Metrics for Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

analyze2.0ms (0%)

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
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.6s (24.9%)

Results

1.5s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

Operation ival-mult, time spent: 262.0ms, 50.0% of total-time

Operation ival-add, time spent: 97.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 83.0ms, 16.0% of total-time

Operation ival-div, time spent: 68.0ms, 13.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Bogosity

preprocess377.0ms (6%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg`
285×	`fma-define`
111×	`cancel-sign-sub`
88×	`div-sub`
75×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
164	-	-	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
0	-	-	`x`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`(*.f64 x x)`
0	-	-	`z`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	617
1	92	573
2	184	573
3	406	573
4	780	573
5	1218	573
6	1826	573
7	2217	573

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 z z) (.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))

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

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 141 to 41 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

Operation ival-mult, time spent: 89.0ms, 82.0% of total-time

Operation ival-div, time spent: 7.0ms, 6.0% of total-time

Operation ival-add, time spent: 6.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 52 to 24 computations (53.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶	40.5%	(sqrt.f64 (/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64)))
▶	40.5%	(sqrt.f64 (.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

40.5%

(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

▶

40.5%

(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))

▶

40.5%

(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize301.0ms (4.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	100.0%	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	99.9%	(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓	99.9%	(/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64))
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64)))
✓	100.0%	(fma.f64 y y (fma.f64 x x (*.f64 z z)))
✓	99.8%	(.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64))
✓	40.5%	(sqrt.f64 (.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64)))

Compiler

Compiled 158 to 31 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

Operation ival-div, time spent: 57.0ms, 56.0% of total-time

Operation ival-mult, time spent: 18.0ms, 18.0% of total-time

Operation composed, time spent: 12.0ms, 12.0% of total-time

Operation ival-add, time spent: 8.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 6.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

series55.0ms (0.9%)

Counts

9 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms	z	@	inf	(sqrt (/ (+ (* x x) (+ (* z z) (* y y))) 3))
2.0ms	y	@	0	(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms	z	@	0	(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms	x	@	0	(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))

rewrite407.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`log1p-expm1-u`
582×	`expm1-log1p-u`
179×	`add-exp-log`
179×	`add-log-exp`
177×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	376
1	413	273
2	5823	273

Stop Event

1×	node limit

Counts

9 → 346

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64)))
(.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64))
(fma.f64 y y (fma.f64 x x (*.f64 z z)))
(sqrt.f64 (/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 y (hypot.f64 x z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(/.f64 (hypot.f64 y (hypot.f64 x z)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 y (hypot.f64 x z))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 y (hypot.f64 x z))) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) (hypot.f64 y (hypot.f64 x z))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(/.f64 (.f64 (hypot.f64 y (hypot.f64 x z)) (.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z)))) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 y (hypot.f64 x z))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(*.f64 (hypot.f64 y (hypot.f64 x z)) (hypot.f64 y (hypot.f64 x z)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y (hypot.f64 x z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 z z (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(fma.f64 (hypot.f64 z y) (hypot.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (hypot.f64 y x) (hypot.f64 y x) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y x) (hypot.f64 y x))
(.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))

simplify583.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

933×	`times-frac`
421×	`associate-r`
363×	`associate-l`
284×	`*-commutative`
268×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	40502
1	1506	35721
2	5245	35721

Stop Event

1×	node limit

Counts

658 → 384

Calls

Call 1

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

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

eval204.0ms (3.2%)

Compiler: Compiled 8445 to 5861 computations (30.6% saved)

prune120.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	381	3	384
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	383	4	387

Accuracy

100.0%

Counts

387 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
▶	98.2%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize105.0ms (1.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

Operation composed, time spent: 25.0ms, 37.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 25.0% of total-time

Operation ival-mult, time spent: 15.0ms, 22.0% of total-time

Operation ival-add, time spent: 6.0ms, 9.0% of total-time

Operation ival-div, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series25.0ms (0.4%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))>

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

Calls

18 calls:

Time	Variable		Expression
3.0ms	z	@	(* (sqrt 1/3) (sqrt (+ (* z z) (* y y))))
1.0ms	z	@	(* (sqrt 1/3) z)
1.0ms	x	@	(/ (sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y))) (sqrt 3))
1.0ms	z	@	(/ (sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y))) (sqrt 3))
1.0ms	y	@	(/ (sqrt (+ (* (sqrt (+ (* x x) (* z z))) (sqrt (+ (* x x) (* z z)))) (* y y))) (sqrt 3))

rewrite115.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1019×	`log1p-expm1-u`
1019×	`expm1-log1p-u`
570×	`log-prod`
204×	`expm1-undefine`
204×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	69
1	237	69
2	2861	69

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))

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

simplify136.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

845×	`distribute-lft-in`
830×	`distribute-rgt-in`
599×	`times-frac`
318×	`fma-define`
289×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	8969
1	1245	8595
2	4478	8571

Stop Event

1×	node limit

Counts

147 → 283

Calls

Call 1

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

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

eval170.0ms (2.7%)

Compiler: Compiled 7562 to 5880 computations (22.2% saved)

prune175.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	282	5	287

Accuracy

100.0%

Counts

287 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
▶	98.2%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓	98.2%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize66.0ms (1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓	99.4%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))

Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions

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

Operation ival-sqrt, time spent: 12.0ms, 39.0% of total-time

Operation composed, time spent: 8.0ms, 26.0% of total-time

Operation ival-div, time spent: 4.0ms, 13.0% of total-time

Operation ival-mult, time spent: 4.0ms, 13.0% of total-time

Operation ival-add, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series10.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))>

