Metrics for Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

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 11 to 7 computations (36.4% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample943.0ms (24.9%)

Results

733.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-sub: 81.0ms (37.5% of total)

ival-mult: 70.0ms (32.4% of total)

ival-add: 55.0ms (25.5% of total)

const: 7.0ms (3.2% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess187.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1175×	`fma-neg`
316×	`fma-define`
241×	`distribute-rgt-in`
184×	`unsub-neg`
170×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	377
1	78	321
2	237	317
3	843	317
4	1876	317
5	3201	317
6	3496	317
7	3528	317
8	3528	317
9	4163	317
10	4163	317

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z (-.f64 x y) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(-.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 (-.f64 y x) z (neg.f64 x))
(neg.f64 (fma.f64 z (-.f64 x y) x))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 x (*.f64 (-.f64 z x) y))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

explain140.0ms (3.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(+.f64 x (*.f64 (-.f64 y x) z))`
-	-	`(*.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(-.f64 y x)`

Results

113.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (36.3% of total)

ival-mult: 4.0ms (36.3% of total)

ival-add: 3.0ms (27.2% of total)

const: 1.0ms (9.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

localize68.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 (-.f64 y x) z))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(*.f64 (-.f64 y x) z)
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	accuracy	100.0%	(*.f64 (-.f64 y x) z)

Rules

278×	`fma-define`
251×	`fma-neg`
52×	`cancel-sign-sub-inv`
48×	`distribute-rgt-in`
44×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	78
1	17	74
2	31	74
3	59	74
4	107	74
5	181	74
6	293	74
7	489	74
8	885	74
9	1121	74
10	1221	74
11	1228	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

Results

21.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

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

ival-mult: 5.0ms (57.7% of total)

ival-sub: 2.0ms (23.1% of total)

ival-add: 1.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Counts

3 → 93

Calls

Call 1

Inputs
#<alt (*.f64 (-.f64 y x) z)>
#<alt (+.f64 x (*.f64 (-.f64 y x) z))>
#<alt (-.f64 y x)>

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (- y x) z)
1.0ms	z	@	inf	(+ x (* (- y x) z))
1.0ms	x	@	-inf	(* (- y x) z)
1.0ms	y	@	inf	(- y x)
1.0ms	y	@	0	(* (- y x) z)

rewrite295.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
652×	`unpow-prod-down`
367×	`log-prod`
363×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	146	62
2	2133	62

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(*.f64 (-.f64 y x) z)
(+.f64 x (*.f64 (-.f64 y x) z))
(-.f64 y x)

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

simplify145.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

381×	`fma-neg`
324×	`cancel-sign-sub-inv`
297×	`unswap-sqr`
273×	`associate-+r+`
271×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	534	10529
1	1177	9621
2	3626	9459

Stop Event

1×	node limit

Counts

309 → 296

Calls

Call 1

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

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

eval83.0ms (2.2%)

Compiler: Compiled 4413 to 970 computations (78% saved)

prune42.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	292	4	296
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	292	5	297

Accuracy

100.0%

Counts

297 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(+.f64 x (+.f64 (.f64 z y) (.f64 z (neg.f64 x))))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
▶	76.4%	(+.f64 x (*.f64 z y))
▶	62.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	37.5%	x

Compiler

Compiled 43 to 28 computations (34.9% saved)

localize214.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 z (neg.f64 x))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	192	(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
✓	cost-diff	-6272	(+.f64 x (*.f64 z y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(*.f64 z (neg.f64 x))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	97.6%	(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))

Rules

349×	`fma-define`
277×	`fma-neg`
44×	`cancel-sign-sub-inv`
41×	`distribute-rgt-in`
39×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	200
1	42	184
2	80	184
3	141	184
4	251	184
5	432	184
6	748	184
7	1060	184
8	1210	184
9	1227	184

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

115.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-sub: 43.0ms (78.6% of total)

ival-mult: 6.0ms (11% of total)

