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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 (19.1%)

Memory

52.8MiB live, 2 313.9MiB allocated; 476ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 775.0ms

ival-cos: 317.0ms (40.9% of total)

ival-sin: 212.0ms (27.3% of total)

ival-mult: 196.0ms (25.3% of total)

ival-add: 39.0ms (5% of total)

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

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain136.0ms (1.7%)

Memory

-26.1MiB live, 167.7MiB allocated; 29ms 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

68.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 22.0ms (43.4% of total)

ival-sin: 15.0ms (29.6% of total)

ival-cos: 11.0ms (21.7% of total)

ival-add: 2.0ms (3.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess198.0ms (2.5%)

Memory

26.7MiB live, 263.8MiB allocated; 22ms 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: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify142.0ms (1.8%)

Memory

-17.4MiB live, 229.5MiB allocated; 45ms 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)

localize34.0ms (0.4%)

Memory

17.0MiB live, 62.1MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.10546875	(*.f64 z (sin.f64 y))
accuracy	0.10546875	(*.f64 x (cos.f64 y))

Samples

28.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 7.0ms (36.3% of total)

ival-cos: 6.0ms (31.1% of total)

ival-sin: 5.0ms (25.9% of total)

ival-add: 1.0ms (5.2% of total)

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

adjust: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-25.0MiB live, 19.3MiB allocated; 8ms 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
5.0ms	y	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	-inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify255.0ms (3.3%)

Memory

23.8MiB live, 204.5MiB allocated; 53ms 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)

rewrite353.0ms (4.5%)

Memory

8.7MiB live, 351.9MiB allocated; 34ms 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)))
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(.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))
(.f64 (sqrt.f64 (.f64 (*.f64 (sin.f64 y) z) z)) (sqrt.f64 (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (.f64 (neg.f64 z) (*.f64 (neg.f64 z) (sin.f64 y)))))
(.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (.f64 (*.f64 (sin.f64 y) z) z)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (sin.f64 y)) (fabs.f64 z))
(*.f64 (fabs.f64 z) (fabs.f64 (sin.f64 y)))
(*.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))))

eval86.0ms (1.1%)

Memory: -9.9MiB live, 81.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 510 to 762 computations (89.9% saved)

prune43.0ms (0.5%)

Memory

-28.9MiB live, 34.9MiB allocated; 10ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	270	16	286
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	16	287

Accuracy

99.9%

Counts

287 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (cos.f64 y) x))
▶	42.3%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	45.0%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x))
	54.5%	(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))
▶	54.7%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
	99.8%	(+.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)))
	63.0%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
▶	78.2%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	51.8%	(.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)))))
	53.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	53.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	87.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 z x) (sin.f64 y) (cos.f64 y)) x))
	87.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	38.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))

Compiler

Compiled 638 to 410 computations (35.7% saved)

simplify178.0ms (2.3%)

Memory

33.1MiB live, 165.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
cost-diff	15	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
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	(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	33	196
0	57	180
1	104	180
2	211	180
3	590	180
4	1795	180
5	5829	180
0	8724	179

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (2.1%)

Memory

8.1MiB live, 151.1MiB allocated; 25ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
accuracy	0.09375	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	1.1484313074906176	(-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))
accuracy	12.149404460966146	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
accuracy	0.0546875	(*.f64 (sin.f64 y) z)
accuracy	0.07421875	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
accuracy	0.09603500976844201	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.13671875	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
accuracy	0.0	(sin.f64 y)
accuracy	0.0546875	(*.f64 z (sin.f64 y))
accuracy	0.0546875	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	12.371435068025109	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 z y x)
accuracy	13.05504868397684	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0.0	(sin.f64 y)
accuracy	0.00390625	(cos.f64 y)
accuracy	0.03515625	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.0546875	(*.f64 (cos.f64 y) x)

Samples

90.0ms	135×	0	invalid
30.0ms	121×	0	valid

Compiler

Compiled 192 to 30 computations (84.4% saved)

Precisions

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

ival-pow2: 35.0ms (41.7% of total)

ival-sin: 18.0ms (21.4% of total)

ival-mult: 12.0ms (14.3% of total)

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

ival-cos: 5.0ms (6% of total)

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

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

ival-sub: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% 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)

series61.0ms (0.8%)

