▶	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
	22.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x)))
	50.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
	43.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	35.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
▶	35.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
✓	61.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	24.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) z)))
	55.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)))

Compiler

Compiled 634 to 482 computations (24% saved)

simplify184.0ms (2.5%)

Memory

15.4MiB live, 207.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (+ (sin y) x) (+.f64 y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
cost-diff	0	(-.f64 z x)
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
cost-diff	704	(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
cost-diff	0	#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
cost-diff	0	(+.f64 z y)
cost-diff	0	(+.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(+.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	229
0	65	219
1	108	215
2	180	201
3	445	199
4	1034	199
5	4838	199
0	8406	192

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.8%)

Memory

-33.1MiB live, 296.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(cos.f64 y)
accuracy	0.03125	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
accuracy	27.475769741982074	#s(approx (+ (sin y) x) (+.f64 y x))
accuracy	0	(*.f64 (+.f64 x z) (-.f64 z x))
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))
accuracy	24.585513584363113	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
accuracy	26.30530776796493	(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))
accuracy	0.34765625	(*.f64 #s(literal -1/6 binary64) y)
accuracy	28.099910223046884	#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y))
accuracy	33.15920049710284	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
accuracy	0	(+.f64 (+.f64 z y) x)
accuracy	0	(+.f64 z y)
accuracy	27.98922634919736	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x))
accuracy	0	(sin.f64 y)
accuracy	0.00390625	(+.f64 (sin.f64 y) x)
accuracy	0.03125	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
accuracy	31.882099706055	#s(approx (cos y) #s(literal 1 binary64))

Samples

87.0ms

256×

valid

Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions

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

ival-add: 13.0ms (21.5% of total)

ival-mult: 13.0ms (21.5% of total)

ival-cos: 10.0ms (16.5% of total)

ival-sin: 6.0ms (9.9% of total)

const: 6.0ms (9.9% of total)

ival-pow: 6.0ms (9.9% of total)

ival-div: 5.0ms (8.3% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

12.6MiB live, 92.1MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

Calls

9 calls:

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

simplify205.0ms (2.8%)

Memory

-16.0MiB live, 346.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	4641
1	1245	4453
2	3659	4302
0	8581	3946

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 494

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

rewrite194.0ms (2.6%)

Memory

37.0MiB live, 386.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	205
0	65	203
1	297	175
2	2568	175
0	8999	168

Stop Event

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

Counts

21 → 559

Calls

Call 1

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

Outputs
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eval184.0ms (2.5%)

Memory: -0.4MiB live, 361.0MiB allocated
Compiler: Compiled 24 069 to 2 725 computations (88.7% saved)

prune68.0ms (0.9%)

Memory

-31.7MiB live, 210.0MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 074	24	1 098
Fresh	5	13	18
Picked	3	2	5
Done	0	2	2
Total	1 082	41	1 123

Accuracy

100.0%

Counts

1 123 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
✓	64.3%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	63.9%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
	47.6%	(fma.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 (+ (sin y) x) (+.f64 y x)))
▶	83.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
	47.5%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y)))
	47.7%	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	63.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
	41.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	49.4%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #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)))) (fma.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	55.5%	(.f64 (-.f64 (pow.f64 (.f64 z #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) x) (sin.f64 y)) #s(literal -1 binary64)))
	52.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
▶	59.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
	47.1%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x))
	53.9%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x))
	41.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
	30.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y)))
▶	33.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
✓	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
▶	22.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x)))
	50.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
	43.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	35.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (-.f64 z x)))
	32.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (.f64 (-.f64 z x) (+.f64 x z)))) (.f64 (+.f64 x z) (-.f64 z x)))))
	26.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 z (-.f64 z x)) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) x)) (+.f64 x z)) (.f64 (+.f64 x z) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) x)))))
	17.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (.f64 (-.f64 z x) (+.f64 x z))) (.f64 (.f64 (neg.f64 (-.f64 z x)) (+.f64 x z)) x)) (.f64 (.f64 (neg.f64 (-.f64 z x)) (+.f64 x z)) (*.f64 (-.f64 z x) (+.f64 x z))))))
	18.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (.f64 (.f64 (-.f64 z x) (+.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 (+.f64 x z) (-.f64 x z))))))
	32.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (.f64 (+.f64 x z) #s(approx (- z x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
	20.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
	25.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 x z) #s(literal 1 binary64)) z) z)))))
	28.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (.f64 (.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x)))))
	20.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
	17.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
	23.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) (.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (+.f64 x z)))))
	20.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
	38.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
▶	26.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
✓	61.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	55.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (fma.f64 (/.f64 z x) x x)))
	24.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) z)))