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

const: 1.0ms (1.8% of total)

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

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

series19.0ms (0.5%)

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (+.f64 (.f64 z y) (.f64 z (neg.f64 x)))>
#<alt (neg.f64 x)>
#<alt (*.f64 z (neg.f64 x))>

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (* z y) (* z (neg x)))
2.0ms	z	@	0	(+ (* z y) (* z (neg x)))
1.0ms	z	@	-inf	(+ (* z y) (* z (neg x)))
1.0ms	x	@	0	(* x (- 1 z))
0.0ms	z	@	inf	(+ (* z y) (* z (neg x)))

rewrite157.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log1p-expm1-u`
755×	`expm1-log1p-u`
596×	`fma-define`
301×	`fma-neg`
197×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	250	99
2	3674	99

Stop Event

1×	node limit

Counts

7 → 362

Calls

Call 1

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

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

simplify195.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-neg`
397×	`distribute-lft-neg-in`
380×	`distribute-rgt-neg-in`
276×	`associate-l`
265×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	666	14259
1	1491	12771
2	4785	12404

Stop Event

1×	node limit

Counts

518 → 446

Calls

Call 1

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

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

eval54.0ms (1.4%)

Compiler: Compiled 6152 to 1157 computations (81.2% saved)

prune66.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	456	3	459
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	457	7	464

Accuracy

100.0%

Counts

464 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	76.4%	(+.f64 x (*.f64 z y))
▶	27.6%	(*.f64 (neg.f64 x) z)
▶	40.8%	(*.f64 z y)
✓	62.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	37.5%	x

Compiler

Compiled 55 to 36 computations (34.5% saved)

localize87.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
✓	cost-diff	0	(*.f64 x z)
	cost-diff	0	(*.f64 z y)
✓	cost-diff	128	(-.f64 (.f64 z y) (.f64 x z))
	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 (neg.f64 x) z)
	cost-diff	0	(*.f64 z y)
✓	accuracy	100.0%	(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	97.6%	(-.f64 (.f64 z y) (.f64 x z))
✓	accuracy	100.0%	(*.f64 (neg.f64 x) z)
	accuracy	100.0%	(neg.f64 x)
	accuracy	100.0%	(*.f64 z y)

Rules

332×	`fma-neg`
260×	`fma-define`
57×	`cancel-sign-sub-inv`
51×	`distribute-rgt-in`
48×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	163
1	31	145
2	54	141
3	114	141
4	199	141
5	349	141
6	666	141
7	1094	141
8	1280	141
9	1306	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 z y)
z
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
x
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 z y)
z
y
(*.f64 x z)

Outputs
(*.f64 z y)
z
y
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
z
(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
(+.f64 x (-.f64 (.f64 z y) (.f64 z x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
x
(-.f64 (.f64 z y) (.f64 x z))
(-.f64 (.f64 z y) (.f64 z x))
(*.f64 z (-.f64 y x))
(*.f64 z y)
z
y
(*.f64 x z)
(*.f64 z x)

Results

28.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

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

ival-mult: 6.0ms (58.4% of total)

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

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

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

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (*.f64 (neg.f64 x) z)>
#<alt (-.f64 (.f64 z y) (.f64 x z))>
#<alt (*.f64 x z)>
#<alt (+.f64 x (-.f64 (.f64 z y) (.f64 x z)))>

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

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(- (* z y) (* x z))
0.0ms	x	@	-inf	(+ x (- (* z y) (* x z)))
0.0ms	y	@	-inf	(- (* z y) (* x z))
0.0ms	z	@	-inf	(+ x (- (* z y) (* x z)))
0.0ms	x	@	-inf	(- (* z y) (* x z))

rewrite137.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`log1p-expm1-u`
944×	`expm1-log1p-u`
631×	`fma-define`
329×	`fma-neg`
156×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	105
1	223	79
2	3221	75

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

Inputs
(*.f64 (neg.f64 x) z)
(-.f64 (.f64 z y) (.f64 x z))
(*.f64 x z)
(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))

