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

analyze128.0ms (2.8%)

Memory

13.4MiB live, 172.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample1.5s (33.3%)

Memory

3.9MiB live, 1 498.9MiB allocated

Samples

976.0ms	8 256×	0	valid
195.0ms	2 551×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 461.0ms (70.6% of total)

ival-sqrt: 131.0ms (20.1% of total)

ival-sub: 49.0ms (7.5% of total)

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

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

Bogosity

preprocess236.0ms (5.1%)

Memory

6.5MiB live, 127.2MiB 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)

explain133.0ms (2.9%)

Memory

-10.2MiB live, 226.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
133	-	1	(3.323994706260104e+191 5.881043724792517e-161 5.918308924449058e-177)	`(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	117	0
↳	`(*.f64 y y)`	overflow	117
↳	`(-.f64 (.f64 y y) (.f64 z z))`	overflow	117
↳	`(*.f64 z z)`	overflow	16
`-.f64`	`(-.f64 (.f64 y y) (.f64 z z))`	nan-rescue	16	0
↳	`(*.f64 y y)`	overflow	117
↳	`(*.f64 z z)`	overflow	16
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))`	uflow-rescue	15	0
↳	`(*.f64 y y)`	underflow	15
↳	`(-.f64 (.f64 y y) (.f64 z z))`	underflow	15
↳	`(*.f64 z z)`	underflow	107

Confusion

	Predicted +	Predicted -
+	90	1
-	42	123

Precision

0.6818181818181818

Recall

0.989010989010989

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	1
-	42	0	123

Precision?

0.6818181818181818

Recall?

0.989010989010989

Freqs

test

number	freq
0	124
1	116
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

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 (63% of total)

ival-sqrt: 4.0ms (25.2% of total)

ival-sub: 2.0ms (12.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify185.0ms (4%)

Memory

-1.5MiB live, 41.4MiB 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

localize26.0ms (0.6%)

Memory

-3.4MiB live, 73.7MiB 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	51.8%	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Samples

15.0ms

256×

valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

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

ival-mult: 5.0ms (61.8% of total)

ival-sqrt: 2.0ms (24.7% of total)

ival-sub: 1.0ms (12.4% of total)

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

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

series14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB 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
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))))
1.0ms	y	@	inf	(* x (sqrt (- (* y y) (* z z))))

rewrite338.0ms (7.3%)

Memory

-44.6MiB live, 495.5MiB 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)))

simplify294.0ms (6.4%)

Memory

13.7MiB live, 414.4MiB 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))

eval59.0ms (1.3%)

Memory: -8.0MiB live, 145.5MiB allocated
Compiler: Compiled 10 933 to 1 663 computations (84.8% saved)

prune62.0ms (1.3%)

Memory

-0.8MiB live, 199.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	445	2	447
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	445	3	448

Accuracy

100.0%

Counts

448 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	66.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
▶	99.3%	(*.f64 x y)

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify55.0ms (1.2%)

Memory

9.3MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

202×	`fma-define`
84×	`associate-r`
78×	`fmm-def`
53×	`associate-l`
48×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	180
1	25	180
2	37	180
3	47	180
4	57	180
5	86	180
6	131	180
7	185	180
8	295	180
9	439	180
10	516	180
11	673	180
12	810	180
13	898	180
14	920	180
15	961	180
16	983	180

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x y)
x
y
(.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)

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

localize39.0ms (0.8%)

Memory

6.4MiB live, 88.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 y z))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 y z))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
✓	accuracy	100.0%	(*.f64 x y)

Samples

25.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-mult: 5.0ms (48.3% of total)

ival-sqrt: 3.0ms (29% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

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

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

series37.0ms (0.8%)

Memory

-25.9MiB live, 96.9MiB allocated

Counts

6 → 126

Calls

Call 1

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

Outputs
#<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)>
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#<alt (*.f64 x y)>
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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 z (sqrt.f64 #s(literal -1 binary64)))>
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#<alt y>
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#<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 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 (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))))))))>

Calls

39 calls:

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

rewrite155.0ms (3.4%)

Memory

32.5MiB live, 110.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 055×	`log1p-expm1-u`
1 055×	`expm1-log1p-u`
534×	`prod-diff`
291×	`fma-define`
122×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	139
1	224	127
2	2949	127

Stop Event

1×	node limit

Counts

6 → 147

Calls

Call 1

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

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

simplify142.0ms (3.1%)

Memory

-12.5MiB live, 265.2MiB allocated

Algorithm

1×	egg-herbie

Rules

747×	`fma-define`
667×	`associate-r`
520×	`associate-l`
494×	`distribute-lft-in`
484×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	850	14889
1	2533	12141

Stop Event

1×	node limit

Counts

273 → 416

Calls

Call 1

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

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

eval59.0ms (1.3%)

Memory: 16.4MiB live, 137.6MiB allocated
Compiler: Compiled 11 235 to 2 162 computations (80.8% saved)

prune64.0ms (1.4%)

Memory

-19.7MiB live, 176.9MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	414	2	416
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	414	5	419

Accuracy

100.0%

Counts

419 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
▶	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	66.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	99.3%	(*.f64 x y)

Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify78.0ms (1.7%)

Memory

6.6MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(cbrt.f64 (*.f64 x y))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
	cost-diff	0	(sqrt.f64 (+.f64 y z))
✓	cost-diff	6528	(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	6528	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

