Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

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 8 computations (27.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample1.1s (24.3%)

Results

464.0ms	8255×	0	valid
103.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-mult: 173.0ms (60.3% of total)

ival-add: 98.0ms (34.2% of total)

const: 12.0ms (4.2% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess240.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

2564×	`fma-neg`
818×	`unsub-neg`
747×	`fma-define`
332×	`distribute-lft-in`
320×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	120	312
2	449	308
3	1443	308
4	3917	308
5	5374	308
6	6275	308
7	6394	308
8	6404	308
9	6409	308
10	6484	308
11	6520	308
12	6520	308

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

explain67.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

38.0ms

512×

256

valid

Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 11.0ms (69.2% of total)

ival-mult: 4.0ms (25.2% of total)

const: 1.0ms (6.3% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize28.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

21.0ms

256×

256

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 4.0ms (58.7% of total)

ival-mult: 2.0ms (29.3% of total)

const: 1.0ms (14.7% of total)

series5.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite324.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`
360×	`log-prod`
321×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	157	28
2	2220	28

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

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

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

336×	`distribute-lft-neg-in`
303×	`*-commutative`
282×	`associate-+r+`
279×	`distribute-rgt-neg-in`
269×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

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

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

eval40.0ms (0.9%)

Compiler: Compiled 1757 to 837 computations (52.4% saved)

prune19.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Accuracy

100.0%

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
▶	48.1%	(+.f64 y x)
▶	52.5%	(*.f64 z (+.f64 y x))
▶	46.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	56.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 84 to 54 computations (35.7% saved)

localize143.0ms (3.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 z (+.f64 y x))
✓	100.0%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))

Results

126.0ms

256×

256

valid

Compiler

Compiled 62 to 21 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 9.0ms (51.8% of total)

ival-mult: 7.0ms (40.3% of total)

const: 1.0ms (5.8% of total)

series15.0ms (0.3%)

Counts

5 → 132

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite141.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
366×	`fma-neg`
207×	`expm1-undefine`
205×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	122
1	285	110
2	4022	110

Stop Event

1×	node limit

Counts

5 → 156

Calls

Call 1

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

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

simplify140.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

363×	`cancel-sign-sub-inv`
355×	`fma-neg`
323×	`associate-/r*`
285×	`associate-+l+`
276×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	10547
1	1034	9688
2	3443	9354

Stop Event

1×	node limit

Counts

288 → 221

Calls

Call 1

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

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

eval106.0ms (2.4%)

Compiler: Compiled 3106 to 1413 computations (54.5% saved)

prune113.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	217	4	221
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	218	8	226

Accuracy

100.0%

Counts

226 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.9%	(+.f64 (*.f64 y z) y)
▶	56.9%	(+.f64 (*.f64 x z) x)
✓	48.1%	(+.f64 y x)
✓	52.5%	(*.f64 z (+.f64 y x))
✓	46.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	56.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
▶	24.8%	y
▶	24.6%	x

Compiler

Compiled 54 to 37 computations (31.5% saved)

localize29.0ms (0.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 y z) y)
✓	100.0%	(+.f64 (*.f64 x z) x)

Results

21.0ms

256×

256

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (62.1% of total)

ival-add: 3.0ms (37.3% of total)

const: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite100.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u`
879×	`expm1-log1p-u`
466×	`fma-define`
438×	`log-prod`
230×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	169	36
2	2418	36

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

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

simplify171.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

876×	`times-frac`
407×	`fma-define`
354×	`associate-/l*`
308×	`exp-prod`
291×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	4558
1	699	4369
2	1787	4156
3	7648	4156

Stop Event

1×	node limit

Counts

166 → 146

Calls

Call 1

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

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

eval28.0ms (0.6%)

