Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

analyze198.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 39.0ms (56.1% of total)

ival-exp: 9.0ms (12.9% of total)

ival-div: 7.0ms (10.1% of total)

ival-sqrt: 7.0ms (10.1% of total)

ival-sub: 5.0ms (7.2% of total)

const: 2.0ms (2.9% of total)

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

sample2.4s (16.1%)

Results

1.4s	8256×	0	valid
534.0ms	1980×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 1.1s (73.2% of total)

ival-sqrt: 167.0ms (11.1% of total)

ival-div: 75.0ms (5% of total)

ival-exp: 71.0ms (4.7% of total)

ival-sub: 70.0ms (4.6% of total)

const: 19.0ms (1.3% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess402.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac`
461×	`distribute-lft-in`
444×	`unsub-neg`
437×	`fma-define`
425×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1056
1	209	1024
2	522	1016
3	1625	1008
4	4624	1008
5	7304	1008

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs t)

explain208.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

76.0ms

512×

valid

Compiler

Compiled 155 to 47 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 19.0ms (54.8% of total)

ival-div: 4.0ms (11.5% of total)

ival-sqrt: 4.0ms (11.5% of total)

ival-sub: 3.0ms (8.7% of total)

ival-exp: 3.0ms (8.7% of total)

const: 1.0ms (2.9% of total)

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

eval1.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

prune7.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
▶	99.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Status

Accuracy

Program

▶

99.8%

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

▶

99.8%

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

Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify185.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	cost-diff	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))

Rules

1098×	`fma-define`
637×	`fma-neg`
208×	`associate-r`
174×	`cancel-sign-sub-inv`
174×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	447
1	45	447
2	79	447
3	156	447
4	318	447
5	461	447
6	704	447
7	1223	447
8	2644	447
9	3135	447
10	3426	447
11	3548	447
12	3568	447
13	3568	447
14	3614	447
15	3910	447
16	3910	447

Stop Event

1×

saturated

Calls

Call 1

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

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

localize236.0ms (1.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 t)
✓	accuracy	100.0%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

205.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34.4% of total)

ival-pow: 8.0ms (22.9% of total)

ival-sqrt: 7.0ms (20% of total)

ival-exp: 4.0ms (11.5% of total)

ival-sub: 2.0ms (5.7% of total)

ival-div: 2.0ms (5.7% of total)

const: 1.0ms (2.9% of total)

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

series95.0ms (0.6%)

Counts

9 → 172

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (+.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))))>
#<alt (+.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (+.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) t)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) t))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal 1 binary64) (.f64 t (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) t))))))>

Calls

45 calls:

Time	Variable		Point	Expression
33.0ms	z	@	0	(* (sqrt (* z 2)) (sqrt (pow (exp t) t)))
19.0ms	z	@	-inf	(* (- (* x 1/2) y) (sqrt (* z 2)))
7.0ms	t	@	inf	(exp t)
2.0ms	x	@	0	(* (- (* x 1/2) y) (* (sqrt (* z 2)) (sqrt (pow (exp t) t))))
2.0ms	y	@	0	(* (- (* x 1/2) y) (* (sqrt (* z 2)) (sqrt (pow (exp t) t))))

rewrite326.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`log1p-expm1-u`
707×	`expm1-log1p-u`
571×	`prod-diff`
159×	`associate-r`
148×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	204
1	354	204
2	4246	204

Stop Event

1×	node limit

Counts

9 → 191

Calls

Call 1

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

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

simplify269.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

847×	`distribute-lft-in`
838×	`distribute-rgt-in`
494×	`associate-r`
451×	`associate-l`
273×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	15017
1	1247	13406
2	4144	13158

Stop Event

1×	node limit

Counts

363 → 340

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 2 binary64) z)
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(+.f64 (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) z) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) z) (.f64 #s(literal 1/4 binary64) z)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 2 binary64))))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))
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(.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
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(sqrt.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(pow.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(*.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 t #s(literal 1/2 binary64))) (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64)) (.f64 t #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 t)) (*.f64 t #s(literal 1/2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) (.f64 t #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 (exp.f64 t)) (*.f64 t #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 t) (.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
(log.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (pow.f64 t #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 t))) #s(literal 1 binary64))
(*.f64 (exp.f64 t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 t))
(*.f64 (cbrt.f64 (exp.f64 t)) (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 t)))
(*.f64 (sqrt.f64 (exp.f64 t)) (sqrt.f64 (exp.f64 t)))
(pow.f64 (exp.f64 t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 t)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) t)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (cbrt.f64 t))
(pow.f64 (exp.f64 (sqrt.f64 t)) (sqrt.f64 t))
(sqrt.f64 (pow.f64 (exp.f64 t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 t))))
(cbrt.f64 (pow.f64 (exp.f64 t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 t)))
(log1p.f64 (expm1.f64 (exp.f64 t)))

