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

analyze99.0ms (1.6%)

Memory

-1.6MiB live, 242.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample911.0ms (15.2%)

Memory

12.4MiB live, 2 072.4MiB allocated

Samples

484.0ms	8 256×	0	valid
152.0ms	2 565×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 221.0ms (60.2% of total)

ival-sqrt: 85.0ms (23.1% of total)

ival-sub: 49.0ms (13.3% of total)

ival-true: 8.0ms (2.2% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

preprocess234.0ms (3.9%)

Memory

14.1MiB live, 91.8MiB allocated

Algorithm

1×	egg-herbie

Rules

878×	`fmm-def`
591×	`distribute-lft-out`
506×	`distribute-lft-out--`
505×	`sub-neg`
368×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	496
1	123	496
2	253	496
3	701	496
4	1966	496
5	3136	496
6	5073	496
7	5745	496
8	6337	496
9	6636	496
10	6726	496
11	6822	496
12	6886	496

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs y)

(abs z)

(negabs x)

explain102.0ms (1.7%)

Memory

13.6MiB live, 168.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
136	-	1	(8.604707560029108e-142 2.2833064934711057e-157 1.8454209653174968e-162)	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`
16	-	0	-	`(-.f64 (.f64 y y) (.f64 z z))`
0	-	0	-	`(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	oflow-rescue	123	0
↳	`(*.f64 y y)`	overflow	123
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	123
↳	`(*.f64 z z)`	overflow	16
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	16	0
↳	`(*.f64 y y)`	overflow	123
↳	`(*.f64 z z)`	overflow	16
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	12	0
↳	`(*.f64 y y)`	underflow	12
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	12
↳	`(*.f64 z z)`	underflow	104

Confusion

	Predicted +	Predicted -
+	92	1
-	43	120

Precision

0.6814814814814815

Recall

0.989247311827957

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	1
-	43	0	120

Precision?

0.6814814814814815

Recall?

0.989247311827957

Freqs

test

number	freq
0	121
1	119
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 98 to 36 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (60.6% of total)

ival-sqrt: 4.0ms (24.3% of total)

ival-sub: 2.0ms (12.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.4%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify185.0ms (3.1%)

Memory

-23.4MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(-.f64 (.f64 y y) (.f64 z z))
✓	cost-diff	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
✓	cost-diff	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Rules

700×	`fma-define`
695×	`distribute-lft-out`
583×	`fmm-def`
495×	`distribute-lft-out--`
479×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	148
1	26	148
2	38	148
3	67	148
4	143	148
5	393	148
6	844	148
7	1707	148
8	3820	148
9	5474	148
10	6337	148
11	6706	148
12	6936	148
13	7050	148
14	7050	148

Stop Event

1×	node 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))))
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

localize34.0ms (0.6%)

Memory

-1.0MiB live, 45.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	accuracy	95.0%	(-.f64 (.f64 y y) (.f64 z z))
✓	accuracy	50.7%	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

26.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (72.8% of total)

ival-sqrt: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

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

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

series18.0ms (0.3%)

Memory

-6.8MiB live, 29.9MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))>
#<alt (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))>
#<alt (-.f64 (.f64 y y) (.f64 z z))>
#<alt (*.f64 y y)>

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

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* y y)
1.0ms	x	@	0	(* x (sqrt (- (* y y) (* z z))))
1.0ms	z	@	inf	(* x (sqrt (- (* y y) (* z z))))
1.0ms	z	@	0	(* x (sqrt (- (* y y) (* z z))))
1.0ms	y	@	0	(* x (sqrt (- (* y y) (* z z))))

rewrite270.0ms (4.5%)

Memory

25.0MiB live, 382.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log1p-expm1-u`
817×	`expm1-log1p-u`
642×	`prod-diff`
423×	`log-prod`
403×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	102
1	187	102
2	2378	98

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(exp.f64 (.f64 (log.f64 (.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 y z))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (hypot.f64 (pow.f64 y #s(literal 2 binary64)) (hypot.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z))))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(hypot.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z))
(hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)
(hypot.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
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(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify265.0ms (4.4%)

Memory

5.5MiB live, 288.4MiB allocated

Algorithm

1×	egg-herbie

Rules

362×	`fmm-def`
289×	`fma-define`
272×	`associate-r`
252×	`cancel-sign-sub-inv`
242×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	18119
1	1856	16910
2	5736	15563