Compiler: Compiled 1476 to 669 computations (54.7% saved)

prune26.0ms (0.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	144	10	154

Accuracy

100.0%

Counts

154 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.9%	(+.f64 (*.f64 y z) y)
✓	56.9%	(+.f64 (*.f64 x z) x)
✓	48.1%	(+.f64 y x)
✓	52.5%	(*.f64 z (+.f64 y x))
▶	24.8%	(*.f64 z y)
✓	46.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	56.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
▶	32.6%	(*.f64 x z)
✓	24.8%	y
✓	24.6%	x

Compiler

Compiled 66 to 45 computations (31.8% saved)

localize79.0ms (1.8%)

Results

74.0ms

256×

256

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 63.0ms (99.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	8	8
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.9%	(+.f64 (*.f64 y z) y)
✓	56.9%	(+.f64 (*.f64 x z) x)
✓	48.1%	(+.f64 y x)
✓	52.5%	(*.f64 z (+.f64 y x))
✓	24.8%	(*.f64 z y)
✓	46.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	56.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	32.6%	(*.f64 x z)
✓	24.8%	y
✓	24.6%	x

Compiler

Compiled 121 to 67 computations (44.6% saved)

regimes25.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	y
4.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
4.0ms	x
4.0ms	(+.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes24.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(+.f64 x y)
5.0ms	y
4.0ms	x
4.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes99.0ms (2.2%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	y
12.0ms	z
7.0ms	x

Results

Accuracy	Segments	Branch
84.5%	2	`x`
83.8%	4	`y`
98.4%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
84.5%	2	`x`
84.5%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes26.0ms (0.6%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
10.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
84.5%	5	`z`
74.8%	6	`y`
72.0%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.8%	4	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.5%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
8.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
53.2%	8	`y`
48.9%	4	`x`
63.8%	7	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

3 → 6

Calls

Call 1

Inputs
x
y
(*.f64 x z)

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
60.5%	6	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

5.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
40.0%	2	`y`
40.0%	2	`x`
30.8%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
24.6%	1	`z`
24.6%	1	`x`
24.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	4459921.969934078	40912937.868680514
15.0ms	3.859466832166957e-10	1.3840657963522847e-8
11.0ms	-6425.252347066923	-0.17853951528051318

Results

18.0ms

336×

valid

Compiler

Compiled 364 to 262 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-add: 4.0ms (52.3% of total)

ival-mult: 3.0ms (39.2% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-5.28503822412809e-179	-4.5941170761083854e-181

Results

6.0ms

112×

valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (43.8% of total)

ival-mult: 1.0ms (43.8% of total)

const: 0.0ms (0% of total)

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

bsearch114.0ms (2.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
73.0ms	4.594742230894725e+157	3.4768003014399467e+166
14.0ms	9.223293354495487e+33	2.2229233931887755e+58
9.0ms	3.859466832166957e-10	1.3840657963522847e-8
15.0ms	-1.5206926847800163e-13	-5.4193141651273764e-20

Results

89.0ms

576×

valid

Compiler

Compiled 592 to 444 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 65.0ms (89.6% of total)

ival-add: 7.0ms (9.6% of total)

const: 1.0ms (1.4% of total)

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

bsearch36.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.594742230894725e+157	3.4768003014399467e+166
8.0ms	4459921.969934078	40912937.868680514
10.0ms	-6425.252347066923	-0.17853951528051318

Results

22.0ms

368×

valid

Compiler

Compiled 338 to 242 computations (28.4% saved)

Precisions

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

ival-add: 4.0ms (53.7% of total)

ival-mult: 3.0ms (40.3% of total)

const: 1.0ms (13.4% of total)

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

bsearch114.0ms (2.6%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	4.594742230894725e+157	3.4768003014399467e+166
15.0ms	3.859466832166957e-10	1.3840657963522847e-8
10.0ms	5.653824725153943e-85	1.6384670778464877e-80
8.0ms	-1.5132563329636718e-214	-3.025676794088908e-215
54.0ms	-7.430826914336863e-57	-5.304977163558556e-59
10.0ms	-6425.252347066923	-0.17853951528051318

