Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

analyze55.0ms (0.8%)

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

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

ival-div: 7.0ms (31.5% of total)

ival-mult: 7.0ms (31.5% of total)

ival-sqrt: 4.0ms (18% of total)

ival-add: 3.0ms (13.5% of total)

const: 1.0ms (4.5% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (17.9%)

Results

649.0ms	8256×	0	valid
188.0ms	2110×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 521.0ms

ival-mult: 156.0ms (30% of total)

ival-div: 153.0ms (29.4% of total)

ival-sqrt: 99.0ms (19% of total)

ival-add: 92.0ms (17.7% of total)

const: 18.0ms (3.5% of total)

backward-pass: 4.0ms (0.8% of total)

Bogosity

preprocess185.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg`
453×	`fma-define`
244×	`unsub-neg`
182×	`distribute-lft-neg-in`
156×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332

Stop Event

1×

saturated

Calls

Call 1

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

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

explain91.0ms (1.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y (sqrt.f64 z))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
-	-	`(sqrt.f64 z)`
-	-	`z`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`

Results

52.0ms

512×

valid

Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 8.0ms (33% of total)

ival-mult: 7.0ms (28.9% of total)

ival-sqrt: 4.0ms (16.5% of total)

ival-add: 3.0ms (12.4% of total)

const: 2.0ms (8.3% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize284.0ms (4.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(fma.f64 y (sqrt.f64 z) x)
✓	99.6%	(*.f64 y (sqrt.f64 z))

Results

272.0ms

256×

valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.2% of total)

ival-fma: 3.0ms (23.6% of total)

ival-sqrt: 2.0ms (15.7% of total)

ival-add: 1.0ms (7.9% of total)

const: 1.0ms (7.9% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts

2 → 40

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* y (sqrt z))
1.0ms	z	@	-inf	(* y (sqrt z))
1.0ms	y	@	0	(* y (sqrt z))
0.0ms	z	@	inf	(* y (sqrt z))
0.0ms	z	@	0	(* y (sqrt z))

rewrite184.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log1p-expm1-u`
481×	`expm1-log1p-u`
463×	`add-exp-log`
462×	`unpow-prod-down`
422×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	126	39
2	1352	39

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg`
500×	`associate-r`
438×	`fma-define`
434×	`associate-l`
360×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	3224
1	401	2861
2	1191	2711
3	5156	2653

Stop Event

1×	node limit

Counts

98 → 83

Calls

Call 1

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

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

eval14.0ms (0.2%)

Compiler: Compiled 1163 to 550 computations (52.7% saved)

prune21.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	75	10	85

Accuracy

100.0%

Counts

85 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
	47.3%	(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x)))
▶	99.2%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 3 binary64))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	96.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
▶	98.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x))))
	83.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
	89.9%	(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
▶	89.9%	(.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶	56.0%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 297 to 204 computations (31.3% saved)

localize324.0ms (4.7%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	99.8%	(fma.f64 y (sqrt.f64 z) x)
✓	99.5%	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
✓	99.2%	(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
✓	92.4%	(cbrt.f64 (fma.f64 y (sqrt.f64 z) x))
	99.6%	(*.f64 y (sqrt.f64 z))
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
✓	87.2%	(cbrt.f64 (*.f64 y (sqrt.f64 z)))
✓	95.7%	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))
✓	99.8%	(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	99.6%	(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

Results

183.0ms

256×

valid

Compiler

Compiled 194 to 73 computations (62.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 67.0ms (49.4% of total)

ival-pow: 24.0ms (17.7% of total)

ival-div: 11.0ms (8.1% of total)

ival-fma: 9.0ms (6.6% of total)

ival-sqrt: 9.0ms (6.6% of total)

ival-add: 7.0ms (5.2% of total)

ival-cbrt: 4.0ms (2.9% of total)

const: 3.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series220.0ms (3.2%)

Counts

10 → 241

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/3 binary64) (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) z) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (*.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (cbrt.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) z) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>

Calls

72 calls:

Time	Variable		Point	Expression
62.0ms	z	@	0	(cbrt (* y (sqrt z)))
32.0ms	y	@	0	(cbrt (* y (sqrt z)))
19.0ms	y	@	-inf	(cbrt (+ (* y (sqrt z)) x))
7.0ms	x	@	0	(pow (cbrt (+ (* y (sqrt z)) x)) 2)
7.0ms	z	@	inf	(cbrt (* y (sqrt z)))

rewrite195.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1039×	`log1p-expm1-u`
871×	`expm1-log1p-u`
159×	`add-exp-log`
159×	`add-log-exp`
159×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	259
1	413	239
2	4882	239