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

eval127.0ms (0.9%)

Compiler: Compiled 8920 to 1478 computations (83.4% saved)

prune333.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	394	11	405
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	395	12	407

Accuracy

100.0%

Counts

407 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))))
	99.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	99.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	99.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	99.8%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	60.1%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	79.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (cbrt.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	65.9%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	65.9%	(.f64 (.f64 y (.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	91.9%	(.f64 (.f64 x (-.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 z) (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	57.0%	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	33.5%	(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 505 to 361 computations (28.5% saved)

simplify692.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))
✓	cost-diff	0	(cbrt.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
✓	cost-diff	-6208	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

2270×	`fma-neg`
1080×	`fma-define`
559×	`distribute-lft-neg-in`
441×	`unsub-neg`
361×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1003
1	88	1003
2	198	1003
3	611	1003
4	1631	1003
5	2788	1003
6	4241	1003
7	5519	1003
8	6271	1003
9	6677	1003
10	6804	1003
11	6843	1003
12	6854	1003
13	6946	1003
14	7327	1003
15	7359	1003
16	7365	1003
17	7365	1003
18	7365	1003

Stop Event

1×	node limit

Calls

Call 1

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

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

localize404.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (cbrt.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))))
✓	accuracy	70.1%	(cbrt.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)))
	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))
✓	accuracy	99.3%	(.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
✓	accuracy	99.2%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)))
	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64)))))
✓	accuracy	100.0%	(exp.f64 (pow.f64 t #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 t #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (pow.f64 t #s(literal 2 binary64))))))

Results

327.0ms

256×

valid

Compiler

Compiled 296 to 36 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 26.0ms (47.5% of total)

ival-pow: 11.0ms (20.1% of total)

ival-sqrt: 7.0ms (12.8% of total)

ival-exp: 4.0ms (7.3% of total)

ival-div: 2.0ms (3.7% of total)

ival-cbrt: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

series104.0ms (0.7%)

Counts

16 → 312

Calls

Call 1

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

Outputs
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (.f64 (sqrt.f64 (.f64 z (exp.f64 (pow.f64 t #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) y)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal -1/48 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (/.f64 y x) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (*.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))>

Calls

87 calls:

Time	Variable		Point	Expression
36.0ms	y	@	0	(* (* (sqrt z) (* (sqrt 2) (neg y))) (exp (/ (* t t) 2)))
5.0ms	z	@	-inf	(cbrt (pow (* z 2) 3/2))
2.0ms	z	@	0	(cbrt (pow (* z 2) 3/2))
2.0ms	t	@	-inf	(sqrt (* (* z 2) (exp (pow t 2))))
2.0ms	z	@	-inf	(* (sqrt z) (* (sqrt 2) (neg y)))

rewrite220.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff`
406×	`log1p-expm1-u`
284×	`associate-r`
234×	`expm1-log1p-u`
222×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	409
1	618	377
2	6761	377

Stop Event

1×	node limit

Counts

16 → 354

Calls

Call 1

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

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

simplify583.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg`
377×	`fma-define`
351×	`+-commutative`
289×	`distribute-lft-in`
280×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	828	27857
1	1898	25831
2	4359	25278
3	7345	25278

Stop Event

1×	node limit

Counts

666 → 568

Calls

Call 1

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

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

eval370.0ms (2.5%)

Compiler: Compiled 21974 to 3266 computations (85.1% saved)

prune229.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1062	19	1081
Fresh	6	0	6
Picked	5	0	5
Done	1	0	1
Total	1074	19	1093

Accuracy

100.0%

Counts

1093 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
▶	60.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	36.8%	(.f64 (.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) y) (cbrt.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	59.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	99.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
▶	59.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
	49.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (cbrt.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
	66.0%	(.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	65.8%	(.f64 (.f64 (sqrt.f64 z) (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	35.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)) (sqrt.f64 z))
	64.3%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 z) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	54.9%	(.f64 (.f64 (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	34.7%	(.f64 (.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
	10.8%	(.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	24.1%	(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	25.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))
	26.9%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
	26.8%	(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))