Compiler

Compiled 1 201 to 844 computations (29.7% saved)

simplify159.0ms (2.1%)

Memory

25.5MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(+.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
cost-diff	0	#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x)))
cost-diff	1536	(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (+ (+ z y) x) (+.f64 y x))
cost-diff	0	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
cost-diff	0	#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
cost-diff	896	(fma.f64 (/.f64 (sin.f64 y) x) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	329
0	75	332
1	126	324
2	205	302
3	381	294
4	687	294
5	1624	282
6	4081	282
7	6799	282
0	8101	264

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (2.4%)

Memory

-18.0MiB live, 349.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0.00390625	(+.f64 (sin.f64 y) x)
accuracy	25.942857639724977	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
accuracy	0.0546875	(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x))
accuracy	0.06640625	(/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)
accuracy	16.568468156783553	(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))
accuracy	33.15920049710284	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 #s(literal -1 binary64) y)) y)) (.f64 y y))) y (+.f64 z x)))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))
accuracy	24.585513584363113	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
accuracy	28.955253181334317	#s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))
accuracy	0	(+.f64 y x)
accuracy	19.849852469300984	#s(approx (+ (+ z y) x) (+.f64 y x))
accuracy	27.98922634919736	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
accuracy	0.03125	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
accuracy	0.09375	(/.f64 (sin.f64 y) x)
accuracy	0.1015625	(fma.f64 (/.f64 (sin.f64 y) x) x x)
accuracy	31.882099706055	#s(approx (cos y) #s(literal 1 binary64))

Samples

142.0ms

256×

valid

Compiler

Compiled 211 to 47 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 39.0ms (41.4% of total)

ival-add: 18.0ms (19.1% of total)

ival-div: 11.0ms (11.7% of total)

ival-cos: 7.0ms (7.4% of total)

ival-sin: 6.0ms (6.4% of total)

const: 6.0ms (6.4% of total)

ival-pow: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series42.0ms (0.6%)

Memory

7.4MiB live, 127.7MiB allocated

Counts

20 → 528

Calls

Call 1

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

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

Calls

9 calls:

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

simplify196.0ms (2.6%)

Memory

11.4MiB live, 368.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	4815
1	1121	4684
2	3241	4417
0	8237	4052

