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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

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)

sample1.5s (17.7%)

Memory

70.5MiB live, 2 138.7MiB allocated; 352ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 723.0ms

ival-sin: 260.0ms (36% of total)

ival-cos: 209.0ms (28.9% of total)

ival-mult: 141.0ms (19.5% of total)

ival-add: 101.0ms (14% of total)

ival-true: 6.0ms (0.8% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain394.0ms (4.6%)

Memory

-24.6MiB live, 242.4MiB allocated; 176ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

148.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 81.0ms (61.9% of total)

ival-sin: 36.0ms (27.5% of total)

ival-cos: 11.0ms (8.4% of total)

ival-add: 2.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess318.0ms (3.7%)

Memory

-13.7MiB live, 219.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	94	81
2	184	81
3	326	81
4	624	81
5	1442	81
6	3589	81
7	6683	81
0	8	9
0	13	9
1	26	9
2	47	9
3	95	9
4	184	9
5	446	9
6	1146	9
7	2599	9
8	5270	9
0	8211	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify170.0ms (2%)

Memory

13.4MiB live, 156.3MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	1	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	26	24
2	47	24
3	95	24
4	184	24
5	446	24
6	1146	24
7	2599	24
8	5270	24
0	8211	23

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (0.8%)

Memory

-18.9MiB live, 25.8MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.01171875	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1328125	(*.f64 x (cos.f64 y))
accuracy	0.14453125	(*.f64 z (sin.f64 y))

Samples

65.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sin: 45.0ms (80.4% of total)

ival-cos: 6.0ms (10.7% of total)

ival-mult: 4.0ms (7.1% of total)

ival-add: 1.0ms (1.8% of total)

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

adjust: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

4 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify226.0ms (2.7%)

Memory

9.6MiB live, 308.3MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	248
1	361	244
2	1343	238
3	4829	236
0	8461	209

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite202.0ms (2.4%)

Memory

7.4MiB live, 281.0MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	39	19
2	251	19
3	2605	19
0	8293	18

Stop Event

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

Counts

4 → 266

Calls

Call 1

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

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

eval88.0ms (1%)

Memory: -42.3MiB live, 109.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 510 to 762 computations (89.9% saved)

prune18.0ms (0.2%)

Memory

33.7MiB live, 78.4MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	269	17	286
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	17	287

Accuracy

99.9%

Counts

287 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(fma.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	28.8%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	41.4%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
▶	40.5%	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
	48.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
	52.0%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	99.7%	(+.f64 (.f64 x (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))) (.f64 z (sin.f64 y)))
	63.8%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
▶	78.9%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	50.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
▶	87.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
	87.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	42.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))

Compiler

Compiled 740 to 434 computations (41.4% saved)

simplify79.0ms (0.9%)

Memory

-28.9MiB live, 119.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	165
0	48	161
1	87	161
2	148	161
3	296	161
4	586	161
5	1157	159
6	2158	159
7	4559	159
0	8260	158

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.9%)

Memory

28.0MiB live, 219.7MiB allocated; 26ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) z))
accuracy	0.0703125	(*.f64 (sin.f64 y) z)
accuracy	0.07421875	(*.f64 (cos.f64 y) x)
accuracy	22.093018986351524	(sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
accuracy	1.7011892216853772	(fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y))
accuracy	3.3605215539973994	(*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x)
accuracy	0.00390625	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
accuracy	0.0703125	(*.f64 z (sin.f64 y))
accuracy	0.07421875	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	12.559960583666689	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 z y x)
accuracy	14.396070850779353	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.03125	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.0703125	(*.f64 (sin.f64 y) z)

Samples

89.0ms	188×	0	valid
57.0ms	68×	0	invalid

Compiler

Compiled 150 to 25 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 85.0ms (78.8% of total)

ival-cos: 6.0ms (5.6% of total)

ival-add: 5.0ms (4.6% of total)

ival-sin: 5.0ms (4.6% of total)

ival-sqrt: 3.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.7%)

