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

analyze60.0ms (0.9%)

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: 26.0ms

Operation ival-div, time spent: 7.0ms, 27.0% of total-time

Operation ival-mult, time spent: 7.0ms, 27.0% of total-time

Operation ival-add, time spent: 5.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 19.0% of total-time

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

sample1.9s (27.9%)

Results

1.3s	7756×	256	valid
158.0ms	2027×	256	invalid
54.0ms	500×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 665.0ms

Operation ival-mult, time spent: 268.0ms, 40.0% of total-time

Operation ival-sqrt, time spent: 203.0ms, 31.0% of total-time

Operation ival-div, time spent: 95.0ms, 14.0% of total-time

Operation ival-add, time spent: 76.0ms, 11.0% of total-time

Operation const, time spent: 21.0ms, 3.0% of total-time

Bogosity

preprocess297.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

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

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))`

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))

Results

65.0ms	476×	256	valid
5.0ms	36×	256	infinite

Compiler

Compiled 81 to 42 computations (48.1% saved)

Precisions

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

Operation ival-div, time spent: 9.0ms, 33.0% of total-time

Operation ival-mult, time spent: 8.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 22.0% of total-time

Operation ival-add, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (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)

localize71.0ms (1.1%)

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

47.0ms	238×	256	valid
3.0ms	18×	256	infinite

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

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

Operation ival-mult, time spent: 18.0ms, 64.0% of total-time

Operation composed, time spent: 4.0ms, 14.0% of total-time

Operation ival-add, time spent: 3.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 11.0% of total-time

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

series9.0ms (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
3.0ms	y	@	0	(* y (sqrt z))
1.0ms	z	@	-inf	(* y (sqrt z))
1.0ms	y	@	inf	(* y (sqrt z))
0.0ms	z	@	inf	(* y (sqrt z))
0.0ms	z	@	0	(* y (sqrt z))

rewrite224.0ms (3.3%)

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)))

simplify117.0ms (1.7%)

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)

eval20.0ms (0.3%)

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

prune29.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	76	9	85

Accuracy

100.0%

Counts

85 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(literal 1/2 binary64) (fma.f64 y (.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
▶	55.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
	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))))
▶	64.3%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 z (pow.f64 y #s(literal 2 binary64))))))
	80.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
	87.4%	(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
▶	88.4%	(.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
▶	53.5%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 223 to 166 computations (25.6% saved)

localize250.0ms (3.7%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
	99.8%	(*.f64 y (sqrt.f64 z))
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
✓	94.6%	(sqrt.f64 (*.f64 y (sqrt.f64 z)))
✓	93.3%	(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓	81.5%	(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓	96.9%	(*.f64 (/.f64 y x) (sqrt.f64 z))
✓	94.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (sqrt.f64 z))))
✓	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓	99.9%	(fma.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
✓	99.7%	(*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

Results

87.0ms	132×	256	valid
75.0ms	116×	256	invalid
5.0ms	8×	256	infinite

Compiler

Compiled 173 to 82 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

Operation ival-mult, time spent: 37.0ms, 32.0% of total-time

Operation ival-sqrt, time spent: 22.0ms, 19.0% of total-time

Operation ival-pow, time spent: 20.0ms, 17.0% of total-time

Operation ival-add, time spent: 13.0ms, 11.0% of total-time

Operation ival-div, time spent: 12.0ms, 10.0% of total-time

Operation composed, time spent: 8.0ms, 7.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

series96.0ms (1.4%)

Counts

9 → 181

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(sqrt (* y (sqrt z)))
21.0ms	z	@	0	(sqrt (* y (sqrt z)))
10.0ms	z	@	inf	(sqrt (* y (sqrt z)))
8.0ms	z	@	0	(sqrt (* z (pow y 2)))
1.0ms	z	@	inf	(* x (+ 1 (* (/ y x) (sqrt z))))

rewrite171.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`prod-diff`
829×	`log1p-expm1-u`
163×	`expm1-log1p-u`
160×	`add-exp-log`
160×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	227
1	408	195
2	4858	195

Stop Event

1×	node limit

Counts

9 → 241

Calls

Call 1

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

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

simplify158.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

458×	`cancel-sign-sub-inv`
345×	`fma-neg`
309×	`distribute-lft-neg-in`
304×	`distribute-rgt-neg-in`
298×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	12053
1	960	11102
2	3281	10775

Stop Event

1×	node limit

Counts

422 → 286

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

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

eval90.0ms (1.3%)