Compiler

Compiled 682 to 524 computations (23.2% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
✓	cost-diff	128	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) y)
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 t t)
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Rules

746×	`unsub-neg`
530×	`distribute-lft-in`
499×	`fma-define`
472×	`distribute-rgt-in`
445×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	873
1	68	873
2	144	873
3	410	873
4	1465	873
5	4480	873
6	7655	873

Stop Event

1×	node limit

Calls

Call 1

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

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

localize187.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
✓	accuracy	99.5%	(.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
✓	accuracy	99.1%	(cbrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.1%	(cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
✓	accuracy	86.4%	(.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))
✓	accuracy	64.7%	(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) y)
	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))
	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))

Results

92.0ms

256×

valid

Compiler

Compiled 251 to 29 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 20.0ms (50.7% of total)

ival-sqrt: 6.0ms (15.2% of total)

ival-fma: 3.0ms (7.6% of total)

ival-cbrt: 3.0ms (7.6% of total)

ival-pow: 3.0ms (7.6% of total)

ival-exp: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.5% of total)

const: 1.0ms (2.5% of total)

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

series166.0ms (1.1%)

Counts

16 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
57.0ms	x	@	0	(* (* (- (* x 1/2) y) (* (cbrt (* z 2)) (cbrt (sqrt (* z 2))))) 1)
19.0ms	z	@	0	(* (* (- (* x 1/2) y) (* (cbrt (* z 2)) (cbrt (sqrt (* z 2))))) 1)
14.0ms	y	@	0	(* (* (- (* x 1/2) y) (* (cbrt (* z 2)) (cbrt (sqrt (* z 2))))) 1)
7.0ms	z	@	inf	(cbrt (sqrt (* z 2)))
6.0ms	z	@	0	(cbrt (sqrt (* z 2)))

rewrite237.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`log1p-expm1-u`
571×	`prod-diff`
220×	`associate-r`
191×	`expm1-log1p-u`
189×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	469
1	516	443
2	5438	443

Stop Event

1×	node limit

Counts

16 → 442

Calls

Call 1

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

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

simplify543.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

519×	`fma-define`
382×	`distribute-lft-in`
371×	`distribute-rgt-in`
333×	`*-commutative`
312×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1062	4295007317
1	2564	4295005872
2	6691	4295005710

Stop Event

1×	node limit

Counts

862 → 749

Calls

Call 1

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

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

eval364.0ms (2.4%)

Compiler: Compiled 28833 to 4370 computations (84.8% saved)

prune576.0ms (3.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1410	17	1427
Fresh	10	4	14
Picked	4	1	5
Done	0	0	0
Total	1424	22	1446

Accuracy

100.0%

Counts

1446 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
✓	60.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	49.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (cbrt.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))))
	60.0%	(.f64 (.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal 1 binary64))
▶	99.6%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
	35.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)) (sqrt.f64 z))
	34.5%	(.f64 (.f64 (neg.f64 y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
	61.3%	(.f64 (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
▶	10.8%	(.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	57.4%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
▶	26.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
	27.0%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	25.0%	(.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) (.f64 x z)) (.f64 #s(literal 2 binary64) (.f64 y z)))))) #s(literal 1 binary64))
	16.5%	(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (-.f64 y x)))) #s(literal 1 binary64))
	11.9%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) z)) #s(literal 1 binary64))
	25.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
▶	1.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
	66.4%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))
	34.7%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	28.6%	(.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	34.7%	(.f64 y (.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	26.8%	(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 686 to 529 computations (22.9% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 (*.f64 t t) #s(literal 2 binary64))
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	cost-diff	128	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
	cost-diff	0	(*.f64 z #s(literal 2 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	6528	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	6528	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

Rules

811×	`fma-define`
537×	`unsub-neg`
469×	`associate-*r/`
393×	`distribute-lft-in`
376×	`distribute-lft-neg-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	733
1	73	703
2	162	693
3	485	693
4	1352	684
5	2717	684
6	5519	684