Memory

-26.3MiB live, 61.7MiB allocated; 14ms collecting garbage

Counts

18 → 55

Calls

Call 1

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

Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* x (cos y))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* x (sqrt (cos y)))
(* (pow x 2) (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (cos y)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (sqrt (cos y))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ x (* -1/4 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2))))))))
(pow x 2)
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2))
(sin y)
(* y (+ z (/ x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	z	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (sin y) z)) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x))
8.0ms	x	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (sin y) z)) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x))
4.0ms	z	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (sin y) z)) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x))
3.0ms	x	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (sin y) z)) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x))
3.0ms	x	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ z x) (sin y)) (cos y)) (/ z x) (+ (* (sqrt (* (* (cos y) x) x)) (sqrt (cos y))) (* (sin y) z)) (sqrt (* (* (cos y) x) x)) (* (* (cos y) x) x) (* (cos y) x))

simplify269.0ms (3.2%)

Memory

55.1MiB live, 286.2MiB allocated; 93ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	572
1	734	567
2	2614	536
3	5583	526
0	8168	469

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* y z)
(+ x (* y z))
(* x (cos y))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ z x)
(* x (sqrt (cos y)))
(* (pow x 2) (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (cos y)))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (sqrt (cos y))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ x (* -1/4 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2))))))))
(pow x 2)
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2))
(sin y)
(* y (+ z (/ x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))

Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(/ z x)
(/.f64 z x)
(* x (sqrt (cos y)))
(*.f64 (sqrt.f64 (cos.f64 y)) x)
(* (pow x 2) (cos y))
(.f64 (.f64 (cos.f64 y) x) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* x (cos y)))
(*.f64 (neg.f64 x) (cos.f64 y))
(* -1 (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))
(* -1 (* x (sqrt (cos y))))
(*.f64 (neg.f64 x) (sqrt.f64 (cos.f64 y)))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64))) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 z (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))) (.f64 z y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x x))
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 z x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(+ x (* -1/4 (* x (pow y 2))))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/4 x) (* -1/96 (* x (pow y 2))))))
(fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/4 x) (* (pow y 2) (+ (* -1/96 x) (* -19/5760 (* x (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -19/5760 binary64) (.f64 y y) #s(literal -1/96 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 y y) x))
(pow x 2)
(*.f64 x x)
(+ (* -1/2 (* (pow x 2) (pow y 2))) (pow x 2))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) (*.f64 x x))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* 1/24 (* (pow x 2) (pow y 2))))) (pow x 2))
(fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) y) y (*.f64 x x))
(+ (* (pow y 2) (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* -1/720 (* (pow x 2) (pow y 2))) (* 1/24 (pow x 2)))))) (pow x 2))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) (.f64 x x)))
(sin y)
(sin.f64 y)
(* y (+ z (/ x y)))
(fma.f64 z y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 z y x)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* z (+ y (/ x z)))
(fma.f64 z y x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 z y x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))

rewrite202.0ms (2.4%)

Memory

10.0MiB live, 333.3MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
0	48	123
1	179	123
2	1055	122
0	8498	121

Stop Event

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

Counts

18 → 617

Calls

Call 1

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

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

eval178.0ms (2.1%)

Memory: -8.9MiB live, 241.7MiB allocated; 58ms collecting garbage
Compiler: Compiled 18 839 to 1 868 computations (90.1% saved)

prune32.0ms (0.4%)

Memory

3.0MiB live, 91.7MiB allocated; 10ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	624	17	641
Fresh	5	7	12
Picked	3	2	5
Done	0	0	0
Total	632	26	658

Accuracy

100.0%

Counts

658 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(fma.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	73.2%	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) z))
	28.8%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	41.4%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
	48.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
	52.0%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	73.3%	(fma.f64 (exp.f64 (.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x (*.f64 (sin.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	73.2%	(fma.f64 #s(approx (sqrt (* (* (cos y) x) x)) (.f64 (sqrt.f64 (cos.f64 y)) x)) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) z))
	50.6%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.6%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
	42.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	74.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
	68.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 2 binary64)))))
	67.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) #s(approx (cos y) #s(literal 1 binary64))) x))
▶	87.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	90.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	45.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))) x))
	45.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) x))
	46.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	33.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
▶	58.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
▶	16.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 1 210 to 723 computations (40.2% saved)

simplify246.0ms (2.9%)

Memory

3.1MiB live, 291.2MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	204
0	54	185
1	99	185
2	219	185
3	580	185
4	2161	185
0	8985	180

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (2.9%)

