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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze87.0ms (2.9%)

Memory

36.7MiB live, 36.7MiB 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)

sample806.0ms (26.6%)

Memory

298.8MiB live, 298.8MiB allocated

Samples

405.0ms	8 256×	0	valid
119.0ms	2 434×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 307.0ms

ival-mult: 185.0ms (60.2% of total)

ival-sqrt: 67.0ms (21.8% of total)

ival-sub: 43.0ms (14% of total)

ival-true: 8.0ms (2.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain97.0ms (3.2%)

Memory

52.6MiB live, 52.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
144	-	1	(-1.6096367718943358e+160 -2.9995263502449777e-158 6.22730980189144e-256)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
13	-	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	130	0
↳	`(*.f64 y y)`	overflow	130
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	130
↳	`(*.f64 z z)`	overflow	13
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	13	0
↳	`(*.f64 y y)`	overflow	130
↳	`(*.f64 z z)`	overflow	13
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	13	0
↳	`(*.f64 y y)`	underflow	13
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	13
↳	`(*.f64 z z)`	underflow	100

Confusion

	Predicted +	Predicted -
+	95	1
-	48	112

Precision

0.6643356643356644

Recall

0.9895833333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	95	0	1
-	48	0	112

Precision?

0.6643356643356644

Recall?

0.9895833333333334

Freqs

test

number	freq
0	113
1	130
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions

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

ival-mult: 9.0ms (58.1% of total)

ival-sqrt: 3.0ms (19.4% of total)

ival-sub: 2.0ms (12.9% of total)

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

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

preprocess479.0ms (15.8%)

Memory

53.1MiB live, 53.1MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.6%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify300.0ms (9.9%)

Memory

46.7MiB live, 46.7MiB 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

localize20.0ms (0.6%)

Memory

8.7MiB live, 8.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	2.5898437500000004	(-.f64 (.f64 y y) (.f64 z z))
accuracy	33.37293050926114	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

14.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.9% of total)

ival-sqrt: 2.0ms (27.5% of total)

ival-sub: 1.0ms (13.7% of total)

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

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

series10.0ms (0.3%)

Memory

4.6MiB live, 4.6MiB 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
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	y	@	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))

simplify137.0ms (4.5%)

Memory

44.6MiB live, 44.6MiB 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))))))

rewrite136.0ms (4.5%)

Memory

55.7MiB live, 55.7MiB 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)))

eval40.0ms (1.3%)

Memory: 30.0MiB live, 30.0MiB allocated
Compiler: Compiled 12 269 to 1 729 computations (85.9% saved)

prune11.0ms (0.4%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	378	3	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	3	382

Accuracy

100.0%

Counts

382 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	100.0%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.4%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Status

Accuracy

Program

▶

67.1%

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

▶

100.0%

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

▶

99.4%

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

Compiler

Compiled 43 to 31 computations (27.9% saved)

simplify124.0ms (4.1%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
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 #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)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
0	32	107
1	59	107
2	94	107
3	157	107
4	279	107
5	620	107
6	1557	107
7	3307	107
8	6132	107
0	8319	107

Stop Event

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

Calls

Call 1

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

Outputs
#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 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
(.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

localize52.0ms (1.7%)

Memory

18.7MiB live, 18.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0	(*.f64 (-.f64 y z) (+.f64 z y))
accuracy	0.0078125	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	33.37293050926114	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.0078125	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.15505310530461158	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0	(*.f64 x y)
accuracy	0.3735402008420907	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

38.0ms

256×

valid

Compiler

Compiled 195 to 42 computations (78.5% saved)

Precisions

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

ival-mult: 13.0ms (53.2% of total)

ival-sqrt: 4.0ms (16.4% of total)

ival-sub: 3.0ms (12.3% of total)

ival-add: 3.0ms (12.3% of total)

ival-div: 2.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.9%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

12 → 116

Calls

Call 1

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

Outputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x (sqrt (* (+ y z) (- 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)
(/ z y)
z
(+ y z)
(* 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))))
(* y (+ 1 (/ z y)))
(* -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)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ (* -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))
(* 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 (/ y z)))
(* -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 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (/ z y) (+ z y))
3.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (/ z y) (+ z y))
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (/ z y) (+ z y))
3.0ms	x	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (/ z y) (+ z y))
3.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (/ z y) (+ z y))

simplify136.0ms (4.5%)

Memory

42.3MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	2690
1	1950	1960
0	9068	1835

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 114

Calls

Call 1

Inputs
(* x (sqrt (- (pow y 2) (pow z 2))))
(* x y)
(* x (sqrt (* (+ y z) (- 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)
(/ z y)
z
(+ y z)
(* 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))))
(* y (+ 1 (/ z y)))
(* -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)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ (* -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))
(* 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 (/ y z)))
(* -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 (* z (- (* -1 (/ y z)) 1)))

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

rewrite157.0ms (5.2%)

Memory

56.7MiB live, 56.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	32	98
1	115	98
2	780	98
0	8440	98

