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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze173.0ms (3.9%)

Memory

14.4MiB live, 90.8MiB 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)

sample1.5s (34.7%)

Memory

41.0MiB live, 1 136.2MiB allocated

Samples

818.0ms	8 256×	0	valid
242.0ms	2 545×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-mult: 472.0ms (71.7% of total)

ival-sqrt: 127.0ms (19.3% of total)

ival-sub: 48.0ms (7.3% of total)

ival-true: 7.0ms (1.1% of total)

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

Bogosity

explain100.0ms (2.2%)

Memory

-7.8MiB live, 273.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	1	(-1.0017544108554741e-202 2.8487108722843973e-160 5.385076992264741e-208)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
23	-	0	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	0	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	oflow-rescue	106	0
↳	`(*.f64 y y)`	overflow	106
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	106
↳	`(*.f64 z z)`	overflow	23
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	23	0
↳	`(*.f64 y y)`	overflow	106
↳	`(*.f64 z z)`	overflow	23
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	16	0
↳	`(*.f64 y y)`	underflow	16
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	16
↳	`(*.f64 z z)`	underflow	114

Confusion

	Predicted +	Predicted -
+	73	0
-	49	134

Precision

0.5983606557377049

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	49	0	134

Precision?

0.5983606557377049

Recall?

1.0

Freqs

test

number	freq
0	134
1	99
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms

512×

valid

Compiler

Compiled 116 to 36 computations (69% saved)

Precisions

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

ival-mult: 10.0ms (52.2% of total)

ival-sub: 5.0ms (26.1% of total)

ival-sqrt: 4.0ms (20.9% of total)

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

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

preprocess506.0ms (11.4%)

Memory

-20.7MiB live, 330.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify331.0ms (7.4%)

Memory

30.5MiB live, 302.1MiB 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 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
x
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (-.f64 y z) (+.f64 z y))
(*.f64 y y)
y
(*.f64 z z)
z

localize24.0ms (0.5%)

Memory

-15.8MiB live, 62.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
accuracy	4.582031250000001	(-.f64 (.f64 y y) (.f64 z z))
accuracy	28.55740550659568	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

18.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 6.0ms (59.1% of total)

ival-sqrt: 3.0ms (29.6% of total)

ival-sub: 1.0ms (9.9% of total)

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

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

series15.0ms (0.3%)

Memory

0.5MiB live, 43.9MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (.f64 y y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
2.0ms	z	@	inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
2.0ms	y	@	inf	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	y	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))
1.0ms	z	@	0	((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y))

simplify221.0ms (5%)

Memory

-6.6MiB live, 366.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7921	1426
0	8155	1349

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite178.0ms (4%)

Memory

26.9MiB live, 298.6MiB 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
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eval54.0ms (1.2%)

Memory: -4.1MiB live, 106.0MiB allocated
Compiler: Compiled 13 097 to 1 733 computations (86.8% saved)

prune35.0ms (0.8%)

Memory

-40.4MiB live, 32.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	422	4	426
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	4	427

Accuracy

100.0%

Counts

427 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
▶	76.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
▶	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
▶	99.0%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify144.0ms (3.2%)

Memory

34.6MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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 #s(literal -1/2 binary64) z)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)
cost-diff	0	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
cost-diff	0	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	40	141
1	71	141
2	113	141
3	178	141
4	301	141
5	640	141
6	1555	141
7	3314	141
8	6164	141
0	8299	141

Stop Event

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

Calls

Call 1

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

localize81.0ms (1.8%)

Memory

-32.4MiB live, 126.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sqrt.f64 (-.f64 y z))
accuracy	0.00390625	(sqrt.f64 (+.f64 z y))
accuracy	0.21484375	(*.f64 x (sqrt.f64 (+.f64 z y)))
accuracy	0.2578125	(.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	0.00390625	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
accuracy	28.55740550659568	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y)))
accuracy	0	(/.f64 z y)
accuracy	0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.00390625	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
accuracy	0.2229404276272928	#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))
accuracy	0	(*.f64 x y)
accuracy	0.6254655601786061	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Samples