Stop Event

1×	node limit

Counts

378 → 447

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))
(*.f64 x y)
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))
(.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 6 binary64))) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 6 binary64))) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 z (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
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(fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

Outputs
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 1/16 binary64) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 1/16 binary64) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) x))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))
(.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
(.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) x) (fma.f64 #s(literal -1/16 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 x (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
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(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(fma.f64 (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))

eval57.0ms (1%)

Memory: -9.7MiB live, 105.9MiB allocated
Compiler: Compiled 10 933 to 1 663 computations (84.8% saved)

prune63.0ms (1%)

Memory

15.0MiB live, 130.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	443	4	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	444	4	448

Accuracy

100.0%

Counts

448 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
▶	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
▶	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
▶	99.2%	(*.f64 x y)

Compiler

Compiled 47 to 31 computations (34% saved)

simplify129.0ms (2.2%)

Memory

-19.6MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(sqrt.f64 (+.f64 y z))
✓	cost-diff	0	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
✓	cost-diff	0	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	cost-diff	-6336	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
✓	cost-diff	-6336	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(-.f64 y z)
✓	cost-diff	0	(*.f64 x y)

Rules

753×	`div-sub`
712×	`sub-neg`
434×	`fma-define`
368×	`associate-/r*`
310×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	473
1	54	465
2	115	465
3	222	465
4	418	465
5	798	456
6	1457	456
7	2969	456
8	4792	456
9	6889	456

Stop Event

1×	node limit

Calls

Call 1

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

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

localize66.0ms (1.1%)

Memory

17.3MiB live, 93.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓	accuracy	100.0%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓	accuracy	88.3%	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 y z))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 y z))
✓	accuracy	100.0%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 (-.f64 y z) (+.f64 y z))
✓	accuracy	100.0%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
✓	accuracy	50.7%	(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
✓	accuracy	100.0%	(*.f64 x y)

Samples

42.0ms

256×

valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 15.0ms (52.7% of total)

ival-sqrt: 5.0ms (17.6% of total)

ival-div: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-pow2: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series63.0ms (1.1%)

Memory

7.1MiB live, 86.5MiB allocated

Counts

15 → 276

Calls

Call 1

Inputs
#<alt (*.f64 x y)>
#<alt (-.f64 y z)>
#<alt (+.f64 y z)>
#<alt (.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))>
#<alt (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))>
#<alt (.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))>
#<alt (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))>
#<alt (sqrt.f64 (+.f64 y z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 (-.f64 y z) (+.f64 y z))>
#<alt (sqrt.f64 (-.f64 y z))>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt z>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt y>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt z>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1 binary64) z)))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64)))) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 y (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) y))))>
#<alt (.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 x (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))) y)) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) y)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) y)) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 z (.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) y)))) y)) (*.f64 x y))>
#<alt (+.f64 (.f64 x y) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) y)))))>
#<alt (+.f64 (.f64 x y) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) y)) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 z (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 z (.f64 #s(literal -1 binary64) z))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 x y)>
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#<alt (*.f64 x y)>
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#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/2 binary64) (+.f64 z (.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt y>
#<alt (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))>
#<alt (+.f64 y (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))>
#<alt (+.f64 y (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) y)) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))>
#<alt (+.f64 (sqrt.f64 z) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (+.f64 (sqrt.f64 z) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (sqrt.f64 z)>
#<alt (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.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)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 z (.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 z (.f64 #s(literal -1 binary64) z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 z (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 z (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 y z)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 y z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 y z) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) z)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)))) z)) #s(literal 1 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (+.f64 (sqrt.f64 y) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.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)))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.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))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.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)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.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))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.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)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.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))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>

Calls

96 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(* -1/2 (/ (pow z 2) y))
3.0ms	x	@	0	(* x (sqrt (* (- y z) (+ y z))))
3.0ms	z	@	0	(* -1/2 (/ (pow z 2) y))
2.0ms	y	@	-inf	(sqrt (+ y z))
2.0ms	y	@	0	(* x (sqrt (* (- y z) (+ y z))))

rewrite430.0ms (7.2%)