Results

42.0ms

720×

valid

Compiler

Compiled 532 to 405 computations (23.9% saved)

Precisions

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

ival-add: 14.0ms (68.1% of total)

ival-mult: 5.0ms (24.3% of total)

const: 1.0ms (4.9% of total)

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

bsearch63.0ms (1.4%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	3.859466832166957e-10	1.3840657963522847e-8
10.0ms	5.653824725153943e-85	1.6384670778464877e-80
20.0ms	-1.5132563329636718e-214	-3.025676794088908e-215
9.0ms	-7.430826914336863e-57	-5.304977163558556e-59
10.0ms	-6425.252347066923	-0.17853951528051318

Results

29.0ms

576×

valid

Compiler

Compiled 406 to 315 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (51.7% of total)

ival-mult: 4.0ms (34.4% of total)

const: 1.0ms (8.6% of total)

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

bsearch64.0ms (1.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
63.0ms	5.359305174744445e-64	2.027844012331967e-62

Results

60.0ms

112×

valid

Compiler

Compiled 86 to 68 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (44.5% of total)

ival-mult: 1.0ms (44.5% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	690
1	108	690

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 32000000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 y x)))))
(if (<=.f64 x #s(literal -7591901187723333/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -5942112188569825/39614081257132168796771975168 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 8510837770086989/9671406556917033397649408 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 52999999999999998355890909662170960007051969395953695813047560142339603749829798294130305305340412463131474389015900047137207033640558615039693612301041008640 binary64)) (.f64 z y) (.f64 x (+.f64 #s(literal 1 binary64) z))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal 4500000 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 86000000000000004245106355448738316919011853636358138002005871436142359303213570183527554393227688249981746858530237721262029735037289377691798419953945881429934080 binary64)) (.f64 z y) (*.f64 x z))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -6558536304457363/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) x (if (<=.f64 z #s(literal -5918975226896453/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) y (if (<=.f64 z #s(literal 3631177961065547/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) x (if (<=.f64 z #s(literal 4110347786689739/302231454903657293676544 binary64)) y (if (<=.f64 z #s(literal 89999999999999996978034935753274372581137982391627863044222998453311712819643395715756964579545805058243150564521990413193861949710484050343939058676864647168 binary64)) (.f64 z y) (*.f64 x z)))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -1908194829960655/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) x (if (<=.f64 z #s(literal -5239748561514893/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616 binary64)) y (if (<=.f64 z #s(literal 6493400589199567/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) x (if (<=.f64 z #s(literal 4110347786689739/302231454903657293676544 binary64)) y (.f64 x z))))))
(if (<=.f64 y #s(literal 2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) x y)
x

