Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze117.0ms (2.2%)

Memory

-0.4MiB live, 119.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	7
30.8%	25%	56.2%	0.1%	0%	18.7%	0%	8
32%	25%	53%	0.1%	0%	21.8%	0%	9
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	10
55.8%	37.4%	29.6%	0.1%	0%	32.8%	0%	11
57.8%	37.4%	27.3%	0.1%	0%	35.1%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.7s (32.1%)

Memory

-8.9MiB live, 1 451.0MiB allocated

Samples

732.0ms	8 256×	0	valid
343.0ms	2 379×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

ival-mult: 466.0ms (74.2% of total)

ival-sqrt: 84.0ms (13.4% of total)

ival-sub: 67.0ms (10.7% of total)

ival-true: 8.0ms (1.3% of total)

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

Bogosity

explain150.0ms (2.8%)

Memory

3.8MiB live, 123.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
146	-	3	(-3.0971346739892488e+199 -6.652968609886164e-159 1.5755044508015707e-278)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
16	-	0	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	0	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	oflow-rescue	129	0
↳	`(*.f64 y y)`	overflow	129
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	129
↳	`(*.f64 z z)`	overflow	16
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	16	0
↳	`(*.f64 y y)`	overflow	129
↳	`(*.f64 z z)`	overflow	16
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	14	0
↳	`(*.f64 y y)`	underflow	14
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	14
↳	`(*.f64 z z)`	underflow	101

Confusion

	Predicted +	Predicted -
+	107	3
-	36	110

Precision

0.7482517482517482

Recall

0.9727272727272728

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	107	0	3
-	36	0	110

Precision?

0.7482517482517482

Recall?

0.9727272727272728

Freqs

test

number	freq
0	113
1	127
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 116 to 36 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sqrt: 25.0ms (66.5% of total)

ival-mult: 10.0ms (26.6% of total)

ival-sub: 2.0ms (5.3% of total)

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

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

preprocess588.0ms (10.9%)

Memory

10.1MiB live, 249.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	108	93
2	221	93
3	608	93
4	1655	93
5	2753	93
6	3995	93
7	4670	93
8	5262	93
9	5561	93
10	5651	93
11	5747	93
12	5811	93
13	6963	93
14	7539	93
15	7635	93
16	7731	93
17	7827	93
18	7827	93
0	8	10
0	13	10
1	22	10
2	33	10
3	59	10
4	123	10
5	324	10
6	579	10
7	1254	10
8	2514	10
9	4177	10
10	5039	10
11	5408	10
12	5638	10
13	5752	10
14	5752	10
15	6712	10
16	6872	10
17	7192	10
18	7192	10
19	7592	10
20	7752	10
21	7832	10
22	7832	10
23	7832	10
0	10485	10

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Outputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)

Symmetry

(abs z)

(abs y)

(negabs x)

Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify330.0ms (6.1%)

Memory

27.7MiB live, 222.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	22	34
2	33	34
3	59	34
4	123	34
5	324	34
6	579	34
7	1254	34
8	2514	34
9	4177	34
10	5039	34
11	5408	34
12	5638	34
13	5752	34
14	5752	34
15	6712	34
16	6872	34
17	7192	34
18	7192	34
19	7592	34
20	7752	34
21	7832	34
22	7832	34
23	7832	34
0	10485	34

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

Outputs
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
x
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(-.f64 (.f64 y y) (.f64 z z))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 y y)
y
(*.f64 z z)
z

localize52.0ms (1%)

Memory

-14.4MiB live, 73.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	3.1875000000000004	(-.f64 (.f64 y y) (.f64 z z))
accuracy	33.66278349675751	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

43.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 32.0ms (89.6% of total)

ival-sqrt: 2.0ms (5.6% of total)

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

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

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

series14.0ms (0.3%)

Memory

-20.3MiB live, 17.3MiB allocated

Counts

4 → 51

Calls

Call 1

Inputs
(-.f64 (.f64 y y) (.f64 z z))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(*.f64 y y)

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* -1 (pow z 2))
(- (pow y 2) (pow z 2))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(+ (* -1 (pow z 2)) (pow y 2))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
(* -1 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
2.0ms	y	@	inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	z	@	inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	-inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))

simplify169.0ms (3.1%)

Memory

15.1MiB live, 203.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2459	1094
3	7917	1094
0	8151	1022

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

Inputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* -1 (pow z 2))
(- (pow y 2) (pow z 2))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(+ (* -1 (pow z 2)) (pow y 2))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
(* -1 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))))

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(- (pow y 2) (pow z 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(.f64 x (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(fma.f64 (.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (.f64 (/.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (.f64 y y)))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(fma.f64 x (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) z)) (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 #s(literal 1/16 binary64) (.f64 y y))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))))
(* z (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) #s(literal 1 binary64)) (.f64 y y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 z y) x) y)
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(.f64 (fma.f64 x (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) x) y)
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) x)) y)
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(fma.f64 (/.f64 y y) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)) y)
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) #s(literal 1 binary64))) y)
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) #s(literal 1 binary64)))) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) z) (/.f64 z y) x))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(.f64 (neg.f64 y) (fma.f64 x (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) x))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/16 binary64) x) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))) x)))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) #s(literal 1 binary64)))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) #s(literal 1 binary64))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) y) (/.f64 z y) #s(literal 1 binary64)))))
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) z) z (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 z z) (*.f64 x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 z z)) (/.f64 x (pow.f64 y #s(literal 5 binary64))) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (pow.f64 z #s(literal 4 binary64)) (.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(+ y (* -1/2 (/ (pow z 2) y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) z) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z) y)
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) z) (/.f64 z (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z) y)
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(.f64 (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64)) (.f64 z z))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(.f64 (.f64 x (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64)))) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (.f64 x (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))))) z)
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z))))) z)
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))) z)
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64)))) z)
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))))) z)
(* -1 (* x (* z (sqrt -1))))
(.f64 (.f64 (neg.f64 x) z) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(.f64 (neg.f64 z) (.f64 x (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (.f64 x (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
(.f64 (neg.f64 z) (fma.f64 x (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z))))))
(* -1 (* z (sqrt -1)))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 #s(literal -1 binary64))))))

rewrite229.0ms (4.2%)

Memory

10.2MiB live, 337.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Counts

4 → 332

Calls

Call 1

Inputs
(-.f64 (.f64 y y) (.f64 z z))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
(*.f64 y y)