Memory

-20.9MiB live, 76.9MiB allocated; 25ms collecting garbage

Counts

19 → 72

Calls

Call 1

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

Outputs
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* y z)
(+ x (* y z))
(* (sqrt x) (cos y))
(* x (pow (cos y) 2))
(* (pow z 2) (pow (sin y) 2))
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2)))
(* (pow x 2) (pow (cos y) 2))
(* x (+ (cos y) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* y z) x)))
(* -1 (* (pow x 2) (pow (cos y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt x) (* (cos y) (pow (sqrt -1) 2))))
(+ 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)))
(* 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)))))))
(sqrt x)
(+ (sqrt x) (* -1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* 1/24 (* (sqrt x) (pow y 2))))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/2 (sqrt x)) (* (pow y 2) (+ (* -1/720 (* (sqrt x) (pow y 2))) (* 1/24 (sqrt x)))))))
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)) (+ (* -1/2 z) (* 1/6 z))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) (* -1 z))))
(* -1 (pow x 2))
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* 1/3 (* (pow x 2) (pow y 2))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow y 2) (+ (* -2/45 (* (pow x 2) (pow y 2))) (* 1/3 (pow x 2)))))) (pow x 2))
(sin y)
(cos y)
(* y (+ z (/ x y)))
(pow (cos y) 2)
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (+ (* -1 (* x (cos y))) (* z (sin y))))
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ y (/ x z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (pow (* (cos y) x) 2))
9.0ms	z	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (pow (* (cos y) x) 2))
6.0ms	y	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (pow (* (cos y) x) 2))
5.0ms	x	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (pow (* (cos y) x) 2))
4.0ms	x	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow (* (sin y) z) 2) (* (sin y) z) (pow (* (cos y) x) 2))

simplify193.0ms (2.5%)

Memory

0.9MiB live, 273.8MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	1017
1	1038	976
2	4000	962
0	8671	890

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

rewrite414.0ms (5.3%)

Memory

39.2MiB live, 658.9MiB allocated; 146ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	142
0	57	120
1	224	118
2	1447	118
0	8454	117

Stop Event

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

Counts

19 → 1 375

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.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)) (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 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))))))))
(/.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 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (cos.f64 y)) (neg.f64 x)) (.f64 (neg.f64 (cos.f64 y)) (neg.f64 x))) (.f64 (.f64 z (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) (neg.f64 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 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (.f64 (.f64 z (sin.f64 y)) x) (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64)))))))
(/.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)))))))
(/.f64 (neg.f64 (neg.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 (neg.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.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 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (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 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(/.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 (neg.f64 x) (cos.f64 y) (.f64 z (sin.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 2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) (cos.f64 y)) (-.f64 (.f64 (neg.f64 x) (cos.f64 y)) (.f64 z (sin.f64 y)))))))))
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eval253.0ms (3.2%)

Memory: -45.4MiB live, 353.3MiB allocated; 100ms collecting garbage
Compiler: Compiled 43 333 to 3 856 computations (91.1% saved)

prune73.0ms (0.9%)

Memory

6.2MiB live, 107.1MiB allocated; 10ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 140	21	1 161
Fresh	8	3	11
Picked	3	2	5
Done	0	0	0
Total	1 151	26	1 177

Accuracy

100.0%

Counts

1 177 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	35.7%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	42.2%	(fma.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (sin.f64 y) z))
▶	45.0%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x))
	86.2%	(fma.f64 (sin.f64 y) z (*.f64 (sin.f64 (acos.f64 (sin.f64 y))) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
	18.1%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
	43.8%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	53.7%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.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)))
	53.9%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	51.8%	(.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)))))
	28.0%	#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 x x (.f64 z z)) (.f64 (neg.f64 z) z)) x) (*.f64 #s(literal 1/2 binary64) x)) y z) y x))
▶	91.0%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
▶	64.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
▶	53.4%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	53.3%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x))
	38.0%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
	26.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
✓	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
	87.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	48.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
	37.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
	50.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1 binary64)))))
▶	15.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 1 084 to 727 computations (32.9% saved)

simplify184.0ms (2.4%)

Memory

22.4MiB live, 159.4MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	239
0	69	239
1	120	239
2	254	239
3	644	239
4	1570	239
5	3645	237
6	6319	237
0	8021	229