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (*.f64 z (+.f64 x y)) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 32000000 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 y x)))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 x y)) (if (<=.f64 z #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 32000000 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 z (+.f64 x y)))))
(if (<=.f64 x #s(literal -7591901187723333/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 x #s(literal -7591901187723333/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -5942112188569825/39614081257132168796771975168 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 8510837770086989/9671406556917033397649408 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 52999999999999998355890909662170960007051969395953695813047560142339603749829798294130305305340412463131474389015900047137207033640558615039693612301041008640 binary64)) (.f64 z y) (.f64 x (+.f64 #s(literal 1 binary64) z))))))
(if (<=.f64 z #s(literal -5942112188569825/39614081257132168796771975168 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (if (<=.f64 z #s(literal 8510837770086989/9671406556917033397649408 binary64)) (+.f64 x y) (if (or (<=.f64 z #s(literal 1199999999999999947400011835148396501334491136 binary64)) (not (<=.f64 z #s(literal 52999999999999998355890909662170960007051969395953695813047560142339603749829798294130305305340412463131474389015900047137207033640558615039693612301041008640 binary64)))) (.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y z))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal 4500000 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 86000000000000004245106355448738316919011853636358138002005871436142359303213570183527554393227688249981746858530237721262029735037289377691798419953945881429934080 binary64)) (.f64 z y) (*.f64 x z))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal 4500000 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 86000000000000004245106355448738316919011853636358138002005871436142359303213570183527554393227688249981746858530237721262029735037289377691798419953945881429934080 binary64)) (.f64 y z) (*.f64 x z))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -6558536304457363/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) x (if (<=.f64 z #s(literal -5918975226896453/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) y (if (<=.f64 z #s(literal 3631177961065547/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) x (if (<=.f64 z #s(literal 4110347786689739/302231454903657293676544 binary64)) y (if (<=.f64 z #s(literal 89999999999999996978034935753274372581137982391627863044222998453311712819643395715756964579545805058243150564521990413193861949710484050343939058676864647168 binary64)) (.f64 z y) (*.f64 x z)))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -6558536304457363/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) x (if (<=.f64 z #s(literal -5918975226896453/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808 binary64)) y (if (<=.f64 z #s(literal 3631177961065547/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) x (if (<=.f64 z #s(literal 4110347786689739/302231454903657293676544 binary64)) y (if (<=.f64 z #s(literal 89999999999999996978034935753274372581137982391627863044222998453311712819643395715756964579545805058243150564521990413193861949710484050343939058676864647168 binary64)) (.f64 y z) (*.f64 x z)))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -1908194829960655/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) x (if (<=.f64 z #s(literal -5239748561514893/97032380768794308446811218028906409703555376069793538196190752376628184542898555395679900551790404871905483168570692075385723752757175899465267954690073821200278436001303119096891580351974902801578937449607279296930802928363503616 binary64)) y (if (<=.f64 z #s(literal 6493400589199567/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) x (if (<=.f64 z #s(literal 4110347786689739/302231454903657293676544 binary64)) y (.f64 x z))))))
(if (<=.f64 y #s(literal 2037940770576765/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) x y)
x

soundness609.0ms (13.7%)

Rules

876×	`times-frac`
873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
815×	`log1p-expm1-u`
815×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	157	28
2	2220	28
0	295	4558
1	699	4369
2	1787	4156
3	7648	4156
0	18	122
1	285	110
2	4022	110
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 312 to 156 computations (50% saved)

preprocess139.0ms (3.1%)

Remove: (sort x y)
Compiler: Compiled 504 to 254 computations (49.6% saved)

analyze0.0ms (0%)

sample1.1s (24.3%)

preprocess240.0ms (5.4%)

explain67.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.6%)

series5.0ms (0.1%)

rewrite324.0ms (7.3%)

simplify105.0ms (2.4%)

eval40.0ms (0.9%)

prune19.0ms (0.4%)

localize143.0ms (3.2%)

series15.0ms (0.3%)

rewrite141.0ms (3.2%)

simplify140.0ms (3.1%)

eval106.0ms (2.4%)

prune113.0ms (2.5%)

localize29.0ms (0.6%)

series7.0ms (0.2%)

rewrite100.0ms (2.2%)

simplify171.0ms (3.8%)

eval28.0ms (0.6%)

prune26.0ms (0.6%)

localize79.0ms (1.8%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes25.0ms (0.6%)

regimes24.0ms (0.5%)

regimes99.0ms (2.2%)

regimes19.0ms (0.4%)

regimes26.0ms (0.6%)

regimes8.0ms (0.2%)

regimes23.0ms (0.5%)

regimes8.0ms (0.2%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

bsearch37.0ms (0.8%)

bsearch10.0ms (0.2%)

bsearch114.0ms (2.6%)

bsearch36.0ms (0.8%)

bsearch114.0ms (2.6%)

bsearch63.0ms (1.4%)

bsearch64.0ms (1.4%)

simplify7.0ms (0.2%)

soundness609.0ms (13.7%)

preprocess139.0ms (3.1%)

end0.0ms (0%)

Profiling