Stop Event

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

Counts

12 → 640

Calls

Call 1

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

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.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 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 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) y) (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))))
(.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 (/.f64 z y) #s(literal -1/2 binary64)) z) (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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)))
(.f64 (fma.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z) y) (.f64 (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))))
(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 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))) (fma.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 z y) z) #s(literal 1/2 binary64) y))) (+.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y (*.f64 (/.f64 z y) #s(literal -1/2 binary64))) z) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 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))) (-.f64 (.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 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 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))) (+.f64 (pow.f64 (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (/.f64 z y) z) y) #s(literal 3 binary64))))))
(/.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)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 y)))
(/.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))) #s(literal 1 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))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 z y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 y))) (.f64 (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 y)) (.f64 y y))) (.f64 (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (neg.f64 y)) (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) z) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) z) (fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) z) (fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (/.f64 z y) #s(literal -1/2 binary64)) z))
(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 z y) #s(literal -1/2 binary64)) y)
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) 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 (/.f64 z y) #s(literal -1/2 binary64)) 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 (pow.f64 y #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) z) z) y)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z) y)
(fma.f64 #s(literal 1 binary64) y (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) 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 (neg.f64 z) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1/2 binary64) z)) 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 (.f64 z z) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) y)
(fma.f64 z (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) y)
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(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 z y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64)) (-.f64 z y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) (fma.f64 (-.f64 y z) y (*.f64 z z))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 z y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 y z) y (.f64 z z))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (+.f64 z y) (-.f64 y z))) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 y z)) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 z y) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (-.f64 y z) (-.f64 z y)))
(.f64 (/.f64 (+.f64 z y) (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64))) (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))))
(.f64 (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 y z) (pow.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 z y) (-.f64 y z)) (/.f64 (-.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 y z) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 z y) (-.f64 z y)))
(.f64 (/.f64 (-.f64 y z) (.f64 (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) y (.f64 z z))) #s(literal 1 binary64))) (/.f64 (+.f64 z y) (fma.f64 (-.f64 y z) y (.f64 z z))))
(.f64 (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (+.f64 z y) (pow.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y z) (-.f64 y z)) (/.f64 (+.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z y)) (/.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) (/.f64 (-.f64 y z) (+.f64 z y))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 z y)) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 (/.f64 (-.f64 y z) (+.f64 z y)) (/.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y))))
(.f64 (.f64 (+.f64 z y) (fma.f64 z z (.f64 y y))) (/.f64 (pow.f64 (fma.f64 z z (.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (+.f64 z y) (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (.f64 (+.f64 z y) (-.f64 y z)))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y z) y (.f64 z z)))))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (pow.f64 (fma.f64 z z (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (/.f64 (-.f64 y z) (+.f64 z y))))
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) (.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 z y) y (.f64 z z)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (+.f64 z y) (.f64 (-.f64 z y) (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (fma.f64 z z (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y z) y (.f64 z z)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) y (.f64 z z)))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 z z)) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y))) (.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))) (+.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 z z) (-.f64 z y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)) (.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z y)) (.f64 (-.f64 z y) (.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (neg.f64 (-.f64 y z)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (-.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y z) y (*.f64 z z)))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(neg.f64 (neg.f64 (+.f64 z y)))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) z)
(fma.f64 #s(literal -1 binary64) (neg.f64 z) y)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 z y))))
(fma.f64 z #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) z)
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))
(-.f64 y (neg.f64 z))
(+.f64 (-.f64 y #s(literal 0 binary64)) z)
(+.f64 (/.f64 (.f64 z z) (-.f64 z y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 z y))))
(+.f64 z y)
(+.f64 y z)

eval100.0ms (3.3%)

Memory: 62.0MiB live, 62.0MiB allocated
Compiler: Compiled 21 083 to 3 352 computations (84.1% saved)

prune21.0ms (0.7%)

Memory

27.3MiB live, 27.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	737	0	737
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	737	3	740

Accuracy

100.0%

Counts

740 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

67.1%

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

✓

100.0%

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

✓

99.4%

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

Compiler

Compiled 96 to 57 computations (40.6% saved)

regimes20.0ms (0.7%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 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))))

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
100.0%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
100.0%	1	`(-.f64 (.f64 y y) (.f64 z z))`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes15.0ms (0.5%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -21.0b remaining (-5612.9%)

Threshold costs -21b (-5612.9%)

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.4%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.4%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify28.0ms (0.9%)

Memory

18.4MiB live, 18.4MiB 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))

soundness147.0ms (4.8%)

Memory

1.0MiB live, 1.0MiB 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)

preprocess74.0ms (2.5%)

Memory

32.4MiB live, 32.4MiB 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

start0.0ms (0%)

analyze87.0ms (2.9%)

sample806.0ms (26.6%)

explain97.0ms (3.2%)

preprocess479.0ms (15.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify300.0ms (9.9%)

localize20.0ms (0.6%)

series10.0ms (0.3%)

simplify137.0ms (4.5%)

rewrite136.0ms (4.5%)

eval40.0ms (1.3%)

prune11.0ms (0.4%)

simplify124.0ms (4.1%)

localize52.0ms (1.7%)

series28.0ms (0.9%)

simplify136.0ms (4.5%)

rewrite157.0ms (5.2%)

eval100.0ms (3.3%)

prune21.0ms (0.7%)

regimes20.0ms (0.7%)

regimes15.0ms (0.5%)

simplify28.0ms (0.9%)

soundness147.0ms (4.8%)

preprocess74.0ms (2.5%)

end0.0ms (0%)

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