Memory

-175.8MiB live, 169.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 150×	`log1p-expm1-u`
515×	`expm1-log1p-u`
194×	`associate-r`
170×	`add-cube-cbrt`
168×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	393
1	416	355
2	5486	355

Stop Event

1×	node limit

Counts

15 → 432

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
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(+.f64 (.f64 y (-.f64 y z)) (.f64 z (-.f64 y z)))
(+.f64 (.f64 z (-.f64 y z)) (.f64 y (-.f64 y z)))
(+.f64 (.f64 (+.f64 y z) y) (.f64 (+.f64 y z) (neg.f64 z)))
(+.f64 (.f64 y (+.f64 y z)) (.f64 (neg.f64 z) (+.f64 y z)))
(+.f64 (.f64 (.f64 y (-.f64 y z)) #s(literal 1 binary64)) (.f64 (.f64 z (-.f64 y z)) #s(literal 1 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.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)))) (.f64 (fma.f64 y y (.f64 z (+.f64 y z))) (fma.f64 y y (.f64 z (-.f64 z y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (+.f64 y z) (fma.f64 y y (*.f64 z (-.f64 z y)))))
(/.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)))) (.f64 (fma.f64 y y (.f64 z (-.f64 z y))) (fma.f64 y y (.f64 z (+.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (-.f64 y z) (fma.f64 y y (*.f64 z (+.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 z (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z))) (-.f64 (.f64 (.f64 z (-.f64 y z)) (.f64 z (-.f64 y z))) (.f64 (.f64 y (-.f64 y z)) (*.f64 z (-.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y (-.f64 y z)) (.f64 y (-.f64 y z))) (.f64 (.f64 z (-.f64 y z)) (.f64 z (-.f64 y z)))) (-.f64 (.f64 y (-.f64 y z)) (.f64 z (-.f64 y z))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z)) (-.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z)) (+.f64 y z))
(/.f64 (*.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 y z))
(/.f64 (.f64 (-.f64 y z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (.f64 z (-.f64 z y))))
(/.f64 (.f64 (+.f64 y z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (.f64 z (+.f64 y z))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 y z)) (fma.f64 y y (.f64 z (+.f64 y z))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 y z)) (fma.f64 y y (.f64 z (-.f64 z y))))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (-.f64 y z) (*.f64 z (-.f64 y z)))
(fma.f64 (-.f64 y z) y (*.f64 z (-.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))

simplify350.0ms (5.8%)

Memory

28.3MiB live, 459.2MiB allocated

Algorithm

1×	egg-herbie

Rules

870×	`times-frac`
662×	`distribute-lft-in`
459×	`*-commutative`
202×	`+-commutative`
164×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1438	36558
1	3966	30786

Stop Event

1×	node limit

Counts

708 → 798

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) z)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
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(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (-.f64 y z) (*.f64 z (-.f64 y z)))
(fma.f64 (-.f64 y z) y (*.f64 z (-.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 z (+.f64 y z)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))

Outputs
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
y
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(-.f64 y z)
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(-.f64 y z)
(+.f64 y (*.f64 #s(literal -1 binary64) z))
(-.f64 y z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
z
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))) y))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(+.f64 (pow.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))

eval133.0ms (2.2%)

Memory: -5.0MiB live, 221.6MiB allocated
Compiler: Compiled 20 604 to 4 113 computations (80% saved)

prune155.0ms (2.6%)

Memory

2.5MiB live, 242.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	942	3	945
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	943	6	949

Accuracy

100.0%

Counts

949 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
▶	79.6%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
✓	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
▶	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	99.2%	(*.f64 x y)

Compiler

Compiled 80 to 52 computations (35% saved)

simplify78.0ms (1.3%)

Memory

7.4MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(*.f64 z (/.f64 z y))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
	cost-diff	0	(sqrt.f64 (+.f64 y z))
✓	cost-diff	0	(*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
✓	cost-diff	0	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 z y))
	cost-diff	0	(-.f64 y z)
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))

Rules

668×	`times-frac`
534×	`fma-define`
325×	`distribute-lft-neg-in`
323×	`distribute-rgt-neg-in`
288×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	612
1	68	604
2	155	599
3	407	529
4	1018	529
5	2733	529
6	5490	529