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms	y	@	0	(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms	z	@	inf	(/ z (sqrt 3))
1.0ms	z	@	0	(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms	z	@	inf	(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))

rewrite95.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log1p-expm1-u`
657×	`expm1-log1p-u`
630×	`unpow-prod-down`
353×	`log-prod`
187×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	138	37
2	1803	37

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))

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

simplify249.0ms (4%)

Algorithm

1×	egg-herbie

Rules

663×	`times-frac`
657×	`associate-*r/`
523×	`associate-*l/`
315×	`distribute-lft-in`
296×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	6634
1	1086	6407
2	3030	6347

Stop Event

1×	node limit

Counts

178 → 279

Calls

Call 1

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

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

eval101.0ms (1.6%)

Compiler: Compiled 4551 to 3439 computations (24.4% saved)

prune44.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	278	6	284

Accuracy

100.0%

Counts

284 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓	98.2%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓	98.2%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
▶	97.5%	(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 60 to 47 computations (21.7% saved)

localize59.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.4%	(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓	98.4%	(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))

Compiler

Compiled 27 to 23 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-sqrt, time spent: 10.0ms, 44.0% of total-time

Operation ival-neg, time spent: 5.0ms, 22.0% of total-time

Operation ival-div, time spent: 4.0ms, 17.0% of total-time

Operation ival-mult, time spent: 2.0ms, 9.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

series1.0ms (0%)

Counts

2 → 12

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))>

Outputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms	z	@	inf	(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms	z	@	-inf	(* (neg z) (/ 1 (neg (sqrt 3))))

rewrite39.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

60×	`add-cube-cbrt`
59×	`add-exp-log`
59×	`add-log-exp`
59×	`log1p-expm1-u`
59×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	147	37
2	1957	37

Stop Event

1×

unsound

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))

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

simplify125.0ms (2%)

Algorithm

1×	egg-herbie

Rules

610×	`sub-neg`
385×	`associate-+r-`
314×	`*-commutative`
302×	`distribute-lft-in`
300×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1036
1	184	1034
2	497	966
3	1750	770
4	3023	770
5	4805	770
6	6876	770

Stop Event

1×	node limit

Counts

63 → 70

Calls

Call 1

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

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

eval15.0ms (0.2%)

Compiler: Compiled 531 to 427 computations (19.6% saved)

prune14.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	70	6	76

Accuracy

100.0%

Counts

76 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓	98.2%	(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓	98.2%	(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓	97.5%	(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓	40.5%	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Compiler

Compiled 138 to 93 computations (32.6% saved)

regimes39.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 (hypot.f64 x z) y) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (.f64 (fma.f64 y y (fma.f64 x x (.f64 z z))) #s(literal 1/3 binary64)))

Outputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))

Calls

10 calls:

6.0ms	(*.f64 z z)
5.0ms	x
5.0ms	z
4.0ms	(*.f64 y y)
4.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
99.4%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
99.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes23.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))

Calls

10 calls:

3.0ms	x
3.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
3.0ms	(*.f64 y y)
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`z`
99.4%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
99.4%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
99.4%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
99.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes21.0ms (0.3%)

Accuracy

Total -37.4b remaining (-3210.7%)

Threshold costs -37.4b (-3210.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))

Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)

Calls

10 calls:

3.0ms	(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`y`
98.2%	1	`z`
98.2%	1	`(sqrt.f64 (/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))`
98.2%	1	`(/.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))`
98.2%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
98.2%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.2%	1	`(*.f64 x x)`
98.2%	1	`(*.f64 y y)`
98.2%	1	`(*.f64 z z)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	18	60

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)

Outputs
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

Compiler

Compiled 25 to 20 computations (20% saved)

soundness954.0ms (15.1%)

Rules

980×	`log1p-expm1-u`
933×	`times-frac`
845×	`distribute-lft-in`
830×	`distribute-rgt-in`
696×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	8969
1	1245	8595
2	4478	8571
0	604	40502
1	1506	35721
2	5245	35721
0	28	376
1	413	273
2	5823	273
0	50	617
1	92	573
2	184	573
3	406	573
4	780	573
5	1218	573
6	1826	573
7	2217	573

Stop Event

1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 643 to 359 computations (44.2% saved)

end0.0ms (0%)

preprocess103.0ms (1.6%)

Compiler: Compiled 430 to 322 computations (25.1% saved)

analyze2.0ms (0%)

sample1.6s (24.9%)

preprocess377.0ms (6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize301.0ms (4.8%)

series55.0ms (0.9%)

rewrite407.0ms (6.4%)

simplify583.0ms (9.2%)

eval204.0ms (3.2%)

prune120.0ms (1.9%)

localize105.0ms (1.7%)

series25.0ms (0.4%)

rewrite115.0ms (1.8%)

simplify136.0ms (2.1%)

eval170.0ms (2.7%)

prune175.0ms (2.8%)

localize66.0ms (1%)

series10.0ms (0.2%)

rewrite95.0ms (1.5%)

simplify249.0ms (4%)

eval101.0ms (1.6%)

prune44.0ms (0.7%)

localize59.0ms (0.9%)

series1.0ms (0%)

rewrite39.0ms (0.6%)

simplify125.0ms (2%)

eval15.0ms (0.2%)

prune14.0ms (0.2%)

regimes39.0ms (0.6%)

regimes23.0ms (0.4%)

regimes21.0ms (0.3%)

simplify4.0ms (0.1%)

soundness954.0ms (15.1%)

end0.0ms (0%)

preprocess103.0ms (1.6%)

Profiling