Rules

410×	`fma-define`
146×	`associate-r`
131×	`distribute-lft-in`
124×	`fmm-def`
107×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	256
1	35	238
2	56	232
3	84	232
4	103	232
5	132	232
6	183	232
7	236	232
8	349	232
9	533	232
10	667	232
11	978	232
12	1216	232
13	1866	232
14	1934	232
15	2039	232
16	2083	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
x
(*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
y
z
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y z) #s(literal 1/4 binary64))
(-.f64 y z)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)

Outputs
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x (pow.f64 (-.f64 y z) #s(literal 1/2 binary64))) (sqrt.f64 (+.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)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
y
z
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 y z))
(pow.f64 (-.f64 y z) #s(literal 1/4 binary64))
(-.f64 y z)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(cbrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)

localize92.0ms (2%)

Memory

0.9MiB live, 120.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
✓	accuracy	76.1%	(cbrt.f64 (*.f64 x y))
✓	accuracy	100.0%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	accuracy	100.0%	(sqrt.f64 (+.f64 y z))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

71.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 38.0ms (63.6% of total)

ival-mult: 7.0ms (11.7% of total)

ival-pow: 7.0ms (11.7% of total)

ival-sqrt: 2.0ms (3.3% of total)

ival-pow2: 2.0ms (3.3% of total)

ival-cbrt: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series26.0ms (0.6%)

Memory

19.8MiB live, 58.4MiB allocated

Counts

5 → 116

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow (cbrt (* x y)) 3)
2.0ms	y	@	-inf	(pow (cbrt (* x y)) 3)
2.0ms	x	@	inf	(cbrt (* x y))
2.0ms	y	@	inf	(cbrt (* x y))
2.0ms	x	@	0	(cbrt (* x y))

rewrite129.0ms (2.8%)

Memory

-7.8MiB live, 74.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log1p-expm1-u`
739×	`expm1-log1p-u`
534×	`prod-diff`
304×	`fma-define`
210×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	293	114
2	3487	114

Stop Event

1×	node limit

Counts

5 → 117

Calls

Call 1

Inputs
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x y))

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

simplify130.0ms (2.8%)

Memory

8.3MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Rules

598×	`fma-define`
560×	`associate-r`
448×	`associate-l`
379×	`distribute-lft-in`
372×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	12348
1	2098	9722

Stop Event

1×	node limit

Counts

233 → 311

Calls

Call 1

Inputs
(.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))))
(+.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 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/6 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (pow.f64 (.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (.f64 x y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 x)) (cbrt.f64 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 1/6 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/6 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 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x y)))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) #s(literal 1 binary64)))

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

eval88.0ms (1.9%)

Memory: -17.3MiB live, 137.3MiB allocated
Compiler: Compiled 11 006 to 2 021 computations (81.6% saved)

prune60.0ms (1.3%)

Memory

-14.3MiB live, 185.5MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	418	0	418
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	418	5	423

Accuracy

100.0%

Counts

423 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.8%	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	99.5%	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓	66.0%	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
✓	99.3%	(*.f64 x y)

Compiler

Compiled 106 to 64 computations (39.6% saved)

regimes19.0ms (0.4%)

Memory

16.4MiB live, 56.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes15.0ms (0.3%)

Memory

5.0MiB live, 47.3MiB allocated

Accuracy

Total -22.2b remaining (-5169.8%)

Threshold costs -22.2b (-5169.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x y)

Calls

8 calls:

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

Results

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`+-commutative`
2×	`sub-neg`
1×	`neg-sub0`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	23	61
2	28	61
3	30	61
4	31	61

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness373.0ms (8.1%)

Memory

-18.3MiB live, 454.6MiB allocated

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	729	18119
1	1856	16910
2	5736	15563
0	15	102
1	187	102
2	2378	98

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 104 to 46 computations (55.8% saved)

preprocess38.0ms (0.8%)

Memory

-3.1MiB live, 112.9MiB 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

Iter	Nodes	Cost
0	17	180
1	25	180
2	37	180
3	47	180
4	57	180
5	86	180
6	131	180
7	185	180
8	295	180
9	439	180
10	516	180
11	673	180
12	810	180
13	898	180
14	920	180
15	961	180
16	983	180

Iter	Nodes	Cost
0	17	180
1	25	180
2	37	180
3	47	180
4	57	180
5	86	180
6	131	180
7	185	180
8	295	180
9	439	180
10	516	180
11	673	180
12	810	180
13	898	180
14	920	180
15	961	180
16	983	180

analyze128.0ms (2.8%)

sample1.5s (33.3%)

preprocess236.0ms (5.1%)

explain133.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify185.0ms (4%)

localize26.0ms (0.6%)

series14.0ms (0.3%)

rewrite338.0ms (7.3%)

simplify294.0ms (6.4%)

eval59.0ms (1.3%)

prune62.0ms (1.3%)

simplify55.0ms (1.2%)

localize39.0ms (0.8%)

series37.0ms (0.8%)

rewrite155.0ms (3.4%)

simplify142.0ms (3.1%)

eval59.0ms (1.3%)

prune64.0ms (1.4%)

simplify78.0ms (1.7%)

localize92.0ms (2%)

series26.0ms (0.6%)

rewrite129.0ms (2.8%)

simplify130.0ms (2.8%)

eval88.0ms (1.9%)

prune60.0ms (1.3%)

regimes19.0ms (0.4%)

regimes15.0ms (0.3%)

simplify3.0ms (0.1%)

soundness373.0ms (8.1%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	180
1	25	180
2	37	180
3	47	180
4	57	180
5	86	180
6	131	180
7	185	180
8	295	180
9	439	180
10	516	180
11	673	180
12	810	180
13	898	180
14	920	180
15	961	180
16	983	180