Memory

-2.8MiB live, 334.3MiB allocated; 92ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (exp.f64 (.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x (*.f64 (sin.f64 y) z))
accuracy	0.05078125	(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.0703125	(*.f64 (sin.f64 y) z)
accuracy	15.474560989082661	(log.f64 (cos.f64 y))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
accuracy	0.04296875	(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
accuracy	6.870009231454389	(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
accuracy	3.3605215539973994	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)
accuracy	16.938560810830804	#s(approx (+ (* (/ z x) (sin y)) (cos y)) (cos.f64 y))
accuracy	0.0	(*.f64 z y)
accuracy	14.396070850779353	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	26.806241455218508	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.0546875	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.07421875	(*.f64 (cos.f64 y) x)

Samples

118.0ms	83×	2	valid
51.0ms	68×	0	invalid
27.0ms	42×	1	valid
24.0ms	63×	0	valid

Compiler

Compiled 164 to 31 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-cos: 48.0ms (31.6% of total)

ival-mult: 29.0ms (19.1% of total)

adjust: 24.0ms (15.8% of total)

ival-log: 19.0ms (12.5% of total)

ival-add: 14.0ms (9.2% of total)

ival-sin: 7.0ms (4.6% of total)

ival-div: 5.0ms (3.3% of total)

ival-exp: 4.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series117.0ms (1.4%)

Memory

-21.5MiB live, 259.5MiB allocated; 41ms collecting garbage

Counts

20 → 61

Calls

Call 1

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

Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(/ x z)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* -1/24 (pow y 2)) 1/4))
(* (pow y 2) (- (* (pow y 2) (- (* -1/90 (pow y 2)) 1/24)) 1/4))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/5040 (pow y 2)) 1/90)) 1/24)) 1/4))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* y (+ z (/ x y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(log (cos y))
(* 1/2 (log (cos y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(* z (+ y (/ x z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	y	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (* (* (log (cos y)) 1/2) 2) (exp (* (* (log (cos y)) 1/2) 2)) (+ (* (exp (* (* (log (cos y)) 1/2) 2)) x) (* (sin y) z)) (* (log (cos y)) 1/2) (log (cos y)) (* (sin y) z))
36.0ms	x	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (* (* (log (cos y)) 1/2) 2) (exp (* (* (log (cos y)) 1/2) 2)) (+ (* (exp (* (* (log (cos y)) 1/2) 2)) x) (* (sin y) z)) (* (log (cos y)) 1/2) (log (cos y)) (* (sin y) z))
21.0ms	y	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (* (* (log (cos y)) 1/2) 2) (exp (* (* (log (cos y)) 1/2) 2)) (+ (* (exp (* (* (log (cos y)) 1/2) 2)) x) (* (sin y) z)) (* (log (cos y)) 1/2) (log (cos y)) (* (sin y) z))
4.0ms	z	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (* (* (log (cos y)) 1/2) 2) (exp (* (* (log (cos y)) 1/2) 2)) (+ (* (exp (* (* (log (cos y)) 1/2) 2)) x) (* (sin y) z)) (* (log (cos y)) 1/2) (log (cos y)) (* (sin y) z))
2.0ms	x	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (* (* (log (cos y)) 1/2) 2) (exp (* (* (log (cos y)) 1/2) 2)) (+ (* (exp (* (* (log (cos y)) 1/2) 2)) x) (* (sin y) z)) (* (log (cos y)) 1/2) (log (cos y)) (* (sin y) z))

simplify210.0ms (2.5%)

Memory

43.5MiB live, 221.4MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	617
1	715	613
2	2436	599
3	6020	599
0	8515	548

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

Calls

Call 1

Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(sin y)
(+ (sin y) (/ (* x (cos y)) z))
(/ x z)
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(/ (* x (cos y)) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(+ y (/ x z))
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* -1/24 (pow y 2)) 1/4))
(* (pow y 2) (- (* (pow y 2) (- (* -1/90 (pow y 2)) 1/24)) 1/4))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/5040 (pow y 2)) 1/90)) 1/24)) 1/4))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* y (+ z (/ x y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(log (cos y))
(* 1/2 (log (cos y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(/ (+ (* x (cos y)) (* z (sin y))) z)
(* z (+ y (/ x z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))

Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* y z)
(*.f64 z y)
(+ x (* y z))
(fma.f64 z y x)
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (+ (* x (cos y)) (* z (sin y))) x)
(fma.f64 (sin.f64 y) (/.f64 z x) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* x (cos y)) z))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(/ x z)
(/.f64 x z)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 z y x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(/ (* x (cos y)) z)
(/.f64 (*.f64 (cos.f64 y) x) z)
(* x (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
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)) (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64))) y)
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 z x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(+ y (/ x z))
(+.f64 (/.f64 x z) y)
(+ (* y (+ 1 (* -1/2 (/ (* x y) z)))) (/ x z))
(+.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) x x) z) y)
(+ (* y (+ 1 (* y (+ (* -1/2 (/ x z)) (* -1/6 y))))) (/ x z))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))
(* -1/2 (pow y 2))
(.f64 (.f64 #s(literal -1/2 binary64) y) y)
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 y y)) #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 y y)) #s(literal 1/12 binary64)) y) y) #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/2520 binary64) (.f64 y y)) #s(literal 1/45 binary64)) y) y) #s(literal 1/12 binary64)) (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y))
(* -1/4 (pow y 2))
(.f64 #s(literal -1/4 binary64) (.f64 y y))
(* (pow y 2) (- (* -1/24 (pow y 2)) 1/4))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 y y)) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (- (* -1/90 (pow y 2)) 1/24)) 1/4))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/90 binary64) (.f64 y y)) #s(literal 1/24 binary64)) y) y) #s(literal 1/4 binary64)) (.f64 y y))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/5040 (pow y 2)) 1/90)) 1/24)) 1/4))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/5040 binary64) (.f64 y y)) #s(literal 1/90 binary64)) y) y) #s(literal 1/24 binary64)) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 y y))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (*.f64 z y))
(* y (+ z (/ x y)))
(*.f64 (+.f64 (/.f64 x y) z) y)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(log (cos y))
(log.f64 (cos.f64 y))
(* 1/2 (log (cos y)))
(*.f64 (log.f64 (cos.f64 y)) #s(literal 1/2 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) z) y)
(/ (+ (* x (cos y)) (* z (sin y))) z)
(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
(* z (+ y (/ x z)))
(fma.f64 z y x)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(fma.f64 (sin.f64 y) (/.f64 z x) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 z y x)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(fma.f64 (sin.f64 y) (/.f64 z x) (*.f64 (cos.f64 y) #s(literal 1 binary64)))

rewrite218.0ms (2.6%)

Memory

-35.8MiB live, 254.9MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	179
0	54	160
1	183	160
2	1171	159
0	8486	154

Stop Event

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

Counts

20 → 364

Calls

Call 1

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

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

eval68.0ms (0.8%)

Memory: 3.7MiB live, 155.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 14 540 to 1 771 computations (87.8% saved)

prune31.0ms (0.4%)

Memory

-7.8MiB live, 94.7MiB allocated; 8ms collecting garbage

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	436	15	451
Fresh	9	10	19
Picked	1	4	5
Done	0	2	2
Total	446	31	477

Accuracy

100.0%

Counts

477 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(fma.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	28.8%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	41.4%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
	48.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
	52.0%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
▶	50.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
	42.8%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	74.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))))
	66.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
	54.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))))
✓	87.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
▶	90.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	45.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))) x))
	46.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
▶	47.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y)))) x))
▶	58.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x))
	31.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (*.f64 (sin.f64 y) (/.f64 z x))) x))
	47.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (exp.f64 (log.f64 (cos.f64 y)))) x))
✓	58.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) x))
▶	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x))
	43.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ x z) (cos y)) (sin y)) (+.f64 (/.f64 x z) y)) z))
	41.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	16.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 1 509 to 886 computations (41.3% saved)

simplify193.0ms (2.3%)

Memory

3.4MiB live, 278.8MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y))))
cost-diff	0	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y)))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y)))) x))
cost-diff	4	(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
cost-diff	0	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x))
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff	2	(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	351
0	73	311
1	131	306
2	276	306
3	734	306
4	2208	304
0	8191	297

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (4.4%)

Memory

35.0MiB live, 416.2MiB allocated; 65ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.734375	(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64)))
accuracy	3.3605215539973994	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y)))) x)
accuracy	15.474560989082661	(log.f64 (cos.f64 y))
accuracy	16.938560810830804	#s(approx (+ (* (/ z x) (sin y)) (cos y)) (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (cos.f64 y))))
accuracy	0.05859375	(/.f64 #s(literal 1 binary64) (cos.f64 y))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
accuracy	3.3605215539973994	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
accuracy	16.938560810830804	#s(approx (+ (* (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))))
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.015625	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.0625	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	15.211284782922814	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0.0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x))
accuracy	3.3605215539973994	(.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x)
accuracy	12.559960583666689	#s(approx (cos y) #s(literal 1 binary64))
accuracy	16.938560810830804	#s(approx (+ (* (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.03515625	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.07421875	(/.f64 (sin.f64 y) x)
accuracy	3.3605215539973994	(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

