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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze174.0ms (3%)

Memory

-11.2MiB live, 263.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.3s (22.2%)

Memory

24.6MiB live, 1 530.9MiB allocated

Samples

761.0ms	8 256×	0	valid
147.0ms	2 454×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 547.0ms

ival-mult: 323.0ms (59% of total)

ival-sub: 109.0ms (19.9% of total)

ival-sqrt: 105.0ms (19.2% of total)

ival-true: 7.0ms (1.3% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain188.0ms (3.2%)

Memory

2.8MiB live, 124.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
13	-	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`z`
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	118	0
↳	`(*.f64 y y)`	overflow	118
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	118
↳	`(*.f64 z z)`	overflow	13
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	14	0
↳	`(*.f64 y y)`	underflow	14
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	14
↳	`(*.f64 z z)`	underflow	94
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	13	0
↳	`(*.f64 y y)`	overflow	118
↳	`(*.f64 z z)`	overflow	13

Confusion

	Predicted +	Predicted -
+	85	0
-	47	124

Precision

0.6439393939393939

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	47	0	124

Precision?

0.6439393939393939

Recall?

1.0

Freqs

test

number	freq
0	124
1	119
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 150 to 44 computations (70.7% saved)

Precisions

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

ival-mult: 10.0ms (60% of total)

ival-sqrt: 4.0ms (24% of total)

ival-sub: 2.0ms (12% of total)

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

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

preprocess627.0ms (10.6%)

Memory

16.8MiB live, 204.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify429.0ms (7.3%)

Memory

6.1MiB live, 197.1MiB 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

localize103.0ms (1.7%)

Memory

-51.8MiB live, 57.8MiB 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	2.6015625000000004	(-.f64 (.f64 y y) (.f64 z z))
accuracy	30.7085913221175	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

60.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (63.7% of total)

ival-sqrt: 2.0ms (25.5% of total)

ival-sub: 1.0ms (12.7% of total)

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

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

series11.0ms (0.2%)

Memory

29.2MiB live, 29.2MiB 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	y	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	x	@	-inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))

simplify211.0ms (3.6%)

Memory

-11.9MiB live, 214.6MiB 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))))))

rewrite169.0ms (2.9%)

Memory

23.6MiB live, 270.4MiB 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)))

eval155.0ms (2.6%)

Memory: -30.2MiB live, 131.1MiB allocated
Compiler: Compiled 12 269 to 1 729 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	378	3	381
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	378	4	382

Accuracy

100.0%

Counts

382 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	70.7%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	68.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
▶	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 45 to 35 computations (22.2% saved)

simplify597.0ms (10.1%)

Memory

28.2MiB live, 448.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	87
0	29	87
1	51	87
2	83	87
3	144	87
4	263	87
5	591	87
6	1518	87
7	2983	87
8	4122	87
9	4747	87
10	5014	87
11	5176	87
12	5251	87
13	5319	87
14	5361	87
15	5389	87
16	5397	87
17	5397	87
18	6014	87
19	6322	87
20	6414	87
21	6414	87
22	6606	87
0	8532	87

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

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

localize60.0ms (1%)

Memory

4.3MiB live, 78.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 y z))
accuracy	0.0078125	(sqrt.f64 (+.f64 z y))
accuracy	0.1953125	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.25619125976844204	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
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	30.7085913221175	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(*.f64 x y)
accuracy	0.41924962174382147	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

37.0ms

256×

valid

Compiler

Compiled 172 to 39 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (55.5% of total)

ival-sqrt: 6.0ms (27.7% of total)

ival-sub: 2.0ms (9.2% of total)

ival-add: 1.0ms (4.6% of total)

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

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

series35.0ms (0.6%)

Memory

1.7MiB live, 40.0MiB allocated

Counts

11 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
7.0ms	x	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
4.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
3.0ms	y	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))
3.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (sqrt (- y z)))

simplify301.0ms (5.1%)

Memory

-29.1MiB live, 351.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	4279
1	2831	3486
0	9986	3275

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

Calls

Call 1

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

rewrite203.0ms (3.4%)

Memory

3.8MiB live, 194.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	29	72
1	90	72
2	573	72
3	7253	72
0	8311	72