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

simplify179.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

543×	`distribute-lft-in`
532×	`distribute-rgt-in`
513×	`fma-neg`
363×	`associate-+r+`
315×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	14032
1	1134	12984
2	3205	12117

Stop Event

1×	node limit

Counts

377 → 364

Calls

Call 1

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

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

eval52.0ms (1.4%)

Compiler: Compiled 6629 to 959 computations (85.5% saved)

prune60.0ms (1.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	422	0	422
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	422	7	429

Accuracy

100.0%

Counts

429 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(+.f64 x (-.f64 (.f64 z y) (.f64 x z)))
✓	100.0%	(+.f64 x (*.f64 (-.f64 y x) z))
✓	76.4%	(+.f64 x (*.f64 z y))
✓	27.6%	(*.f64 (neg.f64 x) z)
✓	40.8%	(*.f64 z y)
✓	62.1%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	37.5%	x

Compiler

Compiled 102 to 55 computations (46.1% saved)

regimes14.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))

Calls

4 calls:

4.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (*.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
85.2%	3	`x`
91.2%	3	`y`
80.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.7%	3	`x`
80.8%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.2%)

Counts

3 → 5

Calls

Call 1

Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 x) z)

Outputs
(*.f64 z y)
(*.f64 (neg.f64 x) z)
(*.f64 z y)
x
(*.f64 z y)

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
55.2%	3	`x`
71.0%	5	`z`
62.3%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

Outputs
(*.f64 z y)
x
(*.f64 z y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.2%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
37.5%	1	`x`
37.5%	1	`y`
37.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.4947045306058635e-19	3.964777908144402e-14
12.0ms	-2.515981015942024e-145	-5.048869429606404e-148

Results

14.0ms

256×

valid

Compiler

Compiled 304 to 219 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (39% of total)

ival-mult: 2.0ms (39% of total)

ival-add: 1.0ms (19.5% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.099380487063259e+122	7.332769542914908e+138
3.0ms	-6.637123141613163e+116	-5.846294002935706e+116

Results

10.0ms

192×

valid

Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (26.2% of total)

ival-add: 1.0ms (26.2% of total)

ival-mult: 1.0ms (26.2% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.309323614576517e-19	1.0793476210643241e-15
10.0ms	-2.7876735071624584e-22	-9.613042117797031e-26
11.0ms	-1.2506992276460331e+20	-1784797496431590.8
12.0ms	-4.121816378576555e+274	-5.600595424207912e+271

Results

28.0ms

528×

valid

Compiler

Compiled 463 to 342 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

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

ival-sub: 3.0ms (28.5% of total)

ival-add: 3.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.309323614576517e-19	1.0793476210643241e-15
10.0ms	-2.7876735071624584e-22	-9.613042117797031e-26

Results

13.0ms

256×

valid

Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (38.6% of total)

ival-mult: 2.0ms (38.6% of total)

ival-add: 1.0ms (19.3% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
8×	`if-if-or-not`
7×	`+-commutative`
5×	`sub-neg`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	320
1	86	320
2	97	320
3	104	320
4	106	320

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -6888961747894269/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (+.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 1687496479023819/1298074214633706907132624082305024 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -599999999999999974339638081151915024600885204270695014371151453967101285886523719399743246759013697029512936151842816 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 z y)))
(if (<=.f64 z #s(literal -1699999999999999991268169366820189879461226311027929367217145059458161391005427179376705178130543104414360876508982690521344760493636945788109717242557507362161396122750998860031104443962093645033139021901880146595065713508450058525698000870484090681502132228821509281415168 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -15200000000000000000 binary64)) (.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -8932412131674635/85070591730234615865843651857942052864 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) x (.f64 z y)))))
(if (<=.f64 z #s(literal -2450033041830757/5444517870735015415413993718908291383296 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 6814889626826961/324518553658426726783156020576256 binary64)) x (.f64 z y)))
x

Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -6888961747894269/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (+.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 1687496479023819/1298074214633706907132624082305024 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 z y))))
(if (or (<=.f64 y #s(literal -6888961747894269/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592 binary64)) (not (<=.f64 y #s(literal 1687496479023819/1298074214633706907132624082305024 binary64)))) (+.f64 x (.f64 y z)) (.f64 x (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 y #s(literal -599999999999999974339638081151915024600885204270695014371151453967101285886523719399743246759013697029512936151842816 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 z y)))
(if (or (<=.f64 y #s(literal -599999999999999974339638081151915024600885204270695014371151453967101285886523719399743246759013697029512936151842816 binary64)) (not (<=.f64 y #s(literal 79999999999999995868254995738497145715158147018256698815684116904679432563896219354020299592712167071081603380907405008175104 binary64)))) (.f64 y z) (.f64 x (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -1699999999999999991268169366820189879461226311027929367217145059458161391005427179376705178130543104414360876508982690521344760493636945788109717242557507362161396122750998860031104443962093645033139021901880146595065713508450058525698000870484090681502132228821509281415168 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -15200000000000000000 binary64)) (.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal -8932412131674635/85070591730234615865843651857942052864 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 2271629875608987/20282409603651670423947251286016 binary64)) x (.f64 z y)))))
(if (<=.f64 z #s(literal -1699999999999999991268169366820189879461226311027929367217145059458161391005427179376705178130543104414360876508982690521344760493636945788109717242557507362161396122750998860031104443962093645033139021901880146595065713508450058525698000870484090681502132228821509281415168 binary64)) (.f64 y z) (if (<=.f64 z #s(literal -15200000000000000000 binary64)) (.f64 z (neg.f64 x)) (if (or (<=.f64 z #s(literal -8932412131674635/85070591730234615865843651857942052864 binary64)) (not (<=.f64 z #s(literal 2271629875608987/20282409603651670423947251286016 binary64)))) (*.f64 y z) x)))
(if (<=.f64 z #s(literal -2450033041830757/5444517870735015415413993718908291383296 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 6814889626826961/324518553658426726783156020576256 binary64)) x (.f64 z y)))
(if (or (<=.f64 z #s(literal -2450033041830757/5444517870735015415413993718908291383296 binary64)) (not (<=.f64 z #s(literal 6814889626826961/324518553658426726783156020576256 binary64)))) (*.f64 y z) x)
x

soundness421.0ms (11.1%)

Rules

614×	`fma-neg`
397×	`distribute-lft-neg-in`
381×	`fma-neg`
380×	`distribute-rgt-neg-in`
324×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	666	14259
1	1491	12771
2	4785	12404
0	534	10529
1	1177	9621
2	3626	9459

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 147 to 81 computations (44.9% saved)

preprocess47.0ms (1.2%)

Compiler: Compiled 196 to 106 computations (45.9% saved)

Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

analyze0.0ms (0%)

sample943.0ms (24.9%)

preprocess187.0ms (4.9%)

explain140.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize68.0ms (1.8%)

series12.0ms (0.3%)

rewrite295.0ms (7.8%)

simplify145.0ms (3.8%)

eval83.0ms (2.2%)

prune42.0ms (1.1%)

localize214.0ms (5.7%)

series19.0ms (0.5%)

rewrite157.0ms (4.2%)

simplify195.0ms (5.2%)

eval54.0ms (1.4%)

prune66.0ms (1.7%)

localize87.0ms (2.3%)

series7.0ms (0.2%)

rewrite137.0ms (3.6%)

simplify179.0ms (4.7%)

eval52.0ms (1.4%)

prune60.0ms (1.6%)

regimes14.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.6%)

bsearch17.0ms (0.5%)

bsearch50.0ms (1.3%)

bsearch30.0ms (0.8%)

simplify8.0ms (0.2%)

soundness421.0ms (11.1%)

preprocess47.0ms (1.2%)

end0.0ms (0%)

Profiling