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 488

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 y)
(+ x (+ y z))
(+ x (+ y z))
(+ x (+ y z))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(+ x z)
(+ x z)
(+ x z)
(/ 1 x)
(+ (* -1 (/ z (pow x 2))) (/ 1 x))
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))
(+ (* -1/2 (* y z)) (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(/ -1 (pow y 2))
(- (* 1/2 (/ z y)) (/ 1 (pow y 2)))
(- (* 1/2 (/ z y)) (/ 1 (pow y 2)))
(- (* 1/2 (/ z y)) (/ 1 (pow y 2)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(/ 1 z)
(/ (+ 1 (* -1 (/ x z))) z)
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z)))
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z)))
(* z (+ (* -1/2 y) (/ (* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) z)))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* 1/2 (/ z y))
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* (pow y 2) z))))
(* z (- (* 1/2 (/ 1 y)) (/ 1 (* (pow y 2) z))))
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(* -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)))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
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(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
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x
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1
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x
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x
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y
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ -1 (pow y 2))
(/ (- (* 1/2 (* y z)) 1) (pow y 2))
(/ (- (* 1/2 (* y z)) 1) (pow y 2))
(/ (- (* 1/2 (* y z)) 1) (pow y 2))
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(+ x (sin y))
(+ 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) (* z (cos y))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (sin y))
(+ x (sin y))
(+ 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) (* z (cos y))))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (+ (/ x y) (/ z y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(+ 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)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* 1/2 (/ z y))
(/ (- (* 1/2 z) (/ 1 y)) y)
(/ (- (* 1/2 z) (/ 1 y)) y)
(/ (- (* 1/2 z) (/ 1 y)) y)
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(+ x (sin y))
(+ 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) (* z (cos y))))
(cos y)
(cos y)
(cos y)
(cos y)
(+ x (sin y))
(+ x (sin y))
(+ 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) (* z (cos y))))
y
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* -1/6 (pow y 2))
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(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(+ 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)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* 1/2 (/ z y))
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))
(* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(+ (sin y) (* z (cos y)))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
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(+ x (sin y))
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y
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(+ (sin y) (* z (cos y)))
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(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(sin y)
(+ x (sin y))
(+ x (sin y))
(+ x (sin y))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
(* x (+ 1 (/ (sin y) x)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
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(* x (+ 1 (+ (/ y x) (/ z x))))
x
(* x (+ 1 (/ y x)))
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x
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x
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(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
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(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
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(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
x
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x
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
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x
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x
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
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(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(/ 1 x)
(* -1 (/ (- (/ z x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)

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

rewrite171.0ms (2.3%)

Memory

-11.4MiB live, 339.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	286
0	75	282
1	366	260
2	3097	257
0	8858	244

Stop Event

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

Counts

20 → 208

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval149.0ms (2%)

Memory: 16.5MiB live, 267.5MiB allocated
Compiler: Compiled 10 792 to 1 396 computations (87.1% saved)

prune53.0ms (0.7%)

Memory

-9.0MiB live, 153.8MiB allocated

Pruning

42 alts after pruning (34 fresh and 8 done)

	Pruned	Kept	Total
New	706	2	708
Fresh	0	32	32
Picked	1	4	5
Done	0	4	4
Total	707	42	749

Accuracy

100.0%

Counts

749 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
✓	64.3%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	63.9%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
	47.6%	(fma.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 (+ (sin y) x) (+.f64 y x)))
✓	83.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)))
	47.5%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (sin.f64 y)))
	47.7%	(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	63.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
	41.5%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)))
	38.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	49.4%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #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)))) (fma.f64 (.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	55.5%	(.f64 (-.f64 (pow.f64 (.f64 z #s(approx (cos y) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 z #s(approx (cos y) #s(literal 1 binary64))) x) (sin.f64 y)) #s(literal -1 binary64)))
	52.7%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
✓	59.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (sin.f64 y) x))
	47.1%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y)) x))
	53.9%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x))
	41.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z))
	30.5%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y)))
✓	33.3%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))
	24.0%	#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y)))
✓	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
	33.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (-.f64 #s(literal -1/6 binary64) #s(approx (/ (+ ( 1/2 z) (/ -1 y)) y) (.f64 (/.f64 z y) #s(literal 1/2 binary64)))) (.f64 y y))) y (+.f64 z x)))
	50.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
	43.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	35.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (-.f64 z x)))
	32.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (.f64 (-.f64 z x) (+.f64 x z)))) (.f64 (+.f64 x z) (-.f64 z x)))))
	26.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 z (-.f64 z x)) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) x)) (+.f64 x z)) (.f64 (+.f64 x z) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) x)))))
	17.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (.f64 (-.f64 z x) (+.f64 x z))) (.f64 (.f64 (neg.f64 (-.f64 z x)) (+.f64 x z)) x)) (.f64 (.f64 (neg.f64 (-.f64 z x)) (+.f64 x z)) (*.f64 (-.f64 z x) (+.f64 x z))))))
	18.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (/.f64 (.f64 (.f64 (-.f64 z x) (+.f64 x z)) (.f64 (+.f64 x z) (-.f64 x z))) (.f64 (+.f64 x z) (-.f64 x z))))))
	32.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (.f64 (+.f64 x z) #s(approx (- z x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z))))))
	20.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x))))))
	25.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (.f64 (.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 x z) #s(literal 1 binary64)) z) z)))))
	28.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (.f64 (.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x)))))
	20.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x)))))
	17.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z)))))
	23.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 z x) (+.f64 x z)) (.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (+.f64 x z)))))
	20.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x)))))
	38.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x))))
✓	26.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z))))
✓	61.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	55.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (fma.f64 (/.f64 z x) x x)))
	24.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) z)))