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
x
(sqrt.f64 (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(-.f64 y z)
y
z
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
x
(*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
y
z
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
(-.f64 y z)
#s(literal 3/2 binary64)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
x
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y))))
y
(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
#s(literal -1/2 binary64)
(*.f64 z (/.f64 z y))
z
(/.f64 z y)

Outputs
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (fma.f64 y (/.f64 z y) y))))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
(.f64 x (sqrt.f64 (fma.f64 y y (.f64 z (neg.f64 z)))))
x
(sqrt.f64 (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(sqrt.f64 (*.f64 (-.f64 y z) (fma.f64 y (/.f64 z y) y)))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
(sqrt.f64 (fma.f64 y y (*.f64 z (neg.f64 z))))
(.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (-.f64 y z) (fma.f64 y (/.f64 z y) y))
(*.f64 (-.f64 y z) (+.f64 y z))
(fma.f64 y y (*.f64 z (neg.f64 z)))
(-.f64 y z)
y
z
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 y (/.f64 z y) y)
(+.f64 y z)
(+.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
(.f64 (sqrt.f64 (+.f64 y z)) (.f64 x (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
x
(*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 y (/.f64 z y) y)
y
z
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
(-.f64 y z)
#s(literal 3/2 binary64)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y) y))
(.f64 x (fma.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y) y))
(.f64 x (fma.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)) y))
(.f64 x (fma.f64 (/.f64 z y) (.f64 z #s(literal -1/2 binary64)) y))
x
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y))))
(+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y)
(fma.f64 z (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y)
(fma.f64 (/.f64 z y) (*.f64 z #s(literal -1/2 binary64)) y)
y
(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
#s(literal -1/2 binary64)
(*.f64 z (/.f64 z y))
(/.f64 (*.f64 z z) y)
z
(/.f64 z y)

localize88.0ms (1.5%)

Memory

24.2MiB live, 139.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y))))
✓	accuracy	100.0%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
✓	accuracy	99.7%	(*.f64 z (/.f64 z y))
	accuracy	100.0%	(sqrt.f64 (+.f64 y z))
✓	accuracy	100.0%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
✓	accuracy	67.4%	(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
✓	accuracy	100.0%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	accuracy	100.0%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
✓	accuracy	50.7%	(sqrt.f64 (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))

Samples

46.0ms

256×

valid

Compiler

Compiled 149 to 25 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (39% of total)

ival-pow: 6.0ms (19.5% of total)

ival-add: 4.0ms (13% of total)

ival-sqrt: 4.0ms (13% of total)

ival-div: 2.0ms (6.5% of total)

ival-cbrt: 2.0ms (6.5% of total)

ival-sub: 2.0ms (6.5% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series49.0ms (0.8%)

Memory

-11.8MiB live, 64.2MiB allocated

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))>
#<alt (*.f64 z (/.f64 z y))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))>
#<alt (sqrt.f64 (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))>
#<alt (.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))>
#<alt (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))>
#<alt (+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y))))>

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

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(/ z y)
5.0ms	z	@	0	(* (- y z) (* y (+ 1 (/ z y))))
4.0ms	y	@	inf	(* (- y z) (* y (+ 1 (/ z y))))
2.0ms	x	@	0	(* x (sqrt (* (- y z) (* y (+ 1 (/ z y))))))
2.0ms	y	@	-inf	(* x (* (sqrt (+ y z)) (cbrt (pow (- y z) 3/2))))

rewrite353.0ms (5.9%)

Memory

-14.5MiB live, 163.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log1p-expm1-u`
256×	`associate-r`
213×	`add-cube-cbrt`
212×	`expm1-log1p-u`
211×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	470
1	474	412
2	6794	412

Stop Event

1×	node limit

Counts

13 → 330

Calls

Call 1

Inputs
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 z y)
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
(*.f64 z (/.f64 z y))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
(sqrt.f64 (.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(.f64 (-.f64 y z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(+.f64 y (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y))))

