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)

sample1.2s (28.1%)

Results

941.0ms	8254×	0	valid
0.0ms	1×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-add: 292.0ms (77.5% of total)

ival-mult: 70.0ms (18.6% of total)

const: 11.0ms (2.9% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess251.0ms (5.7%)

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)

explain62.0ms (1.4%)

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

40.0ms

512×

256

valid

Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 8.0ms (59.4% of total)

ival-mult: 4.0ms (29.7% of total)

const: 1.0ms (7.4% 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)

localize117.0ms (2.6%)

Localize:

Found 1 expressions with local error:

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

Results

109.0ms

256×

256

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 6.0ms (70.6% of total)

ival-mult: 2.0ms (23.5% of total)

const: 1.0ms (11.8% of total)

series10.0ms (0.2%)

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
5.0ms	x	@	inf	(* (+ x y) (+ z 1))
1.0ms	z	@	0	(* (+ x y) (+ z 1))
1.0ms	x	@	-inf	(* (+ x y) (+ z 1))
0.0ms	y	@	inf	(* (+ x y) (+ z 1))
0.0ms	x	@	0	(* (+ x y) (+ z 1))

rewrite265.0ms (6%)

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))

simplify106.0ms (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))

eval22.0ms (0.5%)

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

prune21.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Accuracy

100.0%

Counts

114 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
▶	50.0%	(+.f64 y x)
▶	51.2%	(*.f64 z (+.f64 y x))
	83.1%	(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
▶	49.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	54.6%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 116 to 72 computations (37.9% saved)

localize71.0ms (1.6%)

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

Results

46.0ms

256×

256

valid

Compiler

Compiled 62 to 21 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 10.0ms (53.1% of total)

ival-mult: 8.0ms (42.5% of total)

const: 1.0ms (5.3% of total)

series15.0ms (0.3%)

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 x y) z)>
#<alt (+.f64 (+.f64 x y) (*.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 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 (+.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 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	@	0	(* x (+ 1 z))
1.0ms	z	@	inf	(* (+ x y) z)
0.0ms	z	@	inf	(+ (+ x y) (* (+ x y) z))
0.0ms	z	@	0	(* (+ x y) z)
0.0ms	x	@	inf	(* x (+ 1 z))

rewrite198.0ms (4.5%)

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

simplify168.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	10547
1	1034	9688
2	3442	9354

Stop Event

1×	node limit

Counts

288 → 219

Calls

Call 1

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

eval37.0ms (0.8%)

Compiler: Compiled 3073 to 1397 computations (54.5% saved)

prune87.0ms (2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	217	8	225

Accuracy

100.0%

Counts

225 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(+.f64 (*.f64 x z) x)
✓	50.0%	(+.f64 y x)
▶	43.0%	(*.f64 z (+.f64 y (/.f64 y z)))
✓	51.2%	(*.f64 z (+.f64 y x))
✓	49.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	54.6%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
▶	25.5%	y
▶	26.6%	x

Compiler

Compiled 56 to 38 computations (32.1% saved)

localize35.0ms (0.8%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x z) x)
✓	100.0%	(+.f64 y (/.f64 y z))
✓	90.4%	(*.f64 z (+.f64 y (/.f64 y z)))

Results

25.0ms

256×

256

valid

Compiler

Compiled 33 to 9 computations (72.7% saved)

Precisions

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

ival-mult: 4.0ms (42.6% of total)

ival-add: 3.0ms (31.9% of total)

ival-div: 2.0ms (21.3% of total)

const: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts

3 → 63

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite140.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log1p-expm1-u`
718×	`expm1-log1p-u`
558×	`log-prod`
483×	`fma-define`
243×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	200	71
2	3121	71

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

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

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/l*`
416×	`distribute-lft-in`
399×	`distribute-rgt-in`
282×	`associate-*r/`
276×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	7005
1	1011	6294
2	2718	6189

Stop Event

1×	node limit

Counts

241 → 211

Calls

Call 1

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

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

eval34.0ms (0.8%)

Compiler: Compiled 2654 to 976 computations (63.2% saved)

prune46.0ms (1.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	209	10	219

Accuracy

100.0%

Counts

219 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	(+.f64 (*.f64 x z) x)
✓	50.0%	(+.f64 y x)
✓	43.0%	(*.f64 z (+.f64 y (/.f64 y z)))
✓	51.2%	(*.f64 z (+.f64 y x))
▶	29.5%	(*.f64 z x)
✓	49.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	26.8%	(*.f64 y z)
✓	54.6%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	25.5%	y
✓	26.6%	x

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize21.0ms (0.5%)

Results

16.0ms

256×

256

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (107% 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
✓	54.6%	(+.f64 (*.f64 x z) x)
✓	50.0%	(+.f64 y x)
✓	43.0%	(*.f64 z (+.f64 y (/.f64 y z)))
✓	51.2%	(*.f64 z (+.f64 y x))
✓	29.5%	(*.f64 z x)
✓	49.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	26.8%	(*.f64 y z)
✓	54.6%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	25.5%	y
✓	26.6%	x