Compiler

Compiled 1 498 to 716 computations (52.2% saved)

regimes79.0ms (1.1%)

Memory

-15.6MiB live, 181.6MiB allocated

Counts

63 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms	y
19.0ms	x
18.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes72.0ms (1%)

Memory

30.8MiB live, 148.0MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

19.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
18.0ms	y
18.0ms	x
15.0ms	z

Results

Accuracy	Segments	Branch
92.4%	3	`x`
84.6%	2	`y`
93.9%	4	`z`
88.3%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes58.0ms (0.8%)

Memory

-4.9MiB live, 70.9MiB allocated

Counts

51 → 4

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	z
14.0ms	x

Results

Accuracy	Segments	Branch
93.9%	4	`z`
83.0%	1	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes47.0ms (0.6%)

Memory

-15.1MiB live, 35.4MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

45.0ms

Results

Accuracy	Segments	Branch
92.3%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes63.0ms (0.8%)

Memory

12.1MiB live, 123.9MiB allocated

Counts

45 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	x
16.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms	z
13.0ms	y

Results

Accuracy	Segments	Branch
80.1%	3	`x`
81.6%	3	`y`
83.0%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
85.1%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.4%)

Memory

3.5MiB live, 47.9MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

16.0ms	z
12.0ms	y

Results

Accuracy	Segments	Branch
81.6%	3	`y`
77.0%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes64.0ms (0.9%)

Memory

-11.1MiB live, 64.8MiB allocated

Counts

40 → 5

Calls

Call 1

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

Outputs
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))

Calls

3 calls:

35.0ms	x
15.0ms	y
12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
82.7%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
68.1%	4	`x`
71.5%	5	`y`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes64.0ms (0.9%)

Memory

0.9MiB live, 83.1MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

24.0ms	z
16.0ms	x
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
11.0ms	y

Results

Accuracy	Segments	Branch
66.1%	3	`x`
66.5%	3	`y`
61.6%	1	`z`
66.4%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-23.6MiB live, 14.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x)))

#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y)))

Outputs

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

#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y)))

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

Calls

3 calls:

4.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
65.2%	3	`x`
61.6%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
61.6%	1	`y`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Accuracy

Total -21.2b remaining (-86.2%)

Threshold costs -21.2b (-86.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
61.6%	1	`y`
61.6%	1	`z`
61.6%	1	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch48.0ms (0.6%)

Memory

9.4MiB live, 83.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.164565425595567e-74	1.4929749790560865e-67
24.0ms	-1.1590596735254032e+27	-1.653952413096883e+22

Samples

29.0ms	287×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 246 to 293 computations (-19.1% saved)

Precisions

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

ival-sin: 8.0ms (42.1% of total)

ival-cos: 6.0ms (31.6% of total)

ival-add: 3.0ms (15.8% of total)

ival-mult: 2.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch62.0ms (0.8%)

Memory

-20.2MiB live, 100.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	3.36968885104456e+179	1.0453547559418114e+183
18.0ms	1.10463956481144e+21	9.411639239584722e+22
21.0ms	-1.2325300545711593e+70	-8.443340896981704e+66

