Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

sample917.0ms (29.3%)

Results

604.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-div: 138.0ms (50% of total)

ival-mult: 72.0ms (26.1% of total)

ival-sub: 47.0ms (17% of total)

const: 16.0ms (5.8% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess104.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fma-neg`
86×	`unsub-neg`
83×	`distribute-lft-neg-in`
79×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (.f64 z #s(literal 1/2 binary64)) (.f64 y #s(literal -1/8 binary64)))

Symmetry

(sort x y)

explain85.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`x`
0	-	-	`(/.f64 z #s(literal 8 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
0	-	-	`(*.f64 x y)`
0	-	-	`z`
0	-	-	`#s(literal 8 binary64)`

Results

53.0ms

512×

256

valid

Compiler

Compiled 70 to 41 computations (41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 12.0ms (56.8% of total)

ival-mult: 4.0ms (18.9% of total)

ival-sub: 3.0ms (14.2% of total)

const: 2.0ms (9.5% of total)

eval5.0ms (0.2%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize82.0ms (2.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))

Results

44.0ms

256×

256

valid

Compiler

Compiled 48 to 30 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 14.0ms (51.3% of total)

ival-mult: 5.0ms (18.3% of total)

<compiled-spec>: 4.0ms (14.7% of total)

const: 2.0ms (7.3% of total)

ival-sub: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

series5.0ms (0.2%)

Counts

1 → 36

Calls

Call 1

Inputs
#<alt (-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))>

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- (* x (/ y 2)) (/ z 8))
1.0ms	y	@	inf	(- (* x (/ y 2)) (/ z 8))
1.0ms	x	@	inf	(- (* x (/ y 2)) (/ z 8))
0.0ms	z	@	0	(- (* x (/ y 2)) (/ z 8))
0.0ms	y	@	0	(- (* x (/ y 2)) (/ z 8))

rewrite262.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`prod-diff`
880×	`log1p-expm1-u`
880×	`expm1-log1p-u`
260×	`fma-define`
150×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	179	30
2	2411	30

Stop Event

1×	node limit

Counts

1 → 202

Calls

Call 1

Inputs
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)) (sqrt.f64 z))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64)) (sqrt.f64 z))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (neg.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 z)))) (fma.f64 #s(literal 1/8 binary64) (neg.f64 z) (*.f64 #s(literal -1/8 binary64) (neg.f64 z))))
(+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 z) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)) (sqrt.f64 z))))
(+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64)) (sqrt.f64 z)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (sqrt.f64 z) #s(literal 8 binary64)) (sqrt.f64 z))))
(+.f64 (fma.f64 y (.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 z)))) (fma.f64 #s(literal 1/8 binary64) (neg.f64 z) (*.f64 #s(literal -1/8 binary64) (neg.f64 z))))
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(fma.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 z #s(literal -1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) x) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) x) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) x) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) x) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal 1/8 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal 1/8 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal 1/8 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal 1/8 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))

simplify146.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

348×	`fma-neg`
322×	`times-frac`
301×	`cancel-sign-sub-inv`
298×	`associate-/l*`
278×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	10614
1	1093	9224
2	3297	9140

Stop Event

1×	node limit

Counts

238 → 232

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
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(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))

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

eval65.0ms (2.1%)

Compiler: Compiled 5612 to 3609 computations (35.7% saved)

prune118.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	229	3	232
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	230	4	234

Accuracy

100.0%

Counts

234 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
▶	91.5%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶	62.1%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
▶	39.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 40 to 30 computations (25% saved)

localize90.0ms (2.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))
✓	91.7%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	91.4%	(/.f64 (*.f64 x y) z)

Results

67.0ms

256×

256

valid

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 19.0ms (55.8% of total)

ival-sub: 11.0ms (32.3% of total)

ival-div: 2.0ms (5.9% of total)

const: 2.0ms (5.9% of total)

series14.0ms (0.5%)

Counts

3 → 33

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))>

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

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms	x	@	0	(/ (* x y) z)
1.0ms	z	@	-inf	(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms	y	@	0	(/ (* x y) z)
1.0ms	z	@	inf	(/ (* x y) z)

rewrite359.0ms (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log1p-expm1-u`
990×	`expm1-log1p-u`
557×	`log-prod`
168×	`expm1-undefine`
168×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	195	89
2	2617	89