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.7%)

Memory

28.8MiB live, 158.6MiB allocated; 22ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	0.045253759768442016	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (cos.f64 y) x))
accuracy	0.0625	(.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))
accuracy	3.2430439377673337	(sqrt.f64 (.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y)))
accuracy	0.0	(cos.f64 y)
accuracy	0.01953125	(*.f64 (cos.f64 y) x)
accuracy	6.559403748934376	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) x)
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.21803755058158836	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	6.057861916436883	#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	(*.f64 z y)
accuracy	5.593508234984711	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	8.39756014569814	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	0.01953125	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	0.01953125	(/.f64 (sin.f64 y) x)
accuracy	1.1707738125185616	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)
accuracy	1.5590386444361906	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))

Samples

71.0ms	196×	0	invalid
19.0ms	60×	0	valid

Compiler

Compiled 205 to 41 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 24.0ms (33.9% of total)

ival-cos: 15.0ms (21.2% of total)

ival-add: 10.0ms (14.1% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-sin: 5.0ms (7.1% of total)

const: 4.0ms (5.7% of total)

ival-pow2: 3.0ms (4.2% of total)

ival-div: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% 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)

series54.0ms (0.7%)

Memory

-49.3MiB live, 98.4MiB allocated; 31ms collecting garbage

Counts

19 → 110

Calls

Call 1

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

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)
(+ x (* y z))
(* 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))
(* z (* (sin y) (pow (sqrt -1) 2)))
(+ (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1/2 x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) 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))))
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* x (+ (cos y) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -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)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))))
(+ 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)))
z
(+ z (* -1/2 (* 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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* y (* z (pow (sqrt -1) 2))))
(+ x (* y (+ (* -1/2 (* x y)) (* z (pow (sqrt -1) 2)))))
(+ x (* y (+ (* y (+ (* -1/2 x) (* -1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2)))))
(* (* y (sqrt -1)) (sqrt z))
(* y (+ (* -1/6 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1))))
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* 1/120 (* (* (pow y 2) (sqrt -1)) (sqrt z)))))))
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/5040 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/120 (* (sqrt z) (sqrt -1)))))))))
(* -1 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z))))))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* y (+ z (/ x y)))
(* -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)))
(* (sqrt z) (* (sin y) (sqrt -1)))
(* -1 (* z (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x 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))) (* 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)))
(* z (+ y (/ x z)))
(* 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)))
(* z (+ (* (sin y) (pow (sqrt -1) 2)) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -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)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (sqrt z) (* (sin y) (sqrt -1))))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z 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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (cos y) x) (cos y) (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y)) (* (neg z) (sin y)) (* -1/2 x))
10.0ms	y	@	inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z 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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (cos y) x) (cos y) (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y)) (* (neg z) (sin y)) (* -1/2 x))
8.0ms	y	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z 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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (cos y) x) (cos y) (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y)) (* (neg z) (sin y)) (* -1/2 x))
4.0ms	x	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z 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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (cos y) x) (cos y) (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y)) (* (neg z) (sin y)) (* -1/2 x))
4.0ms	z	@	0	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z 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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (cos y) x) (cos y) (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (sqrt (* (* (neg z) (sin y)) (sin y))) (* (* (neg z) (sin y)) (sin y)) (* (neg z) (sin y)) (* -1/2 x))

simplify218.0ms (2.8%)

Memory

29.6MiB live, 272.6MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	1445
1	1446	1333
2	5863	1316
0	8180	1206