146.0ms	83×	2	valid
110.0ms	68×	0	invalid
50.0ms	63×	0	valid
44.0ms	42×	1	valid

Compiler

Compiled 231 to 39 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 84.0ms (30.3% of total)

adjust: 44.0ms (15.9% of total)

ival-cos: 44.0ms (15.9% of total)

ival-add: 34.0ms (12.3% of total)

const: 27.0ms (9.7% of total)

ival-log: 18.0ms (6.5% of total)

ival-div: 10.0ms (3.6% of total)

ival-pow: 7.0ms (2.5% of total)

ival-sin: 5.0ms (1.8% of total)

ival-exp: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series75.0ms (0.9%)

Memory

-15.8MiB live, 88.7MiB allocated; 26ms collecting garbage

Counts

22 → 83

Calls

Call 1

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

Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(/ 1 (cos y))
(log (cos y))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (/ 1 (cos y))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (* (exp 1/2) (exp 1/2)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ 1 (cos y)) (log (cos y)))
23.0ms	x	@	inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (/ 1 (cos y))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (* (exp 1/2) (exp 1/2)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ 1 (cos y)) (log (cos y)))
8.0ms	y	@	inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (/ 1 (cos y))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (* (exp 1/2) (exp 1/2)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ 1 (cos y)) (log (cos y)))
3.0ms	x	@	-inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (/ 1 (cos y))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (* (exp 1/2) (exp 1/2)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ 1 (cos y)) (log (cos y)))
2.0ms	x	@	0	((* (+ (* z (/ (sin y) x)) (cos y)) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (cos y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (/ 1 (/ 1 (cos y))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (* (exp 1/2) (exp 1/2)) (+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ z x) (sin y)) (cos y)) x) (+ (* (/ z x) (sin y)) (cos y)) (/ 1 (cos y)) (log (cos y)))

simplify197.0ms (2.3%)

Memory

20.9MiB live, 250.2MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1016
1	971	966
2	3569	950
0	8327	858

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 81

Calls

Call 1

Inputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(/ (* z (sin y)) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/ (sin y) x)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ z (* -1/6 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(* -1/6 (* y z))
(+ (* -1/2 x) (* -1/6 (* y z)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(* -1/2 (* x y))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(* -1/2 x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
1
(+ 1 (/ (* y z) x))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* -1/2 (* x y)))
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(* -1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(/ 1 (cos y))
(log (cos y))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(* z (+ 1 (* -1/6 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))

Outputs
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(/ (* z (sin y)) x)
(/.f64 (*.f64 (sin.f64 y) z) x)
(/ (+ (* x (cos y)) (* z (sin y))) x)
(/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (+ z (* -1/6 (* (pow y 2) z)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
(+ z (* -1/6 (* (pow y 2) z)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(+ z (+ (* -1/2 (* x y)) (* -1/6 (* (pow y 2) z))))
(fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z)
(* -1/6 (* y z))
(.f64 (.f64 y z) #s(literal -1/6 binary64))
(+ (* -1/2 x) (* -1/6 (* y z)))
(fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* z (sin y)) x))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(* x (+ 1 (* -1/2 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x))))
(.f64 (fma.f64 y (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) x)
(* -1/2 (* x y))
(.f64 (.f64 x y) #s(literal -1/2 binary64))
(* x (+ (* -1/2 y) (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(.f64 (-.f64 (.f64 (*.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) x)
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* 1/2 (pow y 2))) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) z) x))) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/6 (* (pow y 2) z))) x)) (* 1/2 y))))
(.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)) x)
(* -1 (* x (+ 1/2 (* 1/6 (/ (* y z) x)))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 z x) #s(literal -1/2 binary64)) x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z) y x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
1
#s(literal 1 binary64)
(+ 1 (/ (* y z) x))
(fma.f64 (/.f64 z x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ z x))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) x) (.f64 y y) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
z
(+ z (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x z)
(+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))
(fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z)
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 y y) #s(literal 5/24 binary64)) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 y y)) #s(literal 1/2 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 y y)) #s(literal 1/12 binary64)) y) y) #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/2520 binary64) (.f64 y y)) #s(literal 1/45 binary64)) y) y) #s(literal 1/12 binary64)) (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y))
(* -1/6 (* (pow y 3) z))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) z)
(* (pow y 3) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (+ (/ x (pow y 3)) (/ z (pow y 2))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1/6 (* (pow y 2) z))
(.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* -1/6 z)))
(.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) z)) y) y)
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* -1/6 z) (/ z (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (.f64 y y))
(* y (+ (* -1/2 (/ x y)) (* -1/6 z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) y)
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(log (cos y))
(log.f64 (cos.f64 y))
(* -1 (* (pow y 3) (+ (* 1/6 z) (* 1/2 (/ x y)))))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 x) (/ z y)) y)) (* 1/6 z))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* 1/6 z))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) z) y)) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ z y)) (* 1/2 x)) y)) (* -1/6 z)))
(.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) (.f64 y y))
(* -1 (* y (+ (* 1/6 z) (* 1/2 (/ x y)))))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) y)
(+ x (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) x)
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
(+ (* -1/2 (* x y)) (* z (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z)
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* z (+ (/ (cos y) z) (/ (sin y) x)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* y (* z (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ x z))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z))) z)
(* z (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1/2 (/ (* x y) z)) (* -1/6 (pow y 2)))))
(.f64 (fma.f64 (.f64 y (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)
(* z (+ (* -1/2 (/ x z)) (* -1/6 y)))
(.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (- (* 1/6 (pow y 2)) 1)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z))) z)
(* -1 (* z (- (* 1/6 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)
(* -1 (* z (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* x y) z))) 1)))
(.f64 (neg.f64 (fma.f64 (.f64 y (/.f64 x z)) #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))) z)
(* -1 (* z (+ (* 1/6 y) (* 1/2 (/ x z)))))
(.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) z)