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 z) (sqrt.f64 (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (sqrt.f64 (exp.f64 (*.f64 t t))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 (exp.f64 t)) t))))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 z)
z
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(pow.f64 (sqrt.f64 (exp.f64 t)) t)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t (/.f64 t #s(literal 2 binary64)))
(*.f64 t t)
t
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
(.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
x
(-.f64 #s(literal 1/2 binary64) (/.f64 y x))
#s(literal 1/2 binary64)
(/.f64 y x)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 x (.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
(.f64 y (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (.f64 t t)))))
(.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 y (.f64 (sqrt.f64 (exp.f64 (.f64 t t))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (.f64 y (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 y (.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64))))
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(sqrt.f64 (pow.f64 (exp.f64 t) t))
(pow.f64 (sqrt.f64 (exp.f64 t)) t)
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t (/.f64 t #s(literal 2 binary64)))
(*.f64 t t)
t

localize149.0ms (1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	accuracy	99.3%	(.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	accuracy	100.0%	(sqrt.f64 z)
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.5%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
✓	accuracy	99.3%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	84.7%	(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))
	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.4%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Results

103.0ms

256×

valid

Compiler

Compiled 213 to 32 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 24.0ms (51.2% of total)

ival-pow: 8.0ms (17.1% of total)

ival-sqrt: 6.0ms (12.8% of total)

ival-div: 4.0ms (8.5% of total)

ival-sub: 3.0ms (6.4% of total)

ival-exp: 2.0ms (4.3% of total)

const: 1.0ms (2.1% of total)

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

series39.0ms (0.3%)

Counts

13 → 240

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 z))) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 z)))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 z)))>
#<alt (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))))>
#<alt (+.f64 (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) (.f64 (pow.f64 t #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 (.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))))))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (.f64 y (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
2.0ms	x	@	inf	(* x (- 1/2 (/ y x)))
1.0ms	z	@	0	(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
1.0ms	z	@	-inf	(* (* x (- 1/2 (/ y x))) (sqrt (* z 2)))
1.0ms	z	@	-inf	(* (* 1/2 (* x (sqrt 2))) (sqrt z))

rewrite226.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`prod-diff`
298×	`associate-r`
242×	`log1p-expm1-u`
242×	`expm1-log1p-u`
239×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	323
1	590	315
2	7143	315

Stop Event

1×	node limit

Counts

13 → 247

Calls

Call 1

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

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

simplify369.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

907×	`times-frac`
500×	`associate-r`
450×	`associate-l`
272×	`*-commutative`
254×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	17186
1	1353	16083
2	4530	15933

Stop Event

1×	node limit

Counts

487 → 387

Calls

Call 1

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

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

eval123.0ms (0.8%)

Compiler: Compiled 17053 to 2720 computations (84% saved)

prune238.0ms (1.6%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	893	11	904
Fresh	5	11	16
Picked	1	4	5
Done	0	1	1
Total	899	27	926

Accuracy

100.0%

Counts

926 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.0%	(pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (.f64 x (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	60.1%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	49.3%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (cbrt.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))))
	59.9%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
	35.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)) (sqrt.f64 z))
	34.5%	(.f64 (.f64 (neg.f64 y) (.f64 (cbrt.f64 (.f64 z #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
	61.3%	(.f64 (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
✓	10.8%	(.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
	50.3%	(.f64 (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x))))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	32.1%	(.f64 (.f64 x (/.f64 y (neg.f64 x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	57.4%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	57.4%	(.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	57.4%	(.f64 (.f64 x (+.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	27.0%	(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	26.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z))
✓	26.9%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
	23.6%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))
	25.0%	(.f64 (sqrt.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) (.f64 x z)) (.f64 #s(literal 2 binary64) (.f64 y z)))))) #s(literal 1 binary64))
	16.5%	(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (-.f64 y x)))) #s(literal 1 binary64))
	25.9%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓	1.5%	(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
	66.4%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))
	34.7%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
	3.5%	(.f64 (cbrt.f64 (pow.f64 (.f64 z #s(literal 2 binary64)) #s(literal 3/2 binary64))) y)
	34.7%	(.f64 y (.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
	26.8%	(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
	11.9%	(sqrt.f64 (.f64 z (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))

Compiler

Compiled 1270 to 527 computations (58.5% saved)

regimes221.0ms (1.5%)

Counts

60 → 1

Calls

Call 1

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

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

Calls

13 calls:

19.0ms	z
18.0ms	y
18.0ms	x
17.0ms	t
17.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

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

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes139.0ms (0.9%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

12 calls:

15.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
15.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
14.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
11.0ms	(*.f64 x #s(literal 1/2 binary64))
11.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.2%	3	`x`
76.2%	3	`y`
72.5%	3	`z`
89.7%	2	`t`
73.3%	3	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
68.2%	2	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
78.2%	3	`(*.f64 x #s(literal 1/2 binary64))`
72.5%	3	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
72.5%	3	`(*.f64 z #s(literal 2 binary64))`
89.7%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
89.7%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
89.7%	2	`(*.f64 t t)`

Compiler

Compiled 91 to 73 computations (19.8% saved)

regimes67.0ms (0.5%)

Counts

26 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

8 calls:

9.0ms	(*.f64 x #s(literal 1/2 binary64))
9.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
9.0ms	y
8.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
8.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
61.3%	1	`z`
61.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
61.3%	1	`(*.f64 z #s(literal 2 binary64))`
61.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
61.3%	1	`y`
61.3%	1	`x`
61.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
68.8%	2	`t`

Compiler

Compiled 56 to 46 computations (17.9% saved)

regimes45.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

39.0ms	t
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
61.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
64.9%	2	`t`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.9%	2	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.9%	2	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes26.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

9 calls:

3.0ms	z
3.0ms	t
3.0ms	(*.f64 x #s(literal 1/2 binary64))
3.0ms	y
3.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
60.1%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
60.1%	1	`x`
60.1%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
60.1%	1	`(*.f64 x #s(literal 1/2 binary64))`
60.1%	1	`y`
60.1%	1	`z`
60.1%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
60.1%	1	`(*.f64 z #s(literal 2 binary64))`
60.1%	1	`t`

Compiler

Compiled 65 to 53 computations (18.5% saved)

regimes416.0ms (2.8%)

Counts

5 → 3

Calls

Call 1

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

Outputs

(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

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

(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

7 calls:

400.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
3.0ms	x
2.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
48.3%	3	`x`
48.3%	3	`(*.f64 x #s(literal 1/2 binary64))`
50.3%	3	`y`
34.7%	1	`t`
34.7%	1	`z`
34.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
34.7%	1	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Outputs
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
34.7%	1	`x`
34.7%	1	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)

Outputs
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)

Calls

6 calls:

1.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
1.5%	1	`y`
1.5%	1	`t`
1.5%	1	`z`
1.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
1.5%	1	`(*.f64 z #s(literal 2 binary64))`
1.5%	1	`x`

Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.7997527701809989e-25	6.601403681444884e-20

Results

14.0ms

144×

valid

Compiler

Compiled 298 to 237 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (55.7% of total)

ival-sub: 1.0ms (11.1% of total)

ival-div: 1.0ms (11.1% of total)

ival-exp: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2618415454462353e+21	5.145047806500157e+22

Results

11.0ms

112×

valid

Compiler

Compiled 343 to 231 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.9% of total)

ival-sub: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

ival-exp: 1.0ms (14.2% of total)

ival-sqrt: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
17.0ms	950.3457128802787	265183502.89328143

Results

13.0ms

112×

valid

Compiler

Compiled 252 to 196 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (58.1% of total)

ival-sub: 1.0ms (11.6% of total)

ival-div: 1.0ms (11.6% of total)

ival-exp: 1.0ms (11.6% of total)

ival-sqrt: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.952168502860589e+95	3.4960309992532745e+100

Results

15.0ms

144×

valid

Compiler

Compiled 316 to 246 computations (22.2% saved)

Precisions

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

ival-mult: 6.0ms (60.3% of total)

ival-sub: 1.0ms (10% of total)

ival-div: 1.0ms (10% of total)

ival-exp: 1.0ms (10% of total)

ival-sqrt: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	950.3457128802787	265183502.89328143

Results

16.0ms

144×

valid

Compiler

Compiled 307 to 237 computations (22.8% saved)

Precisions

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

ival-mult: 5.0ms (48.4% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.220792820614071e-73	2.786451534310012e-68
20.0ms	-2.6574168164787154e+115	-1.1623608306410238e+110

Results

33.0ms

288×

valid

Compiler

Compiled 478 to 399 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 9.0ms (51.4% of total)

ival-sub: 2.0ms (11.4% of total)

ival-div: 2.0ms (11.4% of total)

ival-exp: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

180×	`distribute-lft-neg-in`
110×	`unsub-neg`
105×	`neg-mul-1`
94×	`cancel-sign-sub`
89×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	777
1	124	765
2	165	765
3	216	765
4	299	765
5	420	765
6	611	765
7	767	765
8	896	765
9	1010	765
10	1069	765
11	1120	765
12	1152	765
13	1168	765
14	1188	765
15	1193	765
16	1194	765