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 108

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)
(+ x (* y z))
(* 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))
(* z (* (sin y) (pow (sqrt -1) 2)))
(+ (* x (cos y)) (* z (* (sin y) (pow (sqrt -1) 2))))
(* -1/2 x)
(* x (+ (cos y) (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (/ (* z (sin y)) x))
x
(* x (+ 1 (/ (* y z) 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))))
(* x (- (* -1/6 (/ (* y z) x)) 1/2))
(* x (+ (cos y) (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (sin y)) x)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -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)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (* (sin y) (pow (sqrt -1) 2))) x)))))
(+ 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)))
z
(+ z (* -1/2 (* 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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* y (* z (pow (sqrt -1) 2))))
(+ x (* y (+ (* -1/2 (* x y)) (* z (pow (sqrt -1) 2)))))
(+ x (* y (+ (* y (+ (* -1/2 x) (* -1/6 (* y (* z (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 2)))))
(* (* y (sqrt -1)) (sqrt z))
(* y (+ (* -1/6 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* (sqrt z) (sqrt -1))))
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* 1/120 (* (* (pow y 2) (sqrt -1)) (sqrt z)))))))
(* y (+ (* (sqrt z) (sqrt -1)) (* (pow y 2) (+ (* -1/6 (* (sqrt z) (sqrt -1))) (* (pow y 2) (+ (* -1/5040 (* (* (pow y 2) (sqrt -1)) (sqrt z))) (* 1/120 (* (sqrt z) (sqrt -1)))))))))
(* -1 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z)))))
(* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* 1/3 z) (* (pow y 2) (+ (* -2/45 z) (* 1/315 (* (pow y 2) z))))))))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* y (+ z (/ x y)))
(* -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)))
(* (sqrt z) (* (sin y) (sqrt -1)))
(* -1 (* z (pow (sin y) 2)))
(* -1 (* z (sin y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x 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))) (* 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)))
(* z (+ y (/ x z)))
(* 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)))
(* z (+ (* (sin y) (pow (sqrt -1) 2)) (/ (* x (cos y)) z)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -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)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (sqrt z) (* (sin y) (sqrt -1))))

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

rewrite207.0ms (2.6%)

Memory

-18.4MiB live, 450.4MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	204
0	69	202
1	251	191
2	1722	181
0	9398	175

Stop Event

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

Counts

19 → 485

Calls

Call 1

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

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

eval136.0ms (1.7%)

Memory: 22.7MiB live, 227.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 23 465 to 2 346 computations (90% saved)

prune47.0ms (0.6%)

Memory

11.6MiB live, 101.1MiB allocated; 9ms collecting garbage

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	681	16	697
Fresh	8	11	19
Picked	2	3	5
Done	0	2	2
Total	691	32	723

Accuracy

100.0%

Counts

723 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.3%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
	35.7%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	43.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
	18.1%	(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (sin.f64 y) z (*.f64 (neg.f64 x) (cos.f64 y))))
	43.8%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	53.7%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.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)))
	51.8%	(.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)))))
	78.8%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
✓	91.0%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
	50.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
	73.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) x))
	28.6%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x)))
	32.7%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x))))
	50.6%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (sin.f64 (acos.f64 (sin.f64 y))) x))
✓	64.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
	50.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
▶	43.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
▶	38.0%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z)))
	41.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x y) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	42.4%	#s(approx (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (-.f64 x (*.f64 z y)))
▶	53.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	43.1%	#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 (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
	41.5%	#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))
	26.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
✓	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
▶	87.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	48.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
	37.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	15.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 1 555 to 1 035 computations (33.4% saved)

simplify115.0ms (1.5%)

Memory

2.9MiB live, 143.9MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(sqrt.f64 (neg.f64 z))
cost-diff	0	(*.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y)))
cost-diff	5	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z))
cost-diff	0	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z)))
cost-diff	0	#s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y)))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z)
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x)
cost-diff	0	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
cost-diff	0	#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
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	2	(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	297
0	78	297
1	134	297
2	262	292
3	599	292
4	1341	290
5	3235	286
0	8203	271

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

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

localize203.0ms (2.6%)

Memory

-37.3MiB live, 247.1MiB allocated; 74ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.01953125	(*.f64 (cos.f64 y) x)
accuracy	0.045253759768442016	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
accuracy	0.046875	(*.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y)))
accuracy	0.0	(sin.f64 y)
accuracy	0.02734375	(*.f64 (sin.f64 y) z)
accuracy	1.5590386444361906	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z)))
accuracy	9.63868503057654	#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z))
accuracy	0.01171875	(fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z)
accuracy	0.24147505058158836	(.f64 #s(literal -1/6 binary64) (.f64 z y))
accuracy	6.057861916436883	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
accuracy	8.405374367321457	#s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y)))
accuracy	1.1707738125185616	(.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)
accuracy	1.5590386444361906	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
accuracy	7.915297249901332	#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64))
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	0.01953125	(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
accuracy	1.4375075107263087	(*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z)