rewrite227.0ms (2.7%)

Memory

-11.8MiB live, 422.2MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	310
0	73	261
1	244	260
2	1482	260
0	8337	255

Stop Event

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

Counts

22 → 434

Calls

Call 1

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

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

eval113.0ms (1.3%)

Memory: -0.7MiB live, 195.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 21 082 to 2 516 computations (88.1% saved)

prune74.0ms (0.9%)

Memory

-26.1MiB live, 116.1MiB allocated; 15ms collecting garbage

Pruning

36 alts after pruning (27 fresh and 9 done)

	Pruned	Kept	Total
New	482	10	492
Fresh	3	17	20
Picked	2	3	5
Done	0	6	6
Total	487	36	523

Accuracy

100.0%

Counts

523 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.4%	(fma.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	28.8%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (neg.f64 x) (cos.f64 y))) (.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	41.4%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
	48.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z)) (*.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.9%	(fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	50.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	50.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
	50.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 y z) #s(literal -1/6 binary64))) y z) y x))
	50.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x))
	36.8%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
	36.4%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 x y) #s(literal -1/2 binary64))) y x))
	42.8%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
	36.3%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) x)))
✓	51.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	90.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (cos.f64 y))) (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x)))
	73.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (fma.f64 (/.f64 z x) (sin.f64 y) (neg.f64 (cos.f64 y)))))
	66.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
	54.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (.f64 x (cos.f64 y)) z)) (pow.f64 (/.f64 (.f64 x (cos.f64 y)) z) #s(literal 2 binary64)))))
✓	87.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
✓	90.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	45.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 z x) y)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))) x))
	46.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
✓	58.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x))
	36.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (cos y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))) x))
	31.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (*.f64 (sin.f64 y) (/.f64 z x))) x))
	47.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (exp.f64 (log.f64 (cos.f64 y)))) x))
✓	58.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) x))
	36.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) x))
✓	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x))
	43.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ x z) (cos y)) (sin y)) (+.f64 (/.f64 x z) y)) z))
	41.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	16.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 2 524 to 918 computations (63.6% saved)

regimes202.0ms (2.4%)

Memory

12.9MiB live, 173.8MiB allocated; 44ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

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

Calls

4 calls:

108.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
43.0ms	z
33.0ms	x
15.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes76.0ms (0.9%)

Memory

-18.4MiB live, 70.1MiB allocated; 9ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

33.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
23.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
78.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
86.4%	3	`x`
80.7%	2	`y`
89.9%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
89.9%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes50.0ms (0.6%)

Memory

21.5MiB live, 63.5MiB allocated; 8ms collecting garbage

Counts

28 → 5

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	x
7.0ms	z
7.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	y

Results

Accuracy	Segments	Branch
67.4%	4	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
82.2%	5	`y`
73.0%	3	`x`
77.9%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes39.0ms (0.5%)