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z)))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (.f64 z (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) z) (.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) z (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify229.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

740×	`cube-prod`
734×	`exp-prod`
397×	`*-commutative`
299×	`distribute-lft-in`
292×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4653
1	625	4561
2	1987	4455
3	6390	4455

Stop Event

1×	node limit

Counts

135 → 140

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 y (.f64 x (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 x (/.f64 y z)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z)))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (sqrt.f64 (.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (.f64 z (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (.f64 z #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) z) (.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) z (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 z))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x y) (.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x y) (.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x y) (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
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(.f64 z (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)))))
(/.f64 (.f64 z (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(.f64 z (/.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(.f64 z (/.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 y (/.f64 x z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(.f64 z (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(.f64 z (/.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(.f64 z (/.f64 (fma.f64 (pow.f64 (.f64 y (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal 1/8 binary64))))
(pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(pow.f64 (cbrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(pow.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(pow.f64 (sqrt.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(sqrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(cbrt.f64 (pow.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(log1p.f64 (expm1.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (log.f64 (.f64 z (fma.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(fma.f64 z (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) z (*.f64 #s(literal -1/8 binary64) z))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64)) (neg.f64 z))
(.f64 z (fma.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (/.f64 x z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (/.f64 x z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (/.f64 x z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x (/.f64 y z))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 y (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) z)
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 z))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (neg.f64 y))) (neg.f64 z))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 z))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(/.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(pow.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(cbrt.f64 (pow.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(expm1.f64 (log1p.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(log1p.f64 (expm1.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(exp.f64 (log.f64 (.f64 x (.f64 (/.f64 y z) #s(literal 1/2 binary64)))))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)

eval87.0ms (2.8%)

Compiler: Compiled 2241 to 1213 computations (45.9% saved)

prune23.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	140	4	144

Accuracy

100.0%

Counts

144 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
✓	91.5%	(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓	62.1%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	39.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 88 to 61 computations (30.7% saved)

regimes18.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

3.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes18.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))

Outputs
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

4.0ms	z
3.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes13.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

7.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.9%	3	`x`
77.9%	3	`y`
71.0%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(*.f64 #s(literal -1/8 binary64) z)

Calls

3 calls:

1.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
39.9%	1	`z`
39.9%	1	`y`
39.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2890720247048605e-115	5.2503120027302225e-95
14.0ms	-2.5018509596202954e-41	-6.029791917204773e-50

Results

20.0ms

320×

valid

Compiler

Compiled 338 to 274 computations (18.9% saved)

Precisions

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

ival-div: 4.0ms (39% of total)

ival-mult: 3.0ms (29.3% of total)

ival-sub: 2.0ms (19.5% of total)

const: 1.0ms (9.8% of total)

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

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	134
1	46	134
2	55	134
3	61	134
4	66	134
5	68	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 x #s(literal -2259756624739205/12554203470773361527671578846415332832204710888928069025792 binary64)) (not (<=.f64 x #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness405.0ms (12.9%)

Rules

661×	`fma-define`
378×	`fma-neg`
348×	`fma-neg`
322×	`times-frac`
301×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	10614
1	1093	9224
2	3297	9140
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 140 to 95 computations (32.1% saved)

preprocess34.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 192 to 138 computations (28.1% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

sample917.0ms (29.3%)

preprocess104.0ms (3.3%)

explain85.0ms (2.7%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

localize82.0ms (2.6%)

series5.0ms (0.2%)

rewrite262.0ms (8.4%)

simplify146.0ms (4.7%)

eval65.0ms (2.1%)

prune118.0ms (3.8%)

localize90.0ms (2.9%)

series14.0ms (0.5%)

rewrite359.0ms (11.5%)

simplify229.0ms (7.3%)

eval87.0ms (2.8%)

prune23.0ms (0.7%)

regimes18.0ms (0.6%)

regimes18.0ms (0.6%)

regimes13.0ms (0.4%)

regimes2.0ms (0.1%)

bsearch34.0ms (1.1%)

simplify12.0ms (0.4%)

soundness405.0ms (12.9%)

preprocess34.0ms (1.1%)

end0.0ms (0%)

Profiling