Samples

108.0ms	196×	0	invalid
47.0ms	60×	0	valid

Compiler

Compiled 214 to 44 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 37.0ms (34.6% of total)

ival-pow2: 15.0ms (14% of total)

ival-sin: 14.0ms (13.1% of total)

const: 14.0ms (13.1% of total)

ival-add: 10.0ms (9.4% of total)

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

ival-div: 4.0ms (3.7% of total)

ival-sqrt: 4.0ms (3.7% of total)

ival-fabs: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% 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)

series34.0ms (0.4%)

Memory

44.6MiB live, 88.5MiB allocated; 7ms collecting garbage

Counts

22 → 106

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (* (sin y) z) (sin y) (+ (* (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z))) (* (cos y) x)) (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z)) (neg z) (cos y) (* -1/6 (* z y)) (* (cos y) x))
4.0ms	z	@	-inf	((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (* (sin y) z) (sin y) (+ (* (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z))) (* (cos y) x)) (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z)) (neg z) (cos y) (* -1/6 (* z y)) (* (cos y) x))
3.0ms	y	@	inf	((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (* (sin y) z) (sin y) (+ (* (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z))) (* (cos y) x)) (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z)) (neg z) (cos y) (* -1/6 (* z y)) (* (cos y) x))
3.0ms	z	@	inf	((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (* (sin y) z) (sin y) (+ (* (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z))) (* (cos y) x)) (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z)) (neg z) (cos y) (* -1/6 (* z y)) (* (cos y) x))
3.0ms	z	@	0	((* (+ (* (/ x z) (cos y)) (sin y)) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (/ x z) (cos y)) (sin y)) (/ x z) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (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)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (* (+ (* (/ (sin y) x) z) (cos y)) x) (* (sin y) z) (sin y) (+ (* (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z))) (* (cos y) x)) (* (sqrt (neg z)) (fabs (sin y))) (sqrt (neg z)) (neg z) (cos y) (* -1/6 (* z y)) (* (cos y) x))

simplify235.0ms (3%)

Memory

-15.8MiB live, 290.5MiB allocated; 82ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	1333
1	1166	1237
2	4557	1221
0	8231	1115

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 103

Calls

Call 1

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

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

rewrite198.0ms (2.5%)

Memory

3.5MiB live, 385.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	271
0	78	269
1	263	265
2	1726	252
0	9517	239

Stop Event

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

Counts

22 → 317

Calls

Call 1

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

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

eval130.0ms (1.7%)

Memory: -29.7MiB live, 160.2MiB allocated; 22ms collecting garbage
Compiler: Compiled 17 982 to 1 814 computations (89.9% saved)

prune115.0ms (1.5%)

Memory

27.0MiB live, 130.7MiB allocated; 19ms collecting garbage

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	495	9	504
Fresh	5	17	22
Picked	0	5	5
Done	1	4	5
Total	501	35	536

Accuracy

100.0%

Counts

536 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.3%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
	28.5%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.7%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (cos.f64 y))) (sinh.f64 (log.f64 (cos.f64 y)))) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	43.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	78.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
	43.8%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (.f64 z (sin.f64 y))) #s(literal 2 binary64)))
	51.8%	(.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)))))
	78.8%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y))))
	50.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
	28.6%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x)))
	32.7%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (*.f64 (cos.f64 y) x))))
	50.6%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (sin.f64 (acos.f64 (sin.f64 y))) x))
✓	64.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))
	50.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	29.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x))
✓	43.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x))
	14.4%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) z)))
	9.8%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) z)))
✓	38.0%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z)))
	15.0%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(approx (* (sin y) 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))))
	41.1%	#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x y) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	42.4%	#s(approx (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (-.f64 x (*.f64 z y)))
✓	53.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	43.2%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z)) y x))
	41.5%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	26.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
✓	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	65.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y))))
	54.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (/.f64 (.f64 (cos.f64 y) x) z)) (pow.f64 (/.f64 (.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
	54.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 z y) x))
✓	87.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y)) z))
	48.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
	37.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
✓	15.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Compiler

Compiled 2 532 to 946 computations (62.6% saved)

regimes161.0ms (2.1%)

Memory

-16.2MiB live, 127.0MiB allocated; 27ms collecting garbage

Counts

63 → 1

Calls

Call 1

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

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

Calls

4 calls:

70.0ms	x
32.0ms	y
15.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	z

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)

regimes78.0ms (1%)