Stop Event

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

Counts

11 → 747

Calls

Call 1

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

Outputs
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 y z)) x) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(.f64 (.f64 x (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (sqrt.f64 (+.f64 z y)))
(.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (-.f64 y z)) x)))
(.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1/4 binary64)) x))
(.f64 (sqrt.f64 (-.f64 y z)) (.f64 (sqrt.f64 (+.f64 z y)) x))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 y z)))
(.f64 (sqrt.f64 (+.f64 z y)) (.f64 (sqrt.f64 (-.f64 y z)) x))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) x)
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (sqrt.f64 (+.f64 z y)) x)) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (sqrt.f64 (+.f64 z y)))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 z y) (+.f64 z y))) (*.f64 (sqrt.f64 (-.f64 y z)) x)) (sqrt.f64 (-.f64 z y)))
(/.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (-.f64 y z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) x) (hypot.f64 z y))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) x) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (sqrt.f64 (*.f64 (-.f64 z y) (+.f64 z y)))) (sqrt.f64 (-.f64 z y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 y z)) x) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (-.f64 y z) y (*.f64 z z))))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (hypot.f64 z y))
(/.f64 (.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (fma.f64 z z (.f64 y y)) (*.f64 z z) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
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eval167.0ms (2.8%)

Memory: -13.6MiB live, 266.5MiB allocated
Compiler: Compiled 33 137 to 4 618 computations (86.1% saved)

prune19.0ms (0.3%)

Memory

-5.9MiB live, 71.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 160	1	1 161
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	1 161	4	1 165

Accuracy

100.0%

Counts

1 165 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	68.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
▶	93.2%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 57 to 41 computations (28.1% saved)

simplify134.0ms (2.3%)

Memory

11.3MiB live, 127.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(.f64 x (/.f64 (.f64 z z) y))
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
cost-diff	320	(fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	21	57
1	40	55
2	78	55
3	160	55
4	272	55
5	511	55
6	774	55
7	1534	55
8	3217	55
9	6676	55
0	8279	53

Stop Event

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

Calls

Call 1

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

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

localize34.0ms (0.6%)

Memory

24.9MiB live, 59.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.11039958420405196	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
accuracy	1.3945312500000002	(fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x))
accuracy	5.9457854417113225	(.f64 x (/.f64 (.f64 z z) y))
accuracy	6.720116251481055	(/.f64 (*.f64 z z) y)

Samples

26.0ms

256×

valid

Compiler

Compiled 104 to 31 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67% of total)

ival-div: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

ival-sub: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y))
2.0ms	x	@	0	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y))
1.0ms	y	@	-inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y))
1.0ms	y	@	0	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y))
1.0ms	x	@	inf	((+ (* (* x (/ (* z z) y)) -1/2) (* y x)) (* x (sqrt (- (* y y) (* z z)))) (* x (/ (* z z) y)) (/ (* z z) y))

simplify254.0ms (4.3%)

Memory

-36.4MiB live, 256.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	683
1	448	683
2	1742	636
3	6932	626
0	8270	588

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite156.0ms (2.7%)

Memory

32.3MiB live, 220.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	21	47
1	77	45
2	525	45
3	5451	45
0	8190	43