Outputs
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 z z (.f64 y y))))))
(.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 (exp.f64 (log.f64 (+.f64 z y))) (exp.f64 (log.f64 (-.f64 y z))))
(*.f64 (exp.f64 (log.f64 (-.f64 y z))) (exp.f64 (log.f64 (+.f64 z y))))
(.f64 (pow.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 z z (*.f64 y y))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (-.f64 y z) (+.f64 z y)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (-.f64 y z) (fma.f64 z (+.f64 z y) (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 z z (*.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))) (fma.f64 z z (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 z #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (.f64 (fma.f64 z z (.f64 y y)) (pow.f64 z #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (.f64 (neg.f64 z) z) (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (hypot.f64 z y))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (hypot.f64 z y)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 z z (.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 8 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (hypot.f64 z y)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (pow.f64 y #s(literal 12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) (+.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 z y))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(exp.f64 (fma.f64 (log.f64 (.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 y z) (+.f64 z y))) #s(literal 1/2 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval44.0ms (0.8%)

Memory: -18.0MiB live, 105.4MiB allocated
Compiler: Compiled 12 269 to 1 729 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	5	382

Accuracy

100.0%

Counts

382 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	63.5%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	63.5%	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
▶	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 134 to 96 computations (28.4% saved)

simplify175.0ms (3.2%)

Memory

2.8MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z y)
cost-diff	0	(sqrt.f64 (+.f64 z y))
cost-diff	0	(*.f64 x (sqrt.f64 (+.f64 z y)))
cost-diff	0	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(sqrt.f64 (fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y)))
cost-diff	0	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
cost-diff	384	(fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y))
cost-diff	0	(-.f64 y z)
cost-diff	0	(*.f64 (-.f64 y z) (+.f64 z y))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
cost-diff	0	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
cost-diff	0	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	49	177
1	80	177
2	120	177
3	185	177
4	307	177
5	649	177
6	1572	177
7	3328	177
8	6161	177
0	8297	177

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2.3%)

Memory

-19.0MiB live, 107.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 (-.f64 y z))
accuracy	0.0	(sqrt.f64 (+.f64 z y))
accuracy	0.2421875	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.252948779305326	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
accuracy	0.0	(-.f64 y z)
accuracy	0.00390625	(*.f64 (-.f64 y z) y)
accuracy	0.00390625	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
accuracy	33.66278349675751	(sqrt.f64 (fma.f64 (-.f64 y z) z (*.f64 (-.f64 y z) y)))
accuracy	0.0	(+.f64 z y)
accuracy	0.0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.00390625	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	33.66278349675751	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0.0	(*.f64 x y)
accuracy	0.27723608118852117	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.00390625	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.13122088917039773	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))

Samples

106.0ms

256×

valid

Compiler

Compiled 356 to 59 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-sqrt: 47.0ms (52.1% of total)

ival-mult: 24.0ms (26.6% of total)

ival-sub: 14.0ms (15.5% of total)

ival-add: 3.0ms (3.3% of total)

ival-div: 2.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.9%)

Memory

21.5MiB live, 57.7MiB allocated

Counts

20 → 197

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ y z)))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y)
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(+ (* 1/2 (/ (* y (+ z (* -1 z))) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))) (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))))))) (* z (sqrt -1)))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* y (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* y (+ y (+ z (* -1 z)))))
(* -1 z)
(- y z)
(* x (sqrt z))
(+ (* 1/2 (* (* x y) (sqrt (/ 1 z)))) (* x (sqrt z)))
(+ (* x (sqrt z)) (* y (+ (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* x (sqrt (/ 1 z)))))))
(+ (* x (sqrt z)) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* x (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* y (sqrt (/ 1 z)))))
(+ (sqrt z) (* y (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* 1/2 (sqrt (/ 1 z))))))
(+ (sqrt z) (* y (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/16 (* y (sqrt (/ 1 (pow z 5))))))))))
z
(+ y z)
(/ z y)
(* -1 (* y z))
(* y (+ y (* -1 z)))
(* (sqrt z) (sqrt -1))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (/ y (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ y (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (sqrt z) (sqrt -1)))
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(* y (+ x (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2))))))
(* y (+ x (+ (* -1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2)))))))
(* y (+ 1 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 3))) (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2)))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))))
(* y (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x (sqrt y))
(* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y))))))
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))))
(* y (+ 1 (/ z y)))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* -1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3)))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1/2 (/ (+ z (* -1 z)) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) y)) y))))
(* -1 (* y (- (/ z y) 1)))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (* -1 z)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (+ (* -1 z) (/ (pow z 2) y))) y))))
(* -1 (* y (+ x (* -1/2 (/ (* x (+ z (* -1 z))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 (* y (+ 1 (* -1/2 (/ (+ z (* -1 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1/8 (* (/ (* x (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (/ (* x (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (* x (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* (pow z 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(+ y (* -1/2 (/ (pow z 2) y)))
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y)))))
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* -1/2 z)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(+ (* z (+ y (* -1 y))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
(+ y (* -1 z))
(+ (* 1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* z (+ (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* x (sqrt (/ 1 y)))))))
(+ (* x (sqrt y)) (* z (+ (* 1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
(+ (sqrt y) (* 1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* z (+ (* 1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(+ (* -1 (* y z)) (pow y 2))
(+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (+ y (* -1 y)) (* z (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* 1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/4 (/ (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* (pow z 2) (sqrt -1))))))))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (/ (pow y 2) (pow z 2)))) 1))
(* z (- (/ y z) 1))
(* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* x (sqrt (/ 1 z)))))
(* z (+ (* -1/8 (* (* x (pow y 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* x (sqrt (/ 1 z))))))
(* z (+ (* -1/8 (* (* x (pow y 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* x (pow y 3)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* x (sqrt (/ 1 z)))))))
(* z (+ (sqrt (/ 1 z)) (* 1/2 (* y (sqrt (/ 1 (pow z 3)))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow z 5))))) (* 1/2 (* y (sqrt (/ 1 (pow z 3))))))))
(* z (+ (sqrt (/ 1 z)) (+ (* -1/8 (* (pow y 2) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (pow y 3) (sqrt (/ 1 (pow z 7))))) (* 1/2 (* y (sqrt (/ 1 (pow z 3)))))))))
(* z (+ 1 (/ y z)))
(* z (+ (* -1 y) (/ (pow y 2) z)))
(* z (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
(* -1 (* z (sqrt -1)))
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))))
(* -1 (* z (+ (* -1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (sqrt -1)))) z)) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (+ (sqrt -1) (* -1/2 (/ (+ y (* -1 y)) (* z (sqrt -1)))))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (* z (sqrt -1)))) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))
(* -1 (* z (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))) (sqrt -1)))) z)) (* 1/2 (/ (+ y (* -1 y)) (sqrt -1)))) z)))))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) z)))) z)) 1))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (* x (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ y (* -1 (/ (pow y 2) z)))))
(* -1 (* (sqrt z) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (* (- y z) y) (sqrt (- y z)))
7.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (* (- y z) y) (sqrt (- y z)))
5.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (* (- y z) y) (sqrt (- y z)))
5.0ms	z	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (* (- y z) y) (sqrt (- y z)))
4.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (+ (* (- y z) z) (* (- y z) y)) (* x (sqrt (+ (* (- y z) z) (* (- y z) y)))) (sqrt (+ (* (- y z) z) (* (- y z) y))) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (* (- y z) y) (sqrt (- y z)))

simplify176.0ms (3.3%)