Memory

2.9MiB live, 92.2MiB allocated; 11ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))

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

#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))

Calls

4 calls:

30.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
29.0ms	y
9.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
78.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
89.1%	3	`x`
81.4%	3	`y`
88.1%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes52.0ms (0.7%)

Memory

-23.9MiB live, 83.7MiB allocated; 5ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))

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

Calls

4 calls:

19.0ms	x
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
68.2%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
82.4%	5	`y`
80.8%	3	`z`
79.3%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes53.0ms (0.7%)

Memory

25.2MiB live, 71.2MiB allocated; 2ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

Calls

3 calls:

37.0ms	y
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
63.9%	3	`x`
76.7%	3	`y`
63.9%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes56.0ms (0.7%)

Memory

8.9MiB live, 100.4MiB allocated; 6ms 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (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 (*.f64 z y) x))
#s(approx (+ (* (sqrt (* (* (neg z) (sin y)) (sin y))) (sqrt (neg z))) (* (cos y) x)) (-.f64 x (*.f64 z y)))
#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 (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 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))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (neg.f64 z) x) y) #s(literal 1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (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))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x y) y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) #s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(approx (* (sin y) 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))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) z)) y x))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.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)))
#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 (/.f64 x z)) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) z)) y x))
#s(approx (/ (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (sin y) z) (* (neg x) (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 x x (.f64 z z)) (.f64 (neg.f64 z) z)) x) (*.f64 #s(literal 1/2 binary64) x)) y z) y x))

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

Calls

4 calls:

21.0ms	x
20.0ms	y
6.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
6.0ms	z

Results

Accuracy	Segments	Branch
54.7%	1	`z`
54.7%	1	`x`
54.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.1%)

Memory

-38.4MiB live, 14.9MiB allocated; 3ms 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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (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 (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (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:

7.0ms	z
1.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
43.1%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
43.1%	1	`y`
47.9%	3	`z`
43.1%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
15.0%	1	`y`
15.0%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
15.0%	1	`x`
15.0%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch52.0ms (0.7%)

Memory

-12.9MiB live, 34.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	3071.512685979141	5049.635206384121
13.0ms	-3.250357359785255e-16	-2.675089607199647e-17

Samples

43.0ms

160×

valid

Compiler

Compiled 312 to 284 computations (9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (38.8% of total)

ival-sin: 3.0ms (29.1% of total)

ival-mult: 2.0ms (19.4% of total)

ival-add: 1.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.85689268340441e+90	1.0549148256416529e+92
16.0ms	-7.545701383366424e+135	-1.889559819066506e+132

Samples

20.0ms

240×

valid

Compiler

Compiled 522 to 449 computations (14% saved)

Precisions

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

ival-cos: 5.0ms (36.4% of total)

ival-sin: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

ival-add: 1.0ms (7.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch55.0ms (0.7%)

Memory

-17.5MiB live, 73.5MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	12002352273173.633	26234706659489130.0
30.0ms	-4.753134815228082e-7	-1.5174281042637956e-12

Samples

27.0ms

272×

valid

Compiler

Compiled 488 to 405 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 9.0ms (44.9% of total)

ival-cos: 6.0ms (30% of total)

ival-mult: 4.0ms (20% of total)

ival-add: 1.0ms (5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch58.0ms (0.7%)

Memory

-16.1MiB live, 38.8MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.7394105201662395e+145	2.956149261818801e+163
34.0ms	-1.2495099369188156e+273	-6.493650970654701e+268

Samples

43.0ms

288×

valid

Compiler

Compiled 876 to 644 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 25.0ms (70.3% of total)

ival-sin: 6.0ms (16.9% of total)

ival-mult: 4.0ms (11.3% of total)

ival-add: 1.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

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

simplify94.0ms (1.2%)

Memory

4.2MiB live, 46.4MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	217
1	104	217
2	158	217
3	285	217
4	521	217
5	1019	217
6	2395	217
7	5720	217