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(if (<=.f64 (.f64 t t) #s(literal 5399988732876221/83076749736557242056487941267521536 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(if (<=.f64 t #s(literal 2400000000000000000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 1000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 98000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (/.f64 y (neg.f64 x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 6365737426045269/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t)))))
(if (<=.f64 (.f64 t t) #s(literal 5399988732876221/83076749736557242056487941267521536 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 5399988732876221/83076749736557242056487941267521536 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))) (neg.f64 y)))
(if (<=.f64 (.f64 t t) #s(literal 5399988732876221/83076749736557242056487941267521536 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 y (neg.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (exp.f64 (.f64 t t)))))))
(if (<=.f64 t #s(literal 2400000000000000000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 2400000000000000000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 y (neg.f64 x)))))))
(if (<=.f64 t #s(literal 2400000000000000000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (+.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(if (<=.f64 t #s(literal 1000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 1000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(if (<=.f64 t #s(literal 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 y (-.f64 y x)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 62999999999999999702722318238918520773282943764627003938512789997693079427523851670232620179914752 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (.f64 y (-.f64 y x)))))
(if (<=.f64 t #s(literal 98000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 x (/.f64 y (neg.f64 x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 98000000 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 x (/.f64 y (neg.f64 x)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 6365737426045269/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))
(if (or (<=.f64 y #s(literal -120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (not (<=.f64 y #s(literal 6365737426045269/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 y #s(literal -120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664 binary64)) (not (<=.f64 y #s(literal 6365737426045269/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)))) (.f64 y (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (neg.f64 y))
(.f64 y (neg.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) y)
(.f64 y (sqrt.f64 (.f64 z #s(literal 2 binary64))))

soundness2.7s (18.4%)

Rules

920×	`log1p-expm1-u`
907×	`times-frac`
888×	`fma-neg`
733×	`times-frac`
707×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	17186
1	1353	16083
2	4530	15933
0	38	323
1	590	315
2	7143	315
0	1062	4295007317
1	2564	4295005872
2	6691	4295005710
0	81	1056
1	209	1024
2	522	1016
3	1625	1008
4	4624	1008
5	7304	1008
0	828	27857
1	1898	25831
2	4359	25278
3	7345	25278
0	41	409
1	618	377
2	6761	377
0	27	204
1	354	204
2	4246	204

Stop Event

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

Compiler

Compiled 1134 to 387 computations (65.9% saved)

preprocess194.0ms (1.3%)

Remove: (abs t)
Compiler: Compiled 612 to 274 computations (55.2% saved)

analyze198.0ms (1.3%)

sample2.4s (16.1%)

preprocess402.0ms (2.7%)

explain208.0ms (1.4%)

eval1.0ms (0%)

prune7.0ms (0%)

simplify185.0ms (1.2%)

localize236.0ms (1.6%)

series95.0ms (0.6%)

rewrite326.0ms (2.2%)

simplify269.0ms (1.8%)

eval127.0ms (0.9%)

prune333.0ms (2.2%)

simplify692.0ms (4.7%)

localize404.0ms (2.7%)

series104.0ms (0.7%)

rewrite220.0ms (1.5%)

simplify583.0ms (3.9%)

eval370.0ms (2.5%)

prune229.0ms (1.5%)

simplify81.0ms (0.5%)

localize187.0ms (1.3%)

series166.0ms (1.1%)

rewrite237.0ms (1.6%)

simplify543.0ms (3.7%)

eval364.0ms (2.4%)

prune576.0ms (3.9%)

simplify84.0ms (0.6%)

localize149.0ms (1%)

series39.0ms (0.3%)

rewrite226.0ms (1.5%)

simplify369.0ms (2.5%)

eval123.0ms (0.8%)

prune238.0ms (1.6%)

regimes221.0ms (1.5%)

regimes139.0ms (0.9%)

regimes67.0ms (0.5%)

regimes45.0ms (0.3%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes26.0ms (0.2%)

regimes416.0ms (2.8%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

bsearch21.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch23.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch46.0ms (0.3%)

simplify87.0ms (0.6%)

soundness2.7s (18.4%)

preprocess194.0ms (1.3%)

end0.0ms (0%)

Profiling