Compiler: Compiled 4715 to 2520 computations (46.6% saved)

prune139.0ms (2.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	307	6	313
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	310	12	322

Accuracy

100.0%

Counts

322 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (/.f64 z (sqrt.f64 z)) y) x))
▶	88.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (*.f64 y (/.f64 (sqrt.f64 z) x))) x))
✓	55.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
▶	99.7%	(.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))))
▶	54.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	69.8%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 z) (/.f64 y x))))))
▶	47.5%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
	80.2%	(.f64 #s(literal 1/2 binary64) (.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
	87.4%	(.f64 #s(literal 1/2 binary64) (.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))
✓	88.4%	(.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 292 to 207 computations (29.1% saved)

localize280.0ms (4.2%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
✓	99.7%	(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y))
✓	100.0%	(pow.f64 z #s(literal 1/4 binary64))
✓	99.8%	(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓	99.7%	(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
✓	99.8%	(/.f64 (sqrt.f64 z) x)
✓	98.4%	(*.f64 y (/.f64 (sqrt.f64 z) x))
✓	89.7%	(.f64 x (.f64 y (/.f64 (sqrt.f64 z) x)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
✓	99.8%	(*.f64 (sqrt.f64 z) y)
✓	99.8%	(*.f64 (/.f64 z (sqrt.f64 z)) y)
✓	99.5%	(/.f64 z (sqrt.f64 z))

Results

89.0ms	132×	256	valid
118.0ms	116×	256	invalid
5.0ms	8×	256	infinite

Compiler

Compiled 188 to 58 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

Operation ival-pow, time spent: 67.0ms, 42.0% of total-time

Operation ival-div, time spent: 42.0ms, 27.0% of total-time

Operation ival-mult, time spent: 34.0ms, 21.0% of total-time

Operation ival-add, time spent: 7.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 3.0% of total-time

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

series93.0ms (1.4%)

Counts

12 → 288

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

Calls

72 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	(* (pow z 1/4) y)
26.0ms	z	@	-inf	(* (pow z 1/4) y)
7.0ms	z	@	0	(* (pow z 1/4) y)
1.0ms	z	@	-inf	(* (/ z (sqrt z)) y)
1.0ms	z	@	-inf	(/ z (sqrt z))

rewrite162.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u`
845×	`expm1-log1p-u`
238×	`log1p-undefine`
206×	`associate-r`
145×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	268
1	374	223
2	4530	223

Stop Event

1×	node limit

Counts

12 → 308

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

simplify163.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

444×	`cube-prod`
425×	`exp-prod`
419×	`associate-r`
390×	`fma-define`
357×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	11680
1	916	11584
2	4046	11498

Stop Event

1×	node limit

Counts

596 → 270

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

eval99.0ms (1.5%)

Compiler: Compiled 4358 to 2546 computations (41.6% saved)

prune116.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	3	0	3
Picked	3	2	5
Done	2	2	4
Total	303	8	311

Accuracy

100.0%

Counts

311 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(.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))
▶	94.3%	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (.f64 z y))) x))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (/.f64 z (sqrt.f64 z)) y) x))
▶	88.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	47.5%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 96 to 70 computations (27.1% saved)

localize244.0ms (3.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	86.9%	(/.f64 (*.f64 z y) (sqrt.f64 z))
✓	100.0%	(pow.f64 z #s(literal -1/2 binary64))
✓	99.6%	(/.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (*.f64 z y)))
✓	86.4%	(/.f64 (sqrt.f64 z) (*.f64 z y))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
✓	95.4%	(.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
✓	79.7%	(.f64 x (.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))

Results

164.0ms	238×	256	valid
13.0ms	18×	256	infinite

Compiler

Compiled 172 to 71 computations (58.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

Operation ival-pow, time spent: 38.0ms, 31.0% of total-time

Operation ival-div, time spent: 36.0ms, 30.0% of total-time

Operation ival-mult, time spent: 32.0ms, 26.0% of total-time

Operation ival-add, time spent: 10.0ms, 8.0% of total-time

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

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

series88.0ms (1.3%)

Counts

8 → 184

Calls

Call 1

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

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

51 calls:

Time	Variable		Point	Expression
70.0ms	z	@	-inf	(/ y (pow z -1/2))
2.0ms	x	@	-inf	(* x (* y (* (/ 1 x) (sqrt z))))
1.0ms	z	@	-inf	(/ (sqrt z) (* z y))
1.0ms	y	@	0	(/ (sqrt z) (* z y))
1.0ms	z	@	0	(/ (sqrt z) (* z y))

rewrite167.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`log1p-expm1-u`
872×	`expm1-log1p-u`
232×	`log1p-undefine`
152×	`associate-r`
136×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	192
1	332	158
2	4347	158