Memory

-19.4MiB live, 252.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	974	5136
1	3317	4288
0	8734	4033

Stop Event

1×	iter limit
1×	node limit

Counts

197 → 195

Calls

Call 1

Inputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x (sqrt (* (+ y z) (- y z))))
(* x (sqrt (+ (* y (- y z)) (* z (- y z)))))
(* x (sqrt (+ y z)))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5)))))))))
(* z (sqrt -1))
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1)))))))
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y)
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(+ (* 1/2 (/ (* y (+ z (* -1 z))) (* z (sqrt -1)))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))) (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))))) (* z (sqrt -1)))
(+ (* y (+ (* 1/2 (/ (+ z (* -1 z)) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))))))) (* z (sqrt -1)))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (* y (+ z (* -1 z))))
(+ (* -1 (pow z 2)) (* y (+ y (+ z (* -1 z)))))
(* -1 z)
(- y z)
(* x (sqrt z))
(+ (* 1/2 (* (* x y) (sqrt (/ 1 z)))) (* x (sqrt z)))
(+ (* x (sqrt z)) (* y (+ (* -1/8 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* x (sqrt (/ 1 z)))))))
(+ (* x (sqrt z)) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* x (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (* x y) (sqrt (/ 1 (pow z 5))))))))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* y (sqrt (/ 1 z)))))
(+ (sqrt z) (* y (+ (* -1/8 (* y (sqrt (/ 1 (pow z 3))))) (* 1/2 (sqrt (/ 1 z))))))
(+ (sqrt z) (* y (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ (* -1/8 (sqrt (/ 1 (pow z 3)))) (* 1/16 (* y (sqrt (/ 1 (pow z 5))))))))))
z
(+ y z)
(/ z y)
(* -1 (* y z))
(* y (+ y (* -1 z)))
(* (sqrt z) (sqrt -1))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (/ y (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ y (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (sqrt z) (sqrt -1)))
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))
y
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(* y (+ x (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2))))))
(* y (+ x (+ (* -1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2)))))))
(* y (+ 1 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 3))) (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) (pow y 2)))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))))
(* y (+ 1 (* -1 (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* x (sqrt y))
(* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y))))))
(* y (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) z))))))
(* y (+ 1 (/ z y)))
(* (pow y 2) (+ 1 (* -1 (/ z y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* -1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3)))))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))))
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))))
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1/2 (/ (+ z (* -1 z)) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) y)) (* 1/2 (+ z (* -1 z)))) y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (/ (pow z 2) y)) y))))
(* -1 (* y (- (/ z y) 1)))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (* -1 z)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ z (+ (* -1 z) (/ (pow z 2) y))) y))))
(* -1 (* y (+ x (* -1/2 (/ (* x (+ z (* -1 z))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 (* y (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)))))
(* -1 (* y (+ 1 (* -1/2 (/ (+ z (* -1 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) y)) (* 1/2 (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) y)) (* 1/2 (+ z (* -1 z)))) y)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1/8 (* (/ (* x (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (/ (* x (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (* x (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* (pow z 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3))))))
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))))))
(+ y (* -1/2 (/ (pow z 2) y)))
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(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))
(* -1/2 z)
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(+ y (* 1/2 (/ (* z (+ y (* -1 y))) y)))
(+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y)))))
(+ y (* z (+ (* 1/2 (/ (+ y (* -1 y)) y)) (* z (+ (* -1/2 (/ (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) y)) (* 1/4 (/ (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y)))) (pow y 3))))))))
(+ (* z (+ y (* -1 y))) (pow y 2))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (pow y 2))
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(+ (* 1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
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(+ (* x (sqrt y)) (* z (+ (* 1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
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(+ (* -1 (* y z)) (pow y 2))
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(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
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(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))))
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(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (* x (pow y 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x y) (sqrt (/ 1 (pow z 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))
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(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* y (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))
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(* -1 (* z (+ y (* -1 (/ (pow y 2) z)))))
(* -1 (* (sqrt z) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
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Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x y)
(*.f64 y x)
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
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(.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x)
(* x (sqrt (+ y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) x)
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 y y) x) z) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1)))))))
(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) x)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (.f64 y y)))
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(* z (sqrt -1))
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(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y)
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(fma.f64 (.f64 z x) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x z) (+.f64 (/.f64 (+.f64 y (.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)) y)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) y))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
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(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))) y (/.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) z))) y (.f64 (sqrt.f64 #s(literal -1 binary64)) z))
(* -1 (pow z 2))
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(+ (* -1 (pow z 2)) (* y (+ z (* -1 z))))
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(+ (* -1 (pow z 2)) (* y (+ y (+ z (* -1 z)))))
(*.f64 (-.f64 y z) (+.f64 z y))
(* -1 z)
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(* x (sqrt z))
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(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* 1/2 (* y (sqrt (/ 1 z)))))
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(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))

rewrite359.0ms (6.6%)

Memory

-118.6MiB live, 317.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	49	152
1	149	152
2	943	152
0	8573	152