Stop Event

1×	node limit

Counts

10 → 244

Calls

Call 1

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

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

simplify265.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

724×	`fma-define`
443×	`*-commutative`
371×	`distribute-lft-in`
370×	`distribute-rgt-in`
241×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1228	51539631484
1	3140	51539630202

Stop Event

1×	node limit

Counts

485 → 519

Calls

Call 1

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

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

eval374.0ms (5.4%)

Compiler: Compiled 26188 to 16229 computations (38% saved)

prune250.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	759	4	763
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	765	8	773

Accuracy

100.0%

Counts

773 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (/.f64 z (sqrt.f64 z)) y) x))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	45.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
▶	83.4%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶	90.1%	(.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y)))))
✓	89.9%	(.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓	56.0%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 172 to 126 computations (26.7% saved)

localize299.0ms (4.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	99.5%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	99.7%	(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓	98.9%	(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓	83.5%	(.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓	95.4%	(/.f64 (sqrt.f64 z) (/.f64 x y))
✓	91.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x y))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
✓	99.6%	(*.f64 (sqrt.f64 z) y)
✓	99.6%	(*.f64 (/.f64 z (sqrt.f64 z)) y)
✓	99.2%	(/.f64 z (sqrt.f64 z))

Results

233.0ms

256×

valid

Compiler

Compiled 202 to 89 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-pow: 71.0ms (41.8% of total)

ival-mult: 46.0ms (27.1% of total)

ival-sqrt: 19.0ms (11.2% of total)

ival-div: 18.0ms (10.6% of total)

ival-add: 11.0ms (6.5% of total)

const: 4.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series97.0ms (1.4%)

Counts

11 → 268

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 z (+.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (/.f64 x z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 y z))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 y z))))>
#<alt (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (.f64 y z))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (.f64 x (+.f64 (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 x (+.f64 (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 x (+.f64 (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))>
#<alt (.f64 y (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) y)>

Calls

75 calls:

Time	Variable		Point	Expression
36.0ms	z	@	-inf	(* (pow z 1/4) y)
19.0ms	y	@	0	(* (pow z 1/4) y)
9.0ms	z	@	0	(* (pow z 1/4) y)
2.0ms	y	@	0	(+ (* y (sqrt (/ 1 z))) (/ x z))
1.0ms	z	@	-inf	(* (/ z (sqrt z)) y)

rewrite300.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`log1p-expm1-u`
244×	`associate-r`
223×	`expm1-log1p-u`
208×	`add-exp-log`
206×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	310
1	504	256
2	7118	256

Stop Event

1×	node limit

Counts

11 → 319

Calls

Call 1

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

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

simplify338.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg`
505×	`associate-r`
459×	`associate-l`
408×	`cube-prod`
408×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	636	17033
1	1441	16552
2	5708	16519

Stop Event

1×	node limit

Counts

587 → 360

Calls

Call 1

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

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

eval142.0ms (2.1%)

Compiler: Compiled 6674 to 3474 computations (47.9% saved)

prune78.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	395	4	399
Fresh	0	0	0
Picked	4	1	5
Done	1	2	3
Total	400	7	407

Accuracy

100.0%

Counts

407 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 z y) (sqrt.f64 z)) x))
▶	99.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	45.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
▶	83.5%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 (+.f64 x (*.f64 (sqrt.f64 z) y)) z)))
▶	43.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	56.0%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 76 to 55 computations (27.6% saved)

localize222.0ms (3.2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	90.1%	(/.f64 (*.f64 z y) (sqrt.f64 z))
✓	99.6%	(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
	99.6%	(*.f64 (sqrt.f64 z) y)
✓	93.2%	(/.f64 (+.f64 x (*.f64 (sqrt.f64 z) y)) z)
✓	83.5%	(.f64 z (/.f64 (+.f64 x (.f64 (sqrt.f64 z) y)) z))
✓	77.8%	(*.f64 z (/.f64 x z))

Results

186.0ms

256×

valid

Compiler

Compiled 130 to 40 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 89.0ms (60.4% of total)

ival-pow: 33.0ms (22.4% of total)

ival-mult: 15.0ms (10.2% of total)

ival-add: 6.0ms (4.1% of total)

ival-sqrt: 2.0ms (1.4% of total)

const: 2.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts

5 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ y (pow z -1/2))
1.0ms	z	@	-inf	(/ (+ x (* (sqrt z) y)) z)
0.0ms	z	@	0	(/ (+ x (* (sqrt z) y)) z)
0.0ms	x	@	-inf	(/ (+ x (* (sqrt z) y)) z)
0.0ms	y	@	-inf	(/ (+ x (* (sqrt z) y)) z)

rewrite205.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`prod-diff`
822×	`log1p-expm1-u`
151×	`expm1-log1p-u`
148×	`add-exp-log`
147×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	331	136
2	4869	136