Outputs
(+.f64 y (*.f64 y (/.f64 z y)))
(+.f64 y (.f64 (.f64 y (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 z y)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 z y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y (/.f64 z y)) (.f64 y (/.f64 z y))) (.f64 y (.f64 y (/.f64 z y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 z y)) (.f64 y (/.f64 z y)))) (-.f64 y (.f64 y (/.f64 z y))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) y) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 z y)) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 z y)) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (/.f64 z y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(exp.f64 (log1p.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
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(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y)))))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (*.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))))))) #s(literal 1 binary64))
(pow.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))))))))
(cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z)))))))
(log1p.f64 (expm1.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z)))))))
(exp.f64 (log.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 y (-.f64 y z)))))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))) #s(literal 1 binary64)))
(+.f64 (.f64 y (-.f64 y z)) (.f64 (-.f64 y z) (*.f64 y (/.f64 z y))))
(+.f64 (.f64 y (-.f64 y z)) (.f64 (*.f64 y (/.f64 z y)) (-.f64 y z)))
(+.f64 (.f64 y (-.f64 y z)) (.f64 (/.f64 z y) (*.f64 y (-.f64 y z))))
(+.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) y) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (neg.f64 z)))
(+.f64 (.f64 (.f64 y (-.f64 y z)) #s(literal 1 binary64)) (.f64 (.f64 y (-.f64 y z)) (/.f64 z y)))
(+.f64 (.f64 (.f64 y (-.f64 y z)) (/.f64 z y)) (.f64 (.f64 y (-.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (.f64 (neg.f64 z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(+.f64 (.f64 (/.f64 z y) (.f64 y (-.f64 y z))) (*.f64 y (-.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (.f64 (.f64 y (-.f64 y z)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)))
(/.f64 (.f64 (.f64 y (-.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (+.f64 y z))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))
(exp.f64 (+.f64 (log.f64 (*.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y))))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 z y) y)

simplify376.0ms (6.2%)

Memory

-0.5MiB live, 468.6MiB allocated

Algorithm

1×	egg-herbie

Rules

646×	`distribute-lft-in`
640×	`distribute-rgt-in`
439×	`*-commutative`
346×	`times-frac`
186×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1347	33172
1	3778	29102

Stop Event

1×	node limit

Counts

642 → 733

Calls

Call 1

Inputs
z
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
y
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
y
(+.f64 y z)
(+.f64 y z)
(+.f64 y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 z y)
(/.f64 (+.f64 y z) y)
(/.f64 (+.f64 y z) y)
(/.f64 (+.f64 y z) y)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))
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(+.f64 (.f64 (.f64 y (-.f64 y z)) #s(literal 1 binary64)) (.f64 (.f64 y (-.f64 y z)) (/.f64 z y)))
(+.f64 (.f64 (.f64 y (-.f64 y z)) (/.f64 z y)) (.f64 (.f64 y (-.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 y (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (.f64 (neg.f64 z) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(+.f64 (.f64 (/.f64 z y) (.f64 y (-.f64 y z))) (*.f64 y (-.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (.f64 (.f64 y (-.f64 y z)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 z y)))
(/.f64 (.f64 (.f64 y (-.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (+.f64 y z))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y z)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (.f64 y (-.f64 y z)))))
(exp.f64 (+.f64 (log.f64 (*.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y))))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 y (-.f64 y z))) (log1p.f64 (/.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 z y) y)

Outputs
z
(+.f64 y z)
(+.f64 z y)
(+.f64 y z)
(+.f64 z y)
(+.f64 y z)
(+.f64 z y)
y
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal -1 binary64)) (neg.f64 y))
y
(+.f64 y z)
(+.f64 z y)
(+.f64 y z)
(+.f64 z y)
(+.f64 y z)
(+.f64 z y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))
#s(literal 1 binary64)
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(/.f64 (+.f64 y z) y)
(/.f64 (+.f64 z y) y)
(/.f64 (+.f64 y z) y)
(/.f64 (+.f64 z y) y)
(/.f64 (+.f64 y z) y)
(/.f64 (+.f64 z y) y)
#s(literal 1 binary64)
#s(literal 1 binary64)
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (sqrt.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(.f64 x (sqrt.f64 (.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 y (+.f64 z (.f64 #s(literal -1 binary64) z)))) (.f64 z (sqrt.f64 #s(literal -1 binary64))))) (.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) y))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) y)
(+.f64 (pow.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 z y) y)

eval200.0ms (3.3%)

Memory: 29.3MiB live, 342.4MiB allocated
Compiler: Compiled 23 894 to 4 709 computations (80.3% saved)

prune292.0ms (4.9%)