Stop Event

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

Counts

20 → 1 055

Calls

Call 1

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

Outputs
(.f64 #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)) x)
(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))
(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) y))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)))) (.f64 (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (fma.f64 (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)))) (neg.f64 (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)) (.f64 y y))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))))
(/.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)))) (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64))) (fma.f64 y y (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)))) (fma.f64 (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (neg.f64 y) y)) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64))))))))
(fma.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y) y)
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 z (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) y) y)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z y)
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z y)
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 z z)) (/.f64 #s(literal -1 binary64) y) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) z) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) y)
(fma.f64 #s(literal 1 binary64) y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 z y) (/.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64))) y)
(fma.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z) y)
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) z) y)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)
(fma.f64 z (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) y)
(fma.f64 y #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(-.f64 (/.f64 (.f64 y y) (+.f64 y (.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 y (.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (neg.f64 y))) (neg.f64 (/.f64 (.f64 (neg.f64 y) y) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) y)
(+.f64 y (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) z))
(.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)))
(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (+.f64 z y)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (sqrt.f64 (+.f64 z y)))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 (sqrt.f64 (+.f64 z y)) x))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 y z)))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 x (sqrt.f64 (-.f64 y z))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 z y)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (.f64 (.f64 (+.f64 z y) (-.f64 y z)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (fma.f64 (*.f64 (neg.f64 z) z) y (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) z) (+.f64 z y))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(fma.f64 (.f64 y #s(literal -1 binary64)) z (.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 y) z))
(fma.f64 #s(literal -1 binary64) (.f64 z y) (.f64 y y))
(fma.f64 (neg.f64 y) z (*.f64 y y))
(fma.f64 (neg.f64 z) y (*.f64 y y))
(fma.f64 z (neg.f64 y) (*.f64 y y))
(fma.f64 y (neg.f64 z) (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 y) z))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (+.f64 z y))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (*.f64 y (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (.f64 y y) z) (+.f64 z y)))) (/.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (*.f64 y y) z) (+.f64 z y)))))
(-.f64 (.f64 y y) (.f64 z y))
(+.f64 (.f64 (neg.f64 y) z) (.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 y) z))
(.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (sqrt.f64 (-.f64 z y)))
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 y z) y (.f64 z z))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 z y)))
(.f64 (pow.f64 (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y z) y (.f64 z z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 z y) (.f64 y y)))))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 z (+.f64 z y) (.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (/.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (/.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z y))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) (sqrt.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 y z))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (sqrt.f64 (+.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y)))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 z z)))) (sqrt.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) (-.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 (.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 z y) (fma.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) y) (-.f64 y z) (pow.f64 (.f64 (-.f64 y z) z) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 y) y (*.f64 z z))) (sqrt.f64 (neg.f64 (+.f64 z y))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (neg.f64 z) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (sqrt.f64 (+.f64 z y)))
(sqrt.f64 (-.f64 y z))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 (+.f64 z y) (-.f64 y z))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))

eval155.0ms (2.9%)

Memory: 47.0MiB live, 309.6MiB allocated
Compiler: Compiled 39 763 to 5 320 computations (86.6% saved)

prune20.0ms (0.4%)

Memory

-5.1MiB live, 72.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 298	1	1 299
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	1 298	6	1 304

Accuracy

100.0%

Counts

1 304 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	63.5%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	63.5%	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
✓	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	99.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 85 to 59 computations (30.6% saved)

simplify10.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 y z))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 y z)) x)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
cost-diff	12800	(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
0	18	55
1	28	49
2	52	48
3	76	48
4	85	48
5	106	48
6	136	48
7	164	48
8	216	48
9	240	48
10	260	48
11	262	48
0	262	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
y
z
x
(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))
(+.f64 z y)
#s(literal 1/4 binary64)

Outputs
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))) x)
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(*.f64 x (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
y
z
x
(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))
(+.f64 z y)
#s(literal 1/4 binary64)

localize41.0ms (0.8%)

Memory

-15.3MiB live, 67.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))
accuracy	0.25	(*.f64 (sqrt.f64 (-.f64 y z)) x)
accuracy	0.28125	(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
accuracy	0.30078125	(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))

Samples

28.0ms

256×

valid

Compiler

Compiled 112 to 24 computations (78.6% saved)

Precisions

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

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

ival-mult: 4.0ms (26.8% of total)

ival-sub: 2.0ms (13.4% of total)

ival-sqrt: 2.0ms (13.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series88.0ms (1.6%)

Memory

1.8MiB live, 131.5MiB allocated

Counts

5 → 111

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(sqrt.f64 (-.f64 y z))
(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))