Samples

41.0ms

368×

valid

Compiler

Compiled 311 to 374 computations (-20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 9.0ms (32.8% of total)

ival-cos: 8.0ms (29.2% of total)

ival-mult: 7.0ms (25.5% of total)

ival-add: 3.0ms (10.9% of total)

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

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

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.10463956481144e+21	9.411639239584722e+22
1.0ms	-1.2325300545711593e+70	-8.443340896981704e+66

Compiler

Compiled 207 to 254 computations (-22.7% saved)

bsearch48.0ms (0.6%)

Memory

1.4MiB live, 82.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	173564307.6975123	534967285504.9575
21.0ms	-2.1596906098569322e+21	-66079166769363.57

Samples

32.0ms

272×

valid

Compiler

Compiled 182 to 252 computations (-38.5% saved)

Precisions

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

ival-sin: 6.0ms (36.9% of total)

ival-cos: 5.0ms (30.7% of total)

ival-add: 2.0ms (12.3% of total)

ival-mult: 2.0ms (12.3% of total)

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

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

bsearch44.0ms (0.6%)

Memory

13.6MiB live, 131.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	18593633292506.18	7622082989239919.0
20.0ms	-4.375438631586346e+33	-3.928997092536477e+30

Samples

31.0ms

256×

valid

Compiler

Compiled 284 to 302 computations (-6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 11.0ms (46.2% of total)

ival-cos: 7.0ms (29.4% of total)

ival-add: 3.0ms (12.6% of total)

ival-mult: 2.0ms (8.4% of total)

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

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

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.3834485495586675	3.817357323275356
0.0ms	5.261957867461079e-11	2.7821000630756304e-9
0.0ms	-0.05252079389966317	-2.365828632399431e-8
0.0ms	-2.518313960458068e+20	-0.956117377398859

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch38.0ms (0.5%)

Memory

1.6MiB live, 86.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	875732879838254500.0	1.1557063186694078e+20
18.0ms	-6.3703573697651726e+35	-4.375438631586346e+33

Samples

26.0ms

224×

valid

Compiler

Compiled 236 to 252 computations (-6.8% saved)

Precisions

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

ival-sin: 8.0ms (43.2% of total)

ival-cos: 7.0ms (37.8% of total)

ival-add: 2.0ms (10.8% of total)

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

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

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

bsearch19.0ms (0.3%)

Memory

-2.4MiB live, 35.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	875732879838254500.0	1.1557063186694078e+20
1.0ms	-6.3703573697651726e+35	-4.375438631586346e+33

Samples

13.0ms

96×

valid

Compiler

Compiled 152 to 196 computations (-28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 6.0ms (56.8% of total)

ival-sin: 3.0ms (28.4% of total)

ival-add: 1.0ms (9.5% of total)

ival-mult: 1.0ms (9.5% of total)

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

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

bsearch33.0ms (0.4%)

Memory

5.8MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.6778541196337294e-203	1.0792801752712983e-202
19.0ms	-1.4647339557793135e-83	-1.1035838297632189e-86

Samples

22.0ms

224×

valid

Compiler

Compiled 138 to 196 computations (-42% saved)

Precisions

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

ival-sin: 8.0ms (47.8% of total)

ival-cos: 4.0ms (23.9% of total)

ival-add: 2.0ms (11.9% of total)

ival-mult: 2.0ms (11.9% of total)

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

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

simplify30.0ms (0.4%)

Memory

5.5MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	575
1	117	575

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -16600000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 179999999999999999821983193335594481622721288750180221470325910297548118109391827533713210512608965493815672839827682957257278660029104979361191843066047415668102276464799741040918528 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -230000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 50000000000 binary64)) #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))))
(if (<=.f64 y #s(literal -4000000000000000079538499354624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 19000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -200000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (+.f64 y x) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 3 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 12500000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 950000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))

Outputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -16600000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))))
(if (<=.f64 x #s(literal -16600000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 x #s(literal 279744320480505/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 179999999999999999821983193335594481622721288750180221470325910297548118109391827533713210512608965493815672839827682957257278660029104979361191843066047415668102276464799741040918528 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 (cos.f64 y) z)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 179999999999999999821983193335594481622721288750180221470325910297548118109391827533713210512608965493815672839827682957257278660029104979361191843066047415668102276464799741040918528 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 z (cos.f64 y))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -26499999999999999767011209767868523776771414925510542357380678549504 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3900000000000000000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -230000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 50000000000 binary64)) #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))))
(if (<=.f64 z #s(literal -230000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 50000000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -4000000000000000079538499354624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 19000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -4000000000000000079538499354624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 19000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x (sin.f64 y)))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -200000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (+.f64 y x) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 3 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -200000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 3 binary64)) #s(approx (/ 1 (pow (+ ( (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))))
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(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 950000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -4500000000000000043318915593404416 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 950000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 x #s(literal -4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 x #s(literal 9001544493382443/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))

soundness1.4s (19.5%)

Memory

-191.6MiB live, 745.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	846	633
3	2177	631
4	4214	631
5	7324	631
0	8046	578
0	401	4590
1	1195	4489
2	3764	4360
0	8230	4014
0	416	4641
1	1245	4453
2	3659	4302
0	8581	3946
0	383	4815
1	1121	4684
2	3241	4417
0	8237	4052
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20

Stop Event

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

Compiler

Compiled 579 to 295 computations (49.1% saved)

preprocess224.0ms (3%)

Memory: -7.1MiB live, 108.3MiB allocated
Compiler: Compiled 612 to 196 computations (68% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	29	178
0	47	172
1	72	172
2	103	172
3	237	172
4	511	172
5	732	172
6	780	172
7	867	172
8	867	172
0	867	171

Iter	Nodes	Cost
0	29	178
0	47	172
1	72	172
2	103	172
3	237	172
4	511	172
5	732	172
6	780	172
7	867	172
8	867	172
0	867	171

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.4%)

explain168.0ms (2.3%)

preprocess74.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize68.0ms (0.9%)

series10.0ms (0.1%)

simplify190.0ms (2.6%)

rewrite246.0ms (3.3%)

eval54.0ms (0.7%)

prune39.0ms (0.5%)

simplify32.0ms (0.4%)

localize121.0ms (1.6%)

series59.0ms (0.8%)

simplify236.0ms (3.2%)

rewrite161.0ms (2.2%)

eval219.0ms (3%)

prune74.0ms (1%)

simplify184.0ms (2.5%)

localize132.0ms (1.8%)

series38.0ms (0.5%)

simplify205.0ms (2.8%)

rewrite194.0ms (2.6%)

eval184.0ms (2.5%)

prune68.0ms (0.9%)

simplify159.0ms (2.1%)

localize178.0ms (2.4%)

series42.0ms (0.6%)

simplify196.0ms (2.6%)

rewrite171.0ms (2.3%)

eval149.0ms (2%)

prune53.0ms (0.7%)

regimes79.0ms (1.1%)

regimes72.0ms (1%)

regimes58.0ms (0.8%)

regimes47.0ms (0.6%)

regimes63.0ms (0.8%)

regimes31.0ms (0.4%)

regimes64.0ms (0.9%)

regimes64.0ms (0.9%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch48.0ms (0.6%)

bsearch62.0ms (0.8%)

bsearch2.0ms (0%)

bsearch48.0ms (0.6%)

bsearch44.0ms (0.6%)

bsearch1.0ms (0%)

bsearch38.0ms (0.5%)

bsearch19.0ms (0.3%)

bsearch33.0ms (0.4%)

simplify30.0ms (0.4%)

soundness1.4s (19.5%)

preprocess224.0ms (3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	178
0	47	172
1	72	172
2	103	172
3	237	172
4	511	172
5	732	172
6	780	172
7	867	172
8	867	172
0	867	171