66.0ms

256×

valid

Compiler

Compiled 263 to 50 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 32.0ms (66.6% of total)

ival-sqrt: 6.0ms (12.5% of total)

ival-sub: 5.0ms (10.4% of total)

ival-div: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (1.2%)

Memory

20.6MiB live, 102.9MiB allocated

Counts

16 → 432

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 y z) (+.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x (sqrt.f64 (+.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (-.f64 y z)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
5.0ms	y	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
5.0ms	z	@	inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
4.0ms	z	@	0	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))
4.0ms	z	@	-inf	((* x (sqrt (- (* y y) (* z z)))) (* x y) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* -1/2 z) (/ z y)) y) (* -1/2 z) (* (sqrt (* (- y z) (+ z y))) x) (sqrt (* (- y z) (+ z y))) (* (- y z) (+ z y)) (- y z) (* (* x (sqrt (+ z y))) (sqrt (- y z))) (* x (sqrt (+ z y))) (sqrt (+ z y)) (+ z y) (/ z y) (sqrt (- y z)))

simplify185.0ms (4.2%)

Memory

-11.5MiB live, 213.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	902	7530
1	3081	6373
0	9649	5949

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 416

Calls

Call 1

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

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

rewrite202.0ms (4.6%)

Memory

8.4MiB live, 253.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	40	122
1	127	122
2	803	122
0	8597	122

Stop Event

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

Counts

16 → 747

Calls

Call 1

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

Outputs
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eval181.0ms (4.1%)

Memory: 13.1MiB live, 316.6MiB allocated
Compiler: Compiled 38 451 to 4 576 computations (88.1% saved)

prune53.0ms (1.2%)

Memory

11.6MiB live, 90.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1 406	0	1 406
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 406	4	1 410

Accuracy

100.0%

Counts

1 410 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
✓	76.0%	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (+.f64 z y))) x)
✓	99.7%	(.f64 x #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
✓	99.0%	#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y))

Compiler

Compiled 118 to 70 computations (40.7% saved)

regimes51.0ms (1.2%)

Memory

-32.0MiB live, 31.4MiB 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 #s(approx (sqrt (- ( y y) (* z z))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y) y)))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 (.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))

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

Calls

8 calls:

35.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.7%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.7%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.7%	1	`(*.f64 y y)`
99.7%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

regimes12.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -14.8b remaining (-2368%)

Threshold costs -14.8b (-2368%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`y`
99.0%	1	`z`
99.0%	1	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
99.0%	1	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
99.0%	1	`(-.f64 (.f64 y y) (.f64 z z))`
99.0%	1	`(*.f64 y y)`
99.0%	1	`(*.f64 z z)`

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify33.0ms (0.8%)

Memory

5.2MiB live, 44.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness183.0ms (4.1%)

Memory

8.2MiB live, 125.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	1489
1	648	1483
2	2455	1426
3	7921	1426
0	8155	1349

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess85.0ms (1.9%)

Memory

-3.2MiB live, 155.4MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 580 to 388 computations (33.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze173.0ms (3.9%)

sample1.5s (34.7%)

explain100.0ms (2.2%)

preprocess506.0ms (11.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify331.0ms (7.4%)

localize24.0ms (0.5%)

series15.0ms (0.3%)

simplify221.0ms (5%)

rewrite178.0ms (4%)

eval54.0ms (1.2%)

prune35.0ms (0.8%)

simplify144.0ms (3.2%)

localize81.0ms (1.8%)

series53.0ms (1.2%)

simplify185.0ms (4.2%)

rewrite202.0ms (4.6%)

eval181.0ms (4.1%)

prune53.0ms (1.2%)

regimes51.0ms (1.2%)

regimes12.0ms (0.3%)

simplify33.0ms (0.8%)

soundness183.0ms (4.1%)

preprocess85.0ms (1.9%)

end0.0ms (0%)

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