Outputs
(* x (sqrt (* (+ y z) (- y z))))
(* (pow (* 1 (+ y z)) 1/4) (* x (sqrt (- y z))))
(* x (sqrt (- y z)))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1)))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (+ (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))) (* y (+ (* -1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* -3/32 (* (pow (/ 1 (pow z 5)) 1/4) (* x (sqrt -1)))) (* 1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (sqrt -1)))))))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (+ (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))) (* y (+ (* -1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* -3/32 (* (pow (/ 1 (pow z 5)) 1/4) (* x (sqrt -1)))) (+ (* 1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (sqrt -1)))) (* y (+ (* -3/64 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (sqrt -1)))) (+ (* -1/32 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* 7/128 (* (pow (/ 1 (pow z 9)) 1/4) (* x (sqrt -1)))) (* 1/16 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (pow (sqrt -1) 5))))))))))))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(* (* x (sqrt -1)) (sqrt z))
(+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 z)))) (* (* x (sqrt -1)) (sqrt z)))
(+ (* y (+ (* -1/8 (* (/ (* x y) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))))) (* (* x (sqrt -1)) (sqrt z)))
(+ (* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (/ (* x y) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (* x (sqrt -1)) (sqrt z)))
(* (sqrt z) (sqrt -1))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (/ y (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ y (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (sqrt z) (sqrt -1)))
(pow (* 1 z) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow z 3)) 1/4) y)) (pow (* 1 z) 1/4))
(+ (* y (+ (* -3/32 (* (pow (/ 1 (pow z 7)) 1/4) y)) (* 1/4 (pow (/ 1 (pow z 3)) 1/4)))) (pow (* 1 z) 1/4))
(+ (* y (+ (* 1/4 (pow (/ 1 (pow z 3)) 1/4)) (* y (+ (* -3/32 (pow (/ 1 (pow z 7)) 1/4)) (* 7/128 (* (pow (/ 1 (pow z 11)) 1/4) y)))))) (pow (* 1 z) 1/4))
(* x y)
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
(* y (+ x (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2))))))
(* y (+ x (+ (* -1/4 (/ (* x (* (+ z (* -1 z)) (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2))))) (pow y 3))) (+ (* 1/2 (/ (* x (+ z (* -1 z))) y)) (* 1/2 (/ (* x (- (* -1 (pow z 2)) (* 1/4 (pow (+ z (* -1 z)) 2)))) (pow y 2)))))))
(* (pow (* 1 (pow y 3)) 1/4) x)
(* y (+ (* 1/4 (* (pow (/ 1 (pow y 5)) 1/4) (* x z))) (* (pow (/ 1 y) 1/4) x)))
(* y (+ (* -1/2 (* (pow (/ 1 (pow y 5)) 1/4) (* x z))) (+ (* 1/4 (* (pow (/ 1 (pow y 5)) 1/4) (* x z))) (+ (* (pow (/ 1 y) 1/4) x) (* (pow (/ 1 (pow y 9)) 1/4) (* x (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))))))))
(* y (+ (* -1/2 (* (pow (/ 1 (pow y 5)) 1/4) (* x z))) (+ (* -1/8 (* (pow (/ 1 (pow y 9)) 1/4) (* x (pow z 2)))) (+ (* 1/4 (* (pow (/ 1 (pow y 5)) 1/4) (* x z))) (+ (* (pow (/ 1 y) 1/4) x) (+ (* (pow (/ 1 (pow y 9)) 1/4) (* x (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2))))) (* (pow (/ 1 (pow y 13)) 1/4) (* x (+ (* -1/32 (pow z 3)) (+ (* 1/384 (pow z 3)) (* 1/12 (pow z 3))))))))))))
(* x (sqrt y))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (* x (sqrt (/ 1 y))))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (* x (sqrt (/ 1 y)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))) (* -1/16 (* (sqrt (/ 1 (pow y 7))) (pow z 3)))))))
(pow (* 1 y) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) z)) (pow (* 1 y) 1/4))
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) z)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) (pow (* 1 y) 1/4)))
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) z)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) (+ (* (pow (/ 1 (pow y 11)) 1/4) (+ (* -1/32 (pow z 3)) (+ (* 1/384 (pow z 3)) (* 1/12 (pow z 3))))) (pow (* 1 y) 1/4))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt y)))
(* -1 (* y (+ (* 1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow y 3))))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))))) (sqrt (/ 1 y)))) y)) (* -1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 y))))) y)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* x (* (pow z 2) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/12 (pow z 3)) (+ (* -1/384 (pow z 3)) (* 1/32 (pow z 3))))))) (sqrt (/ 1 y)))) y)) (+ (* 1/2 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))))) (sqrt (/ 1 y))))) y)) (* -1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 y))))) y)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* (pow z 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* 1/4 (/ (* z (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) y)) (* -1/4 (* z (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/12 (pow z 3)) (+ (* -1/384 (pow z 3)) (* 1/32 (pow z 3))))) y)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2))))) y)) (* -1/4 (* z (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (* 1/4 (* (pow (/ 1 y) 1/4) x)))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (+ (* 1/4 (* (pow (/ 1 y) 1/4) x)) (* z (+ (* -1/4 (* (pow (/ 1 (pow y 5)) 1/4) x)) (* -3/32 (* (pow (/ 1 (pow y 5)) 1/4) x))))))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (+ (* 1/4 (* (pow (/ 1 y) 1/4) x)) (* z (+ (* -1/4 (* (pow (/ 1 (pow y 5)) 1/4) x)) (+ (* -3/32 (* (pow (/ 1 (pow y 5)) 1/4) x)) (* z (+ (* -1/16 (* (pow (/ 1 (pow y 9)) 1/4) x)) (+ (* -1/32 (* (pow (/ 1 (pow y 9)) 1/4) x)) (+ (* 3/64 (* (pow (/ 1 (pow y 9)) 1/4) x)) (* 7/128 (* (pow (/ 1 (pow y 9)) 1/4) x)))))))))))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* -1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3))))))))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* -1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
(+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(+ (* z (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) z)) (* 1/4 (pow (/ 1 (pow y 3)) 1/4)))) (pow (* 1 y) 1/4))
(+ (* z (+ (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (* z (+ (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) (* 7/128 (* (pow (/ 1 (pow y 11)) 1/4) z)))))) (pow (* 1 y) 1/4))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))))
(* z (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (pow (/ 1 (pow z 5)) 1/4) (/ (* x y) (sqrt -1)))) (+ (* (pow (/ 1 z) 1/4) (* x (sqrt -1))) (* (pow (/ 1 (pow z 9)) 1/4) (* x (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))))))))
(* z (+ (* 1/8 (* (pow (/ 1 (pow z 9)) 1/4) (/ (* x (pow y 2)) (sqrt -1)))) (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (pow (/ 1 (pow z 5)) 1/4) (/ (* x y) (sqrt -1)))) (+ (* (pow (/ 1 z) 1/4) (* x (sqrt -1))) (+ (* (pow (/ 1 (pow z 9)) 1/4) (* x (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (* (pow (/ 1 (pow z 13)) 1/4) (* x (* (sqrt -1) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3)))))))))))))
(* z (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))
(* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))
(* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (* x (pow y 3)) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(* z (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(+ (* 1/4 (* (pow (/ 1 (pow z 3)) 1/4) y)) (+ (* (pow (/ 1 (pow z 7)) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (pow (* 1 z) 1/4)))
(+ (* 1/4 (* (pow (/ 1 (pow z 3)) 1/4) y)) (+ (* (pow (/ 1 (pow z 7)) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (+ (* (pow (/ 1 (pow z 11)) 1/4) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3))))) (pow (* 1 z) 1/4))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* -1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (sqrt -1)))) z)) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt z)))
(* -1 (* z (+ (* 1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 (pow z 3))))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (sqrt (/ 1 z)))) z)) (* -1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 z))))) z)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* x (* (pow y 2) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))))) (sqrt (/ 1 z)))) z)) (+ (* 1/2 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (sqrt (/ 1 z))))) z)) (* -1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 z))))) z)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* (* x (sqrt -1)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* x (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))))
(* -1 (* (sqrt z) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* 1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))) z)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	((* (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (pow (+ z y) 1/4)) (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (* (sqrt (- y z)) x) (sqrt (- y z)) (pow (+ z y) 1/4))
14.0ms	x	@	-inf	((* (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (pow (+ z y) 1/4)) (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (* (sqrt (- y z)) x) (sqrt (- y z)) (pow (+ z y) 1/4))
7.0ms	x	@	inf	((* (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (pow (+ z y) 1/4)) (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (* (sqrt (- y z)) x) (sqrt (- y z)) (pow (+ z y) 1/4))
4.0ms	y	@	0	((* (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (pow (+ z y) 1/4)) (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (* (sqrt (- y z)) x) (sqrt (- y z)) (pow (+ z y) 1/4))
3.0ms	y	@	-inf	((* (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (pow (+ z y) 1/4)) (* (* (sqrt (- y z)) x) (pow (+ z y) 1/4)) (* (sqrt (- y z)) x) (sqrt (- y z)) (pow (+ z y) 1/4))

simplify197.0ms (3.6%)

Memory

-19.7MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	865	4477
1	2927	3928
0	8588	3747