Stop Event

1×	node limit

Counts

5 → 174

Calls

Call 1

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

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

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-define`
274×	`distribute-rgt-in`
272×	`distribute-lft-in`
241×	`distribute-lft-neg-out`
204×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	7568
1	1007	7229
2	3099	7200

Stop Event

1×	node limit

Counts

318 → 231

Calls

Call 1

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

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

eval42.0ms (0.6%)

Compiler: Compiled 3229 to 1534 computations (52.5% saved)

prune48.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	228	4	232
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	229	10	239

Accuracy

100.0%

Counts

239 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z x) z))
	44.4%	(*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 z x)))
	47.3%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (.f64 z x))))
✓	95.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 z y) (sqrt.f64 z)) x))
✓	99.8%	(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
	95.2%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y)) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	45.1%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
✓	43.9%	(.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 x z)))
✓	56.0%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 364 to 214 computations (41.2% saved)

regimes64.0ms (0.9%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	(sqrt.f64 z)
7.0ms	z
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes17.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes28.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
7.0ms	x
6.0ms	(sqrt.f64 z)
6.0ms	z

Results

Accuracy	Segments	Branch
78.8%	3	`x`
76.4%	5	`y`
66.8%	4	`z`
66.8%	4	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -14.6b remaining (-51.8%)

Threshold costs -14.6b (-51.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

3.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
56.0%	1	`z`
56.0%	1	`y`
56.0%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.4696709432599756e-92	6.0731945053151985e-86
18.0ms	-9.745415068010532e-77	-8.806344772903192e-85

Results

21.0ms

288×

valid

Compiler

Compiled 325 to 267 computations (17.8% saved)

Precisions

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

ival-mult: 4.0ms (38.1% of total)

ival-div: 2.0ms (19.1% of total)

ival-sqrt: 2.0ms (19.1% of total)

ival-add: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	140
1	45	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -8865180569007683/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 3807566061702267/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(if (<=.f64 x #s(literal -8865180569007683/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 3807566061702267/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -8865180569007683/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (not (<=.f64 x #s(literal 3807566061702267/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)))) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)

soundness983.0ms (14.3%)

Rules

1039×	`log1p-expm1-u`
969×	`fma-neg`
871×	`expm1-log1p-u`
809×	`log1p-expm1-u`
724×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	376
1	128	332
2	369	332
3	781	332
4	1343	332
5	2233	332
6	2744	332
7	3237	332
8	3551	332
9	3704	332
10	3785	332
11	3835	332
12	3835	332
0	192	3224
1	401	2861
2	1191	2711
3	5156	2653
0	1228	51539631484
1	3140	51539630202
0	30	259
1	413	239
2	4882	239
0	31	310
1	504	256
2	7118	256

Stop Event

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

Compiler

Compiled 485 to 310 computations (36.1% saved)

preprocess36.0ms (0.5%)

Compiler: Compiled 108 to 74 computations (31.5% saved)

analyze55.0ms (0.8%)

sample1.2s (17.9%)

preprocess185.0ms (2.7%)

explain91.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize284.0ms (4.1%)

series10.0ms (0.1%)

rewrite184.0ms (2.7%)

simplify87.0ms (1.3%)

eval14.0ms (0.2%)

prune21.0ms (0.3%)

localize324.0ms (4.7%)

series220.0ms (3.2%)

rewrite195.0ms (2.8%)

simplify265.0ms (3.8%)

eval374.0ms (5.4%)

prune250.0ms (3.6%)

localize299.0ms (4.4%)

series97.0ms (1.4%)

rewrite300.0ms (4.4%)

simplify338.0ms (4.9%)

eval142.0ms (2.1%)

prune78.0ms (1.1%)

localize222.0ms (3.2%)

series12.0ms (0.2%)

rewrite205.0ms (3%)

simplify123.0ms (1.8%)

eval42.0ms (0.6%)

prune48.0ms (0.7%)

regimes64.0ms (0.9%)

regimes17.0ms (0.3%)

regimes28.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch37.0ms (0.5%)

simplify3.0ms (0%)

soundness983.0ms (14.3%)

preprocess36.0ms (0.5%)

end0.0ms (0%)

Profiling