Stop Event

1×	node limit

Counts

8 → 382

Calls

Call 1

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

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

simplify294.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-neg`
412×	`associate-/r/`
243×	`associate-/l/`
226×	`associate-*r/`
223×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	13816
1	1076	12500
2	3062	12146
3	7689	12146

Stop Event

1×	node limit

Counts

566 → 281

Calls

Call 1

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

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

eval75.0ms (1.1%)

Compiler: Compiled 4148 to 2431 computations (41.4% saved)

prune125.0ms (1.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	281	8	289

Accuracy

100.0%

Counts

289 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.4%	(.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 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) x))
✓	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (/.f64 z (sqrt.f64 z)) y) x))
✓	88.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 y (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	47.5%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))
✓	53.5%	(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 336 to 208 computations (38.1% saved)

regimes47.0ms (0.7%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

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)

regimes69.0ms (1%)

Counts

3 → 1

Calls

Call 1

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

60.0ms	x
2.0ms	y
2.0ms	(sqrt.f64 z)
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	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)

regimes14.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
3.0ms	z
3.0ms	(sqrt.f64 z)
3.0ms	y

Results

Accuracy	Segments	Branch
79.8%	7	`x`
78.5%	3	`y`
66.3%	4	`z`
66.3%	4	`(sqrt.f64 z)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

0.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
53.5%	1	`z`
53.5%	1	`x`
53.5%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.2305371400236303e-6	8.576534540377013e-6
17.0ms	-2175448.043921745	-18953.088174162476

Results

22.0ms

208×

256

valid

Compiler

Compiled 240 to 197 computations (17.9% saved)

Precisions

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

Operation ival-mult, time spent: 5.0ms, 50.0% of total-time

Operation ival-div, time spent: 2.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 20.0% of total-time

Operation ival-add, time spent: 1.0ms, 10.0% of total-time

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

simplify4.0ms (0.1%)

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×	fuel
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 y #s(literal -112000 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (if (<=.f64 y #s(literal 8500259669165361/1180591620717411303424 binary64)) (.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)

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 y #s(literal -112000 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)) (if (<=.f64 y #s(literal 8500259669165361/1180591620717411303424 binary64)) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(if (or (<=.f64 y #s(literal -112000 binary64)) (not (<=.f64 y #s(literal 8500259669165361/1180591620717411303424 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 50 to 38 computations (24% saved)

soundness996.0ms (14.8%)

Rules

969×	`fma-neg`
935×	`prod-diff`
845×	`log1p-expm1-u`
845×	`expm1-log1p-u`
829×	`log1p-expm1-u`

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	26	268
1	374	223
2	4530	223
0	481	12053
1	960	11102
2	3281	10775
0	28	227
1	408	195
2	4858	195
0	192	3224
1	401	2861
2	1191	2711
3	5156	2653

Stop Event

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

Compiler

Compiled 367 to 218 computations (40.6% saved)

end0.0ms (0%)

preprocess43.0ms (0.6%)

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

analyze60.0ms (0.9%)

sample1.9s (27.9%)

preprocess297.0ms (4.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize71.0ms (1.1%)

series9.0ms (0.1%)

rewrite224.0ms (3.3%)

simplify117.0ms (1.7%)

eval20.0ms (0.3%)

prune29.0ms (0.4%)

localize250.0ms (3.7%)

series96.0ms (1.4%)

rewrite171.0ms (2.5%)

simplify158.0ms (2.4%)

eval90.0ms (1.3%)

prune139.0ms (2.1%)

localize280.0ms (4.2%)

series93.0ms (1.4%)

rewrite162.0ms (2.4%)

simplify163.0ms (2.4%)

eval99.0ms (1.5%)

prune116.0ms (1.7%)

localize244.0ms (3.6%)

series88.0ms (1.3%)

rewrite167.0ms (2.5%)

simplify294.0ms (4.4%)

eval75.0ms (1.1%)

prune125.0ms (1.9%)

regimes47.0ms (0.7%)

regimes69.0ms (1%)

regimes14.0ms (0.2%)

regimes2.0ms (0%)

bsearch32.0ms (0.5%)

simplify4.0ms (0.1%)

soundness996.0ms (14.8%)

end0.0ms (0%)

preprocess43.0ms (0.6%)

Profiling