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 111

Calls

Call 1

Inputs
(* x (sqrt (* (+ y z) (- y z))))
(* (pow (* 1 (+ y z)) 1/4) (* x (sqrt (- y z))))
(* x (sqrt (- y z)))
(* x (* z (sqrt -1)))
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1)))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (+ (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))) (* y (+ (* -1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* -3/32 (* (pow (/ 1 (pow z 5)) 1/4) (* x (sqrt -1)))) (* 1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (sqrt -1)))))))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(+ (* y (+ (* 1/4 (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))) (+ (* 1/2 (* (pow (/ 1 z) 1/4) (/ x (sqrt -1)))) (* y (+ (* -1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* -3/32 (* (pow (/ 1 (pow z 5)) 1/4) (* x (sqrt -1)))) (+ (* 1/8 (* (pow (/ 1 (pow z 5)) 1/4) (/ x (sqrt -1)))) (* y (+ (* -3/64 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (sqrt -1)))) (+ (* -1/32 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (pow (sqrt -1) 3)))) (+ (* 7/128 (* (pow (/ 1 (pow z 9)) 1/4) (* x (sqrt -1)))) (* 1/16 (* (pow (/ 1 (pow z 9)) 1/4) (/ x (pow (sqrt -1) 5))))))))))))))) (* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1))))
(* (* x (sqrt -1)) (sqrt z))
(+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 z)))) (* (* x (sqrt -1)) (sqrt z)))
(+ (* y (+ (* -1/8 (* (/ (* x y) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))))) (* (* x (sqrt -1)) (sqrt z)))
(+ (* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 z)))) (* y (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/16 (* (/ (* x y) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (* x (sqrt -1)) (sqrt z)))
(* (sqrt z) (sqrt -1))
(+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 z)))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (/ y (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 3))))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))))) (* (sqrt z) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow z 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ y (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 5))))))))) (* (sqrt z) (sqrt -1)))
(pow (* 1 z) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow z 3)) 1/4) y)) (pow (* 1 z) 1/4))
(+ (* y (+ (* -3/32 (* (pow (/ 1 (pow z 7)) 1/4) y)) (* 1/4 (pow (/ 1 (pow z 3)) 1/4)))) (pow (* 1 z) 1/4))
(+ (* y (+ (* 1/4 (pow (/ 1 (pow z 3)) 1/4)) (* y (+ (* -3/32 (pow (/ 1 (pow z 7)) 1/4)) (* 7/128 (* (pow (/ 1 (pow z 11)) 1/4) y)))))) (pow (* 1 z) 1/4))
(* x y)
(* y (+ x (* 1/2 (/ (* x (+ z (* -1 z))) y))))
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(* (pow (* 1 (pow y 3)) 1/4) x)
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(* x (sqrt y))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (* x (sqrt (/ 1 y)))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (* x (sqrt (/ 1 y))))))
(* y (+ (* -1/2 (* (* x z) (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (* x (pow z 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (* x (pow z 3)) (sqrt (/ 1 (pow y 7))))) (* x (sqrt (/ 1 y)))))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* (sqrt (/ 1 (pow y 3))) z))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) z)) (* -1/8 (* (sqrt (/ 1 (pow y 5))) (pow z 2))))))
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(pow (* 1 y) 1/4)
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(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) z)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) (pow (* 1 y) 1/4)))
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) z)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) (+ (* (pow (/ 1 (pow y 11)) 1/4) (+ (* -1/32 (pow z 3)) (+ (* 1/384 (pow z 3)) (* 1/12 (pow z 3))))) (pow (* 1 y) 1/4))))
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(* -1 (* y (+ (* -1/2 (/ (* x (+ z (* -1 z))) y)) (* x (pow (sqrt -1) 2)))))
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(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ z (* -1 z)) (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2)))))) (* y (pow (sqrt -1) 2)))) (* 1/2 (* x (- (pow z 2) (* 1/4 (/ (pow (+ z (* -1 z)) 2) (pow (sqrt -1) 2))))))) y)) (* 1/2 (* x (+ z (* -1 z))))) y)) (* x (pow (sqrt -1) 2)))))
(* -1 (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt y)))
(* -1 (* y (+ (* 1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 (pow y 3))))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))))) (sqrt (/ 1 y)))) y)) (* -1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 y))))) y)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* x (* (pow z 2) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/12 (pow z 3)) (+ (* -1/384 (pow z 3)) (* 1/32 (pow z 3))))))) (sqrt (/ 1 y)))) y)) (+ (* 1/2 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt y))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* (pow (sqrt -1) 2) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))))) (sqrt (/ 1 y))))) y)) (* -1/4 (* (* x (* z (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (sqrt (/ 1 y))))) y)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2))) (sqrt (/ 1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
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(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (* x (* (pow z 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* x (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* z (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 3))))) (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ 1 (pow y 5))) (* (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow y 7))) (* (pow z 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (* z (pow (sqrt -1) 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
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(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2)))) y)) (* -1/4 (* z (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/12 (pow z 3)) (+ (* -1/384 (pow z 3)) (* 1/32 (pow z 3))))) y)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow z 2)) (* 1/32 (pow z 2))))) y)) (* -1/4 (* z (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (* 1/2 (/ (* x (* z (+ y (* -1 y)))) y)) (* x y))
(+ (* x y) (* z (+ (* -1/2 (/ (* x (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) y)) (* 1/2 (/ (* x (+ y (* -1 y))) y)))))
(+ (* x y) (* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) y)) (* z (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/4 (/ (* x (* z (* (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))) (+ y (* -1 y))))) (pow y 3))))))))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (* 1/4 (* (pow (/ 1 y) 1/4) x)))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (+ (* 1/4 (* (pow (/ 1 y) 1/4) x)) (* z (+ (* -1/4 (* (pow (/ 1 (pow y 5)) 1/4) x)) (* -3/32 (* (pow (/ 1 (pow y 5)) 1/4) x))))))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* z (+ (* -1/2 (* (pow (/ 1 y) 1/4) x)) (+ (* 1/4 (* (pow (/ 1 y) 1/4) x)) (* z (+ (* -1/4 (* (pow (/ 1 (pow y 5)) 1/4) x)) (+ (* -3/32 (* (pow (/ 1 (pow y 5)) 1/4) x)) (* z (+ (* -1/16 (* (pow (/ 1 (pow y 9)) 1/4) x)) (+ (* -1/32 (* (pow (/ 1 (pow y 9)) 1/4) x)) (+ (* 3/64 (* (pow (/ 1 (pow y 9)) 1/4) x)) (* 7/128 (* (pow (/ 1 (pow y 9)) 1/4) x)))))))))))) (* (pow (* 1 (pow y 3)) 1/4) x))
(+ (* -1/2 (* (* x z) (sqrt (/ 1 y)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* -1/8 (* (* x z) (sqrt (/ 1 (pow y 3))))))))
(+ (* x (sqrt y)) (* z (+ (* -1/2 (* x (sqrt (/ 1 y)))) (* z (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* -1/16 (* (* x z) (sqrt (/ 1 (pow y 5))))))))))
(+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* (sqrt (/ 1 (pow y 3))) z)))))
(+ (sqrt y) (* z (+ (* -1/2 (sqrt (/ 1 y))) (* z (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* (sqrt (/ 1 (pow y 5))) z)))))))
(+ (* z (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) z)) (* 1/4 (pow (/ 1 (pow y 3)) 1/4)))) (pow (* 1 y) 1/4))
(+ (* z (+ (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (* z (+ (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) (* 7/128 (* (pow (/ 1 (pow y 11)) 1/4) z)))))) (pow (* 1 y) 1/4))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1))))
(* z (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))
(* z (+ (* -1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (+ (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))
(* z (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (* (pow (/ 1 z) 1/4) (* x (sqrt -1)))))
(* z (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (pow (/ 1 (pow z 5)) 1/4) (/ (* x y) (sqrt -1)))) (+ (* (pow (/ 1 z) 1/4) (* x (sqrt -1))) (* (pow (/ 1 (pow z 9)) 1/4) (* x (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))))))))
(* z (+ (* 1/8 (* (pow (/ 1 (pow z 9)) 1/4) (/ (* x (pow y 2)) (sqrt -1)))) (+ (* 1/4 (* (pow (/ 1 (pow z 5)) 1/4) (* x (* y (sqrt -1))))) (+ (* 1/2 (* (pow (/ 1 (pow z 5)) 1/4) (/ (* x y) (sqrt -1)))) (+ (* (pow (/ 1 z) 1/4) (* x (sqrt -1))) (+ (* (pow (/ 1 (pow z 9)) 1/4) (* x (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (* (pow (/ 1 (pow z 13)) 1/4) (* x (* (sqrt -1) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3)))))))))))))
(* z (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))
(* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))
(* z (+ (* -1/8 (* (/ (* x (pow y 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (* x (pow y 3)) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (/ (* x y) (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(* z (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* z (+ (* -1/8 (* (/ (pow y 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (/ (pow y 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (/ y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
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(+ (* 1/4 (* (pow (/ 1 (pow z 3)) 1/4) y)) (+ (* (pow (/ 1 (pow z 7)) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (+ (* (pow (/ 1 (pow z 11)) 1/4) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3))))) (pow (* 1 z) 1/4))))
(* -1 (* x (* z (sqrt -1))))
(* -1 (* z (+ (* -1/2 (/ (* x (+ y (* -1 y))) (* z (sqrt -1)))) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (* (+ y (* -1 y)) (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2)))))) (* z (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- (pow y 2) (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow (sqrt -1) 2))))) (sqrt -1)))) z)) (* 1/2 (/ (* x (+ y (* -1 y))) (sqrt -1)))) z)) (* x (sqrt -1)))))
(* -1 (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt z)))
(* -1 (* z (+ (* 1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 (pow z 3))))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (sqrt (/ 1 z)))) z)) (* -1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 z))))) z)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* x (* (pow y 2) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))))) (sqrt (/ 1 z)))) z)) (+ (* 1/2 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt z))) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* (sqrt -1) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))))) (sqrt (/ 1 z))))) z)) (* -1/4 (* (* x (* y (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1)))) (sqrt (/ 1 z))))) z)) (* (* x (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (sqrt -1))) (sqrt (/ 1 z))))))
(* -1 (* (* x (sqrt -1)) (sqrt z)))
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* x (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))))
(* -1 (* (sqrt z) (sqrt -1)))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* 1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))) z)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))