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 5000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))))
(if (<=.f64 z #s(literal -139999999999999993042250544049773712347943464576867499746290456765449361048629698856762075662517491808089974741188345305344094110744576 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 binary64)) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -8878048987794933/18889465931478580854784 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 12200000000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1600000000000000074806110216729804782703368690128656458946183796390426303031289431376589213088485339102523021014471920462921869095459888530358901243867167706219822847783420696939196032381363697636256125269965874216308693217699685495604220842850204077987148615422853513216 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 170000000000000004792517059612495600121740898552692417326429728698931854752410805230731460808752994594551427950895173075902084807309615463028921136217849856 binary64)) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 5000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 x #s(literal -6490371073168535/20282409603651670423947251286016 binary64)) (not (<=.f64 x #s(literal 5000 binary64)))) #s(approx (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))))
(if (<=.f64 z #s(literal -139999999999999993042250544049773712347943464576867499746290456765449361048629698856762075662517491808089974741188345305344094110744576 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 binary64)) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 z #s(literal -139999999999999993042250544049773712347943464576867499746290456765449361048629698856762075662517491808089974741188345305344094110744576 binary64)) (not (<=.f64 z #s(literal 3900000000000000219830497242340661183644449908613523001793536069628602337532449336133156864 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (*.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -8878048987794933/18889465931478580854784 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 12200000000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (or (<=.f64 y #s(literal -8878048987794933/18889465931478580854784 binary64)) (not (<=.f64 y #s(literal 12200000000000 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1600000000000000074806110216729804782703368690128656458946183796390426303031289431376589213088485339102523021014471920462921869095459888530358901243867167706219822847783420696939196032381363697636256125269965874216308693217699685495604220842850204077987148615422853513216 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 170000000000000004792517059612495600121740898552692417326429728698931854752410805230731460808752994594551427950895173075902084807309615463028921136217849856 binary64)) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (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 -1600000000000000074806110216729804782703368690128656458946183796390426303031289431376589213088485339102523021014471920462921869095459888530358901243867167706219822847783420696939196032381363697636256125269965874216308693217699685495604220842850204077987148615422853513216 binary64)) (not (<=.f64 z #s(literal 170000000000000004792517059612495600121740898552692417326429728698931854752410805230731460808752994594551427950895173075902084807309615463028921136217849856 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) #s(approx (+ ( (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

derivations897.0ms (11.5%)

Memory

11.4MiB live, 827.2MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	375	1445
1	1446	1333
2	5863	1316
0	8180	1206
0	8	19
0	13	19
1	39	19
2	251	19
3	2605	19
0	8293	18
0	287	1017
1	1038	976
2	4000	962
0	8671	890
0	33	142
0	57	120
1	224	118
2	1447	118
0	8454	117
0	93	248
1	361	244
2	1343	238
3	4829	236
0	8461	209

Stop Event

1×	fuel
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 217 to 68 computations (68.7% saved)

preprocess105.0ms (1.3%)

Memory: 14.1MiB live, 110.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 452 to 152 computations (66.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (19.1%)

explain136.0ms (1.7%)

preprocess198.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify142.0ms (1.8%)

localize34.0ms (0.4%)

series13.0ms (0.2%)

simplify255.0ms (3.3%)

rewrite353.0ms (4.5%)

eval86.0ms (1.1%)

prune43.0ms (0.5%)

simplify178.0ms (2.3%)

localize165.0ms (2.1%)

series61.0ms (0.8%)

simplify193.0ms (2.5%)

rewrite414.0ms (5.3%)

eval253.0ms (3.2%)

prune73.0ms (0.9%)

simplify184.0ms (2.4%)

localize133.0ms (1.7%)

series54.0ms (0.7%)

simplify218.0ms (2.8%)

rewrite207.0ms (2.6%)

eval136.0ms (1.7%)

prune47.0ms (0.6%)

simplify115.0ms (1.5%)

localize203.0ms (2.6%)

series34.0ms (0.4%)

simplify235.0ms (3%)

rewrite198.0ms (2.5%)

eval130.0ms (1.7%)

prune115.0ms (1.5%)

regimes161.0ms (2.1%)

regimes78.0ms (1%)

regimes52.0ms (0.7%)

regimes53.0ms (0.7%)

regimes56.0ms (0.7%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch52.0ms (0.7%)

bsearch32.0ms (0.4%)

bsearch55.0ms (0.7%)

bsearch58.0ms (0.7%)

simplify94.0ms (1.2%)

derivations897.0ms (11.5%)

preprocess105.0ms (1.3%)

end0.0ms (0%)

Profiling