Memory

-23.8MiB live, 33.1MiB allocated; 10ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

24.0ms	y
7.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
65.5%	3	`x`
67.2%	3	`z`
72.3%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes46.0ms (0.5%)

Memory

17.1MiB live, 59.6MiB allocated; 7ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	z
6.0ms	y
6.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
6.0ms	x

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
51.7%	1	`z`
51.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes15.0ms (0.2%)

Memory

-25.4MiB live, 19.2MiB allocated; 6ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

11.0ms	y
1.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
43.1%	3	`x`
38.3%	1	`y`
43.6%	3	`z`
38.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.1%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
16.1%	1	`y`
16.1%	1	`x`
16.1%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch66.0ms (0.8%)

Memory

-15.6MiB live, 88.2MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.0129652966677357e-97	3.75261516575131e-96
25.0ms	-1.207692426337799e-63	-1.1441301137032106e-71

Samples

24.0ms

256×

valid

Compiler

Compiled 565 to 439 computations (22.3% saved)

Precisions

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

ival-cos: 7.0ms (41.2% of total)

ival-sin: 6.0ms (35.3% of total)

ival-mult: 3.0ms (17.7% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0129652966677357e-97	3.75261516575131e-96
1.0ms	-1.207692426337799e-63	-1.1441301137032106e-71

Compiler

Compiled 556 to 430 computations (22.7% saved)

bsearch129.0ms (1.5%)

Memory

25.0MiB live, 159.5MiB allocated; 17ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	1.6569317705625053e+251	1.2970845514095267e+265
34.0ms	1.7006443178119102e+122	2.309230199277289e+126
16.0ms	3.3746841399242046e-14	0.012116679852159185
41.0ms	-37830.38794658151	-1.5805005536790855e-7

Samples

91.0ms

608×

valid

Compiler

Compiled 1 776 to 1 298 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 22.0ms (43.2% of total)

ival-cos: 14.0ms (27.5% of total)

ival-sin: 12.0ms (23.6% of total)

ival-add: 3.0ms (5.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch56.0ms (0.7%)

Memory

-19.6MiB live, 36.2MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3746841399242046e-14	0.012116679852159185
53.0ms	-179139884906.26917	-37830.38794658151

Samples

46.0ms

144×

valid

Compiler

Compiled 1 133 to 793 computations (30% saved)

Precisions

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

ival-add: 31.0ms (72.8% of total)

ival-cos: 5.0ms (11.7% of total)

ival-sin: 5.0ms (11.7% of total)

ival-mult: 2.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch71.0ms (0.8%)

Memory

-11.6MiB live, 80.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.1756268865854448e+173	4.3315221311625264e+176
40.0ms	-7.796900161789963e+177	-3.33474421479541e+175

Samples

33.0ms

240×

valid

Compiler

Compiled 687 to 479 computations (30.3% saved)

Precisions

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

ival-cos: 5.0ms (36.1% of total)

ival-sin: 4.0ms (28.9% of total)

ival-mult: 3.0ms (21.7% of total)

ival-add: 1.0ms (7.2% of total)

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

adjust: 0.0ms (0% of total)

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

simplify59.0ms (0.7%)

Memory

13.4MiB live, 60.1MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	363
1	129	363
2	208	363
3	433	363
4	880	363
5	1703	363
6	3429	363
7	6823	363