Outputs
(* x (sqrt (* (+ y z) (- y z))))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
(* (pow (* 1 (+ y z)) 1/4) (* x (sqrt (- y z))))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (-.f64 y z)))
(* x (sqrt (- y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(* x (* z (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)
(+ (* 1/2 (/ (* x (* y (+ z (* -1 z)))) (* z (sqrt -1)))) (* x (* z (sqrt -1))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (* y (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2))))))) (* z (sqrt -1)))) (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))))))
(fma.f64 (.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x z) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))) y))
(+ (* x (* z (sqrt -1))) (* y (+ (* 1/2 (/ (* x (+ z (* -1 z))) (* z (sqrt -1)))) (* y (+ (* -1/4 (/ (* x (* y (* (+ z (* -1 z)) (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))))) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (- 1 (* 1/4 (/ (pow (+ z (* -1 z)) 2) (* (pow z 2) (pow (sqrt -1) 2)))))) (* z (sqrt -1)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 x z)) (.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (.f64 z z))) (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) y (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))) y (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) x))
(* (pow (* 1 (pow z 3)) 1/4) (* x (sqrt -1)))
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(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* x (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* x (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (pow z 3))))) (* (* x (sqrt -1)) (sqrt (/ 1 z))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))) (neg.f64 z))
(* -1 (* (sqrt z) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z))
(* -1 (* z (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(* -1 (* z (+ (* -1/8 (* (* (pow y 2) (sqrt -1)) (sqrt (/ 1 (pow z 5))))) (+ (* 1/16 (* (* (pow y 3) (sqrt -1)) (sqrt (/ 1 (pow z 7))))) (+ (* 1/2 (* (* y (sqrt -1)) (sqrt (/ 1 (pow z 3))))) (* (sqrt (/ 1 z)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 z))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* 1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))) z)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 y z)) #s(literal 1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (.f64 (.f64 y y) #s(literal -3/32 binary64))) (neg.f64 z))) z))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))) z)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) z)) (* -1/4 (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 z))))))))) z)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z)))) (.f64 (.f64 y y) #s(literal -3/32 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -7/128 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))))) (neg.f64 z))) (neg.f64 z))) z))

rewrite143.0ms (2.6%)

Memory

-3.4MiB live, 157.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	59	39
2	325	37
3	3539	37
0	8580	37

Stop Event

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

Counts

5 → 156

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(sqrt.f64 (-.f64 y z))
(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))