Stop Event

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

Counts

4 → 194

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) (.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 y) x) (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) (.f64 y x)) (-.f64 (.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) (.f64 y x)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y) x))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) x) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x)
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64))) (pow.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)) x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y) x))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)) x)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) #s(literal -1 binary64))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y))
(pow.f64 (/.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 z z) y) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) #s(literal -1 binary64))) (.f64 (.f64 x x) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) x) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 z z) y) x)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)) x))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y))) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y))) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 y y))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) x) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x)))
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(fma.f64 (.f64 (/.f64 (.f64 z z) y) x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)))))
(fma.f64 (.f64 (/.f64 (.f64 z z) y) x) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (/.f64 (.f64 z z) y) (.f64 #s(literal -1/2 binary64) x) (*.f64 y x))
(fma.f64 y x (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 z z) y) x)))
(fma.f64 (.f64 z z) (.f64 (/.f64 #s(literal -1/2 binary64) y) x) (*.f64 y x))
(fma.f64 (.f64 z z) (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 (.f64 z z) (.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) x)) (.f64 y x))
(fma.f64 z (.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) x) (*.f64 y x))
(fma.f64 z (.f64 (.f64 (/.f64 z y) x) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 z (.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) x)) (*.f64 y x))
(fma.f64 x (/.f64 (.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) #s(literal 2 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)) (*.f64 y x))
(fma.f64 x y (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (*.f64 z z) y) x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) #s(literal 2 binary64)) (.f64 x (-.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))))))
(-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (.f64 z z)) x) #s(literal -2 binary64)) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) (neg.f64 y)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)) (.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 z z) y) x)))
#s(approx (* x (sqrt (- (* y y) (* z z)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y) x))
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (.f64 z z) y))
(.f64 (/.f64 x (neg.f64 y)) (.f64 (neg.f64 z) z))
(.f64 (/.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (/.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 z) (/.f64 z y)))
(.f64 (.f64 (.f64 (.f64 z z) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 z z))
(.f64 (.f64 (/.f64 z y) x) z)
(.f64 (.f64 z x) (/.f64 z y))
(.f64 (.f64 (*.f64 x (neg.f64 z)) z) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 z y) (.f64 z x))
(.f64 (.f64 (*.f64 z z) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 z #s(literal -2 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (*.f64 z z) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 z z) y) x))
(.f64 (.f64 (neg.f64 z) z) (/.f64 x (neg.f64 y)))
(.f64 (.f64 (neg.f64 z) z) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (.f64 z z) y) x)
(.f64 (.f64 z z) (/.f64 x y))
(.f64 z (.f64 (/.f64 z y) x))
(.f64 x (/.f64 (.f64 z z) y))
(pow.f64 (/.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 x (neg.f64 z)) z) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 z x) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (.f64 (.f64 (*.f64 z z) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 y) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 z)) z)) y)
(/.f64 (.f64 (.f64 (*.f64 z z) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 x y) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 z x) (/.f64 y z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x (neg.f64 z)) z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 z z)) x)))
(/.f64 (.f64 (.f64 z z) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z z)) x))
(/.f64 x (/.f64 y (*.f64 z z)))
(neg.f64 (/.f64 (.f64 (.f64 x (neg.f64 z)) z) y))
(neg.f64 (/.f64 (.f64 (.f64 z z) x) (neg.f64 y)))
(neg.f64 (.f64 x (.f64 (neg.f64 z) (/.f64 z y))))
(neg.f64 (.f64 (.f64 (neg.f64 z) (/.f64 z y)) x))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 y (.f64 z z)) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) z) (/.f64 z y))
(.f64 (pow.f64 (/.f64 y (.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 z) z))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (/.f64 z y)))
(*.f64 (/.f64 z y) z)
(.f64 (neg.f64 z) (.f64 z (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 z (neg.f64 y)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 z z))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) y))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal 1 binary64))
(.f64 (.f64 z z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 z (/.f64 z y))
(pow.f64 (pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z z) y) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 y z))
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) y)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z z))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (/.f64 z y))))
(neg.f64 (*.f64 (neg.f64 z) (/.f64 z y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 z) (/.f64 z y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 z y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 z z))) #s(literal -1 binary64)))

eval33.0ms (0.6%)

Memory: -32.3MiB live, 91.2MiB allocated
Compiler: Compiled 8 295 to 903 computations (89.1% saved)

prune6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	220	4	224

Accuracy

100.0%

Counts

224 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.7%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	68.2%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	93.2%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (.f64 x (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)))
✓	99.3%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 125 to 71 computations (43.2% saved)

regimes47.0ms (0.8%)

Memory

-18.5MiB live, 20.8MiB allocated

Counts

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

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

Calls

8 calls:

31.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.5%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.5%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.5%	1	`(*.f64 y y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes16.0ms (0.3%)

Memory

34.6MiB live, 34.6MiB allocated

Accuracy

Total -21.3b remaining (-5086.2%)

Threshold costs -21.3b (-5086.2%)

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`z`
99.3%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.3%	1	`(*.f64 z z)`
99.3%	1	`y`
99.3%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.3%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.3%	1	`(*.f64 y y)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify46.0ms (0.8%)

Memory

0.8MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
2	27	25
3	29	25
4	30	25

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness278.0ms (4.7%)

Memory

-8.3MiB live, 200.4MiB 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
0	8	28
0	13	28
1	40	28
2	243	28
3	2153	28
0	9394	28

Stop Event

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

Compiler

Compiled 49 to 34 computations (30.6% saved)

preprocess107.0ms (1.8%)

Memory

-15.2MiB live, 95.1MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 372 to 292 computations (21.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze174.0ms (3%)

sample1.3s (22.2%)

explain188.0ms (3.2%)

preprocess627.0ms (10.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify429.0ms (7.3%)

localize103.0ms (1.7%)

series11.0ms (0.2%)

simplify211.0ms (3.6%)

rewrite169.0ms (2.9%)

eval155.0ms (2.6%)

prune6.0ms (0.1%)

simplify597.0ms (10.1%)

localize60.0ms (1%)

series35.0ms (0.6%)

simplify301.0ms (5.1%)

rewrite203.0ms (3.4%)

eval167.0ms (2.8%)

prune19.0ms (0.3%)

simplify134.0ms (2.3%)

localize34.0ms (0.6%)

series12.0ms (0.2%)

simplify254.0ms (4.3%)

rewrite156.0ms (2.7%)

eval33.0ms (0.6%)

prune6.0ms (0.1%)

regimes47.0ms (0.8%)

regimes16.0ms (0.3%)

simplify46.0ms (0.8%)

soundness278.0ms (4.7%)

preprocess107.0ms (1.8%)

end0.0ms (0%)

Profiling