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)) (if (<=.f64 y #s(literal 1500000000000000112761730374777312941207143596528612320224363653536648887863622806996811651646637053142398932558278789490016256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 1700000000000000097413025821230552665739040323733855737633469222840177761967272715697140989258102789566496820767321857057562208623672331295088067013131433674424703706044506905391519210488683106270323072942864327631253661697907408914946502522546911374027865980928 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))))
(if (<=.f64 y #s(literal -38000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1600000000000000011918368803318911826307191901733046195775428066100223763948505856421951802198251293453544964164455434053960694132495637092944910785785982139354462235776702742528 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 135000000000000006014168740611326033395464139718510264088331738061762006777355721457374489917407308513762370177973170559738322358653753403601429292143955568662043792341204992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (fma.f64 (sin.f64 y) z (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (or (<=.f64 z #s(literal -3490733165718107/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (not (<=.f64 z #s(literal 2260613148474781/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)))) (fma.f64 (sin.f64 y) z (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)))
(if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)) (if (<=.f64 y #s(literal 1500000000000000112761730374777312941207143596528612320224363653536648887863622806996811651646637053142398932558278789490016256 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 1700000000000000097413025821230552665739040323733855737633469222840177761967272715697140989258102789566496820767321857057562208623672331295088067013131433674424703706044506905391519210488683106270323072942864327631253661697907408914946502522546911374027865980928 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))))
(if (<=.f64 y #s(literal -3242591731706757/144115188075855872 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)) #s(approx (+ ( (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)) (if (or (<=.f64 y #s(literal 1500000000000000112761730374777312941207143596528612320224363653536648887863622806996811651646637053142398932558278789490016256 binary64)) (not (<=.f64 y #s(literal 1700000000000000097413025821230552665739040323733855737633469222840177761967272715697140989258102789566496820767321857057562208623672331295088067013131433674424703706044506905391519210488683106270323072942864327631253661697907408914946502522546911374027865980928 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -38000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 y #s(literal -38000 binary64)) (not (<=.f64 y #s(literal 3112888062438487/288230376151711744 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) (cos.f64 y)) x)) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1600000000000000011918368803318911826307191901733046195775428066100223763948505856421951802198251293453544964164455434053960694132495637092944910785785982139354462235776702742528 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 135000000000000006014168740611326033395464139718510264088331738061762006777355721457374489917407308513762370177973170559738322358653753403601429292143955568662043792341204992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
(if (or (<=.f64 z #s(literal -1600000000000000011918368803318911826307191901733046195775428066100223763948505856421951802198251293453544964164455434053960694132495637092944910785785982139354462235776702742528 binary64)) (not (<=.f64 z #s(literal 135000000000000006014168740611326033395464139718510264088331738061762006777355721457374489917407308513762370177973170559738322358653753403601429292143955568662043792341204992 binary64)))) #s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (.f64 z y))) #s(approx (+ ( (sin y) z) (* (cos y) x)) (.f64 #s(approx (+ ( (/ z x) (sin y)) (cos y)) #s(approx (cos y) #s(literal 1 binary64))) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* z y) x) (*.f64 z y)))

derivations1.1s (13.4%)

Memory

-6.1MiB live, 1 147.7MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	572
1	734	567
2	2614	536
3	5583	526
0	8168	469
0	8	19
0	13	19
1	39	19
2	251	19
3	2605	19
0	8293	18
0	278	1016
1	971	966
2	3569	950
0	8327	858
0	28	132
0	48	123
1	179	123
2	1055	122
0	8498	121
0	93	248
1	361	244
2	1343	238
3	4829	236
0	8461	209
0	213	617
1	715	613
2	2436	599
3	6020	599
0	8515	548

Stop Event

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

Compiler

Compiled 363 to 84 computations (76.9% saved)

preprocess174.0ms (2%)

Memory: 31.5MiB live, 221.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 744 to 184 computations (75.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (17.7%)

explain394.0ms (4.6%)

preprocess318.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify170.0ms (2%)

localize71.0ms (0.8%)

series9.0ms (0.1%)

simplify226.0ms (2.7%)

rewrite202.0ms (2.4%)

eval88.0ms (1%)

prune18.0ms (0.2%)

simplify79.0ms (0.9%)

localize163.0ms (1.9%)

series56.0ms (0.7%)

simplify269.0ms (3.2%)

rewrite202.0ms (2.4%)

eval178.0ms (2.1%)

prune32.0ms (0.4%)

simplify246.0ms (2.9%)

localize243.0ms (2.9%)

series117.0ms (1.4%)

simplify210.0ms (2.5%)

rewrite218.0ms (2.6%)

eval68.0ms (0.8%)

prune31.0ms (0.4%)

simplify193.0ms (2.3%)

localize377.0ms (4.4%)

series75.0ms (0.9%)

simplify197.0ms (2.3%)

rewrite227.0ms (2.7%)

eval113.0ms (1.3%)

prune74.0ms (0.9%)

regimes202.0ms (2.4%)

regimes76.0ms (0.9%)

regimes9.0ms (0.1%)

regimes50.0ms (0.6%)

regimes39.0ms (0.5%)

regimes46.0ms (0.5%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch66.0ms (0.8%)

bsearch2.0ms (0%)

bsearch129.0ms (1.5%)

bsearch56.0ms (0.7%)

bsearch71.0ms (0.8%)

simplify59.0ms (0.7%)

derivations1.1s (13.4%)

preprocess174.0ms (2%)

end0.0ms (0%)

Profiling