Outputs
(.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)) (.f64 x (sqrt.f64 (-.f64 y z)))) (pow.f64 (+.f64 z y) #s(literal 1/16 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z)))) x)
(.f64 (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)) (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z))))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 y z)))
(.f64 (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)) (*.f64 x (sqrt.f64 (-.f64 y z)))) (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z))) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)) (.f64 x (sqrt.f64 (-.f64 y z))))))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) x)
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z))))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 x (sqrt.f64 (-.f64 y z))))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) (.f64 (pow.f64 (+.f64 z y) #s(literal 3/8 binary64)) (*.f64 x (sqrt.f64 (-.f64 y z)))))
(.f64 (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (-.f64 y z))))
(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (+.f64 z y)))
(.f64 x (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 (sqrt.f64 (+.f64 z y)) x))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (sqrt.f64 (+.f64 z y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (+.f64 z y)) x)) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(.f64 (.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 1/16 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) (sqrt.f64 (-.f64 y z))))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z))) x)
(.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) (.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z)))))
(.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (-.f64 y z)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) (.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) x) (sqrt.f64 (-.f64 y z))))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (.f64 x (sqrt.f64 (-.f64 y z))))
(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 x (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z))))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x)) (sqrt.f64 (+.f64 z y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x)) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (sqrt.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(.f64 (.f64 x (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) x))
(*.f64 x (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) x)
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) x) (sqrt.f64 (fma.f64 (+.f64 z y) z (.f64 y y))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) x) (sqrt.f64 (+.f64 z y)))
(/.f64 (.f64 x (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 z y) z (.f64 y y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 z y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z y) z) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 (-.f64 y z) y) (.f64 z z))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (+.f64 z y) z) (-.f64 (.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 z y)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 z y) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(.f64 (pow.f64 (/.f64 (+.f64 z y) (.f64 (-.f64 z y) (+.f64 z y))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y z) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 y z) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (.f64 y y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (/.f64 (-.f64 y z) (-.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y z) (-.f64 z y))) (sqrt.f64 (-.f64 z y)))
(.f64 (sqrt.f64 (fma.f64 (-.f64 y z) y (.f64 z z))) (sqrt.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(.f64 (pow.f64 (+.f64 z y) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))))
(.f64 (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1/2 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (.f64 (-.f64 z y) (+.f64 z y))) (pow.f64 (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (.f64 y y))) (pow.f64 (+.f64 z y) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 z y) z (.f64 y y))) (pow.f64 (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 z y) z (.f64 y y))) (pow.f64 (.f64 (-.f64 y z) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (/.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y z)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (neg.f64 (sqrt.f64 (+.f64 z y))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 z y) (+.f64 z y))) (sqrt.f64 (neg.f64 (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (sqrt.f64 (+.f64 z y)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(sqrt.f64 (-.f64 y z))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))) (.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))) (.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))) (.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))) #s(literal 1/8 binary64)) (pow.f64 (-.f64 z y) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y z) y) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 z z) (.f64 (-.f64 y z) y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y z) y) (-.f64 (.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 z y) (/.f64 (-.f64 y z) (-.f64 z y))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y z) (-.f64 z y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 z y) (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (*.f64 z z))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 z y) (+.f64 z y)) (*.f64 (-.f64 z y) (+.f64 z y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 3/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 z y) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y z) (pow.f64 (fma.f64 (+.f64 z y) z (.f64 y y)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 z y) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 (-.f64 z y) (+.f64 z y)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (-.f64 z y)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (fma.f64 (-.f64 y z) y (.f64 z z))))))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 3/16 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 z y) (fma.f64 (-.f64 y z) y (*.f64 z z))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 z y) #s(literal -1/4 binary64)) (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 z y) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 z y) (+.f64 z y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (+.f64 z y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1 binary64)) (+.f64 z y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 z y) (-.f64 z y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 z y) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (+.f64 z y)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (+.f64 z y)))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 z y) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 y z))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 (-.f64 z y) (+.f64 z y)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 z y))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (+.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))))

eval54.0ms (1%)

Memory: 8.7MiB live, 90.4MiB allocated
Compiler: Compiled 12 986 to 1 700 computations (86.9% saved)

prune7.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	345	6	351

Accuracy

100.0%

Counts

351 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	63.5%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	63.5%	(.f64 x (sqrt.f64 (fma.f64 (-.f64 y z) z (.f64 (-.f64 y z) y))))
✓	99.8%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	99.6%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 180 to 98 computations (45.6% saved)

regimes21.0ms (0.4%)

Memory

2.2MiB live, 41.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(-.f64 (.f64 y y) (.f64 z z))
3.0ms	x
3.0ms	y
3.0ms	z
2.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.8%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.8%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.8%	1	`(*.f64 y y)`
99.8%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes12.0ms (0.2%)

Memory

-9.6MiB live, 29.4MiB allocated

Accuracy

Total -23.2b remaining (-8371.7%)

Threshold costs -23.2b (-8371.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))
(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)

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

Calls

8 calls:

2.0ms	(-.f64 (.f64 y y) (.f64 z z))
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.6%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.6%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.6%	1	`(*.f64 y y)`
99.6%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify47.0ms (0.9%)

Memory

-1.4MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness195.0ms (3.6%)

Memory

1.9MiB live, 168.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1152
1	648	1151
2	2459	1094
3	7917	1094
0	8151	1022

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess95.0ms (1.8%)

Memory

-9.9MiB live, 146.0MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 580 to 388 computations (33.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	55
0	18	55
1	28	49
2	52	48
3	76	48
4	85	48
5	106	48
6	136	48
7	164	48
8	216	48
9	240	48
10	260	48
11	262	48
0	262	48

Iter	Nodes	Cost
0	11	55
0	18	55
1	28	49
2	52	48
3	76	48
4	85	48
5	106	48
6	136	48
7	164	48
8	216	48
9	240	48
10	260	48
11	262	48
0	262	48

start0.0ms (0%)

analyze117.0ms (2.2%)

sample1.7s (32.1%)

explain150.0ms (2.8%)

preprocess588.0ms (10.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify330.0ms (6.1%)

localize52.0ms (1%)

series14.0ms (0.3%)

simplify169.0ms (3.1%)

rewrite229.0ms (4.2%)

eval44.0ms (0.8%)

prune6.0ms (0.1%)

simplify175.0ms (3.2%)

localize124.0ms (2.3%)

series49.0ms (0.9%)

simplify176.0ms (3.3%)

rewrite359.0ms (6.6%)

eval155.0ms (2.9%)

prune20.0ms (0.4%)

simplify10.0ms (0.2%)

localize41.0ms (0.8%)

series88.0ms (1.6%)

simplify197.0ms (3.6%)

rewrite143.0ms (2.6%)

eval54.0ms (1%)

prune7.0ms (0.1%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

simplify47.0ms (0.9%)

soundness195.0ms (3.6%)

preprocess95.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	55
0	18	55
1	28	49
2	52	48
3	76	48
4	85	48
5	106	48
6	136	48
7	164	48
8	216	48
9	240	48
10	260	48
11	262	48
0	262	48