Memory

-8.3MiB live, 269.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 015	1	1 016
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1 016	6	1 022

Accuracy

100.0%

Counts

1 022 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
✓	99.7%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
✓	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	99.2%	(*.f64 x y)

Compiler

Compiled 80 to 52 computations (35% saved)

simplify259.0ms (4.3%)

Memory

-2.3MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (/.f64 z y) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
✓	cost-diff	192	(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))

Rules

3 444×	`associate-*r/`
1 048×	`associate-/l/`
603×	`fma-define`
442×	`*-commutative`
428×	`associate-*l/`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	203
1	30	195
2	68	195
3	217	189
4	582	189
5	1076	186
6	1696	186
7	3013	186
8	3658	186
9	3834	186
10	3874	186
11	3885	186
12	3898	186
13	4261	186
14	4316	186
15	4316	186
16	4326	186
17	4326	186
18	4326	186
19	4989	186
20	5002	186
21	5002	186
22	5002	186
23	5002	186

Stop Event

1×	node limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

3.6MiB live, 42.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 z y) #s(literal 2 binary64))
✓	accuracy	93.3%	(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (32.2% of total)

ival-pow2: 4.0ms (32.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-add: 1.0ms (8% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 z y) #s(literal 2 binary64))>

Outputs
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>

Calls

33 calls:

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

rewrite138.0ms (2.3%)

Memory

-32.5MiB live, 58.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log1p-expm1-u`
667×	`expm1-log1p-u`
599×	`log-prod`
322×	`fma-define`
191×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	133
1	214	129
2	3042	129

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

Outputs
(+.f64 (.f64 y x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(+.f64 #s(literal 0 binary64) (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 (.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (.f64 (.f64 y x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))) (-.f64 (.f64 y x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (-.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))) y) (-.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(pow.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))))
(log.f64 (.f64 (exp.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (exp.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(exp.f64 (log.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 2 binary64)))
(fma.f64 y x (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 x y (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) y) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) y) (*.f64 y x))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) y) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) y) (.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) y) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 y x))) (cbrt.f64 (.f64 y x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))) (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (sqrt.f64 y)) (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y x))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y) (.f64 y x))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (*.f64 y x))
(fma.f64 (.f64 y (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (.f64 y (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (.f64 y x))
(fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(*.f64 (/.f64 z y) (/.f64 z y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 z y)) (/.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 (/.f64 z y)) (/.f64 z y)))
(.f64 (.f64 (/.f64 z y) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(.f64 (.f64 (/.f64 z y) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 z y) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(/.f64 z (*.f64 y (/.f64 y z)))
(/.f64 z (*.f64 (/.f64 y z) y))
(/.f64 (/.f64 z y) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 z (neg.f64 z)) (.f64 y (neg.f64 y)))
(/.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 z y) z) y)
(/.f64 (*.f64 (/.f64 z y) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 z (/.f64 z y)) y)
(/.f64 (*.f64 (neg.f64 z) (/.f64 z y)) (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y)))) #s(literal 1/3 binary64)))

simplify236.0ms (3.9%)

Memory

11.6MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Rules

419×	`associate-/r*`
308×	`distribute-lft-neg-in`
307×	`associate-r`
302×	`distribute-rgt-neg-in`
286×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	12568
1	950	10505
2	3287	10415

Stop Event

1×	node limit

Counts

282 → 207

Calls

Call 1

Inputs
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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(cbrt.f64 (pow.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(log1p.f64 (expm1.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(exp.f64 (log.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (fma.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) x)))) #s(literal 2 binary64)))
(fma.f64 y x (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 x y (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) y) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) y) (*.f64 y x))
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) y (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) y) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) y) (.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) y) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 y x))) (cbrt.f64 (.f64 y x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))) (cbrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (sqrt.f64 y)) (.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y x))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) (sqrt.f64 y)) (sqrt.f64 y) (.f64 y x))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (*.f64 y x))
(fma.f64 (.f64 y (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) (.f64 y x))
(fma.f64 (.f64 y (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) (.f64 y x))
(fma.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (/.f64 z y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(*.f64 (/.f64 z y) (/.f64 z y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 z y)) (/.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 (/.f64 z y)) (/.f64 z y)))
(.f64 (.f64 (/.f64 z y) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(.f64 (.f64 (/.f64 z y) z) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 z y) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(/.f64 z (*.f64 y (/.f64 y z)))
(/.f64 z (*.f64 (/.f64 y z) y))
(/.f64 (/.f64 z y) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 z (neg.f64 z)) (.f64 y (neg.f64 y)))
(/.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (*.f64 (/.f64 z y) z) y)
(/.f64 (*.f64 (/.f64 z y) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 z (/.f64 z y)) y)
(/.f64 (*.f64 (neg.f64 z) (/.f64 z y)) (neg.f64 y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y)))) #s(literal 1/3 binary64)))

Outputs
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(fabs.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 z (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 (/.f64 z y) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 z y)) (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 (/.f64 z y)) (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 z y) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 z y) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 z y) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 z (*.f64 y (/.f64 y z)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 z (*.f64 (/.f64 y z) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (/.f64 z y) (/.f64 y z))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 y z)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (neg.f64 z) (*.f64 (/.f64 y z) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 z) (neg.f64 z)) (.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (.f64 z (neg.f64 z)) (.f64 y (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 y) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 z y) z) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 z y) (neg.f64 z)) (neg.f64 y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (*.f64 z (/.f64 z y)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) (/.f64 z y)) (neg.f64 y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y))) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z y)))) #s(literal 1/3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 2 binary64))

eval59.0ms (1%)

Memory: -18.1MiB live, 59.3MiB allocated
Compiler: Compiled 4 103 to 873 computations (78.7% saved)

prune32.0ms (0.5%)

Memory

-1.9MiB live, 79.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	207	6	213

Accuracy

100.0%

Counts

213 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (/.f64 z y) (/.f64 y z))))))
✓	99.7%	(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
✓	67.9%	(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
✓	99.2%	(*.f64 x y)

Compiler

Compiled 196 to 104 computations (46.9% saved)

regimes29.0ms (0.5%)

Memory

27.6MiB live, 66.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (/.f64 z y) (/.f64 y z))))))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (+.f64 y z))))
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(.f64 x (sqrt.f64 (.f64 (-.f64 y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))

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

Calls

8 calls:

4.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	x
4.0ms	z
3.0ms	y
3.0ms	(-.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 58 to 38 computations (34.5% saved)

regimes5.0ms (0.1%)

Memory

-27.8MiB live, 11.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

3 calls:

2.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	59
1	21	59

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness167.0ms (2.8%)

Memory

-3.1MiB live, 76.3MiB allocated

Rules

1 150×	`log1p-expm1-u`
515×	`expm1-log1p-u`
194×	`associate-r`
170×	`add-cube-cbrt`
168×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	393
1	416	355
2	5486	355

Stop Event

1×	fuel
1×	node limit

Compiler

Compiled 53 to 30 computations (43.4% saved)

preprocess38.0ms (0.6%)

Memory

36.7MiB live, 114.5MiB allocated

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze99.0ms (1.6%)

sample911.0ms (15.2%)

preprocess234.0ms (3.9%)

explain102.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (3.1%)

localize34.0ms (0.6%)

series18.0ms (0.3%)

rewrite270.0ms (4.5%)

simplify265.0ms (4.4%)

eval57.0ms (1%)

prune63.0ms (1%)

simplify129.0ms (2.2%)

localize66.0ms (1.1%)

series63.0ms (1.1%)

rewrite430.0ms (7.2%)

simplify350.0ms (5.8%)

eval133.0ms (2.2%)

prune155.0ms (2.6%)

simplify78.0ms (1.3%)

localize88.0ms (1.5%)

series49.0ms (0.8%)

rewrite353.0ms (5.9%)

simplify376.0ms (6.2%)

eval200.0ms (3.3%)

prune292.0ms (4.9%)

simplify259.0ms (4.3%)

localize33.0ms (0.5%)

series14.0ms (0.2%)

rewrite138.0ms (2.3%)

simplify236.0ms (3.9%)

eval59.0ms (1%)

prune32.0ms (0.5%)

regimes29.0ms (0.5%)

regimes5.0ms (0.1%)

simplify2.0ms (0%)

soundness167.0ms (2.8%)

preprocess38.0ms (0.6%)

end0.0ms (0%)

Profiling