Compiler

Compiled 138 to 75 computations (45.7% saved)

regimes30.0ms (0.7%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	y
5.0ms	z
5.0ms	x
5.0ms	(+.f64 x y)
4.0ms	(*.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)

regimes25.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
x
y
(*.f64 y z)
(*.f64 z x)
(+.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 z (+.f64 y (/.f64 y z)))
(*.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	y
5.0ms	(+.f64 x y)
4.0ms	z
4.0ms	x
4.0ms	(*.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)

regimes31.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
9.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
84.2%	4	`x`
85.5%	4	`y`
97.8%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.4%)

Counts

7 → 4

Calls

Call 1

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

Calls

2 calls:

8.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
85.5%	4	`y`
80.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes27.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
80.3%	3	`z`
69.8%	4	`x`
71.7%	4	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.5%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
8.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
55.6%	9	`x`
53.3%	6	`y`
62.8%	6	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

3 → 6

Calls

Call 1

Inputs
x
y
(*.f64 y z)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
56.8%	6	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
42.0%	2	`x`
41.7%	2	`y`
33.2%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
26.6%	1	`z`
26.6%	1	`y`
26.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.007873514428207648	2.156389463637399
9.0ms	-13.059938398327576	-0.1116419355205004

Results

12.0ms

240×

valid

Compiler

Compiled 256 to 177 computations (30.9% saved)

Precisions

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

ival-add: 3.0ms (63.6% of total)

ival-mult: 2.0ms (42.4% of total)

const: 0.0ms (0% of total)

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

bsearch175.0ms (4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
67.0ms	3.898003567195709e-41	4.216731463365113e-39
27.0ms	1.5591557684996646e-65	8.721525877216718e-62
8.0ms	5.022492787015046e-197	2.2135367135387407e-196

Results

91.0ms

336×

valid

Compiler

Compiled 394 to 306 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 20.0ms (86.7% of total)

ival-mult: 2.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	84.69600895457059	94468572.21002662
13.0ms	-3.2509838555106594e-26	-6.894292136245705e-30

Results

15.0ms

272×

valid

Compiler

Compiled 270 to 198 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 4.0ms (62.8% of total)

ival-mult: 2.0ms (31.4% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	84.69600895457059	94468572.21002662
10.0ms	-13.059938398327576	-0.1116419355205004

Results

17.0ms

256×

valid

Compiler

Compiled 240 to 172 computations (28.3% saved)

Precisions

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

ival-add: 6.0ms (64.9% of total)

ival-mult: 3.0ms (32.4% of total)

const: 0.0ms (0% of total)

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

bsearch134.0ms (3%)

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
13.0ms	5.801517440410235e-23	1.014948181274817e-16
81.0ms	1.5400264231580287e-209	2.914357720371685e-207
6.0ms	-1.3929852632276027e-180	-3.947374502364243e-181
13.0ms	-1.575573923212872e-113	-1.3504280640785576e-117
15.0ms	-2128584.294208049	-13.059938398327576

Results

110.0ms

608×

valid

Compiler

Compiled 432 to 334 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 7.0ms (54.5% of total)

ival-mult: 4.0ms (31.1% of total)

const: 1.0ms (7.8% of total)

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

bsearch152.0ms (3.4%)

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
33.0ms	5.801517440410235e-23	1.014948181274817e-16
9.0ms	1.5400264231580287e-209	2.914357720371685e-207
57.0ms	-1.3929852632276027e-180	-3.947374502364243e-181
40.0ms	-1.575573923212872e-113	-1.3504280640785576e-117
9.0ms	-13.059938398327576	-0.1116419355205004

Results

79.0ms

576×

valid

Compiler

Compiled 408 to 316 computations (22.5% saved)

Precisions

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

ival-add: 6.0ms (53.7% of total)

ival-mult: 4.0ms (35.8% of total)

const: 1.0ms (9% 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	-2.977205669154177e-168	-5.100803625493187e-169

Results

6.0ms

96×

valid

Compiler

Compiled 76 to 60 computations (21.1% saved)

Precisions

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

ival-add: 1.0ms (51.8% of total)

ival-mult: 1.0ms (51.8% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	594
1	103	582
2	106	582
3	109	578
4	110	578
5	111	578

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 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (<=.f64 y #s(literal 4628919593362569/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 z #s(literal -348449143727041/10889035741470030830827987437816582766592 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 88 binary64)) (+.f64 y x) (.f64 y z)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z x) (if (<=.f64 z #s(literal 140 binary64)) (+.f64 y x) (.f64 y z)))
(if (<=.f64 z #s(literal -3715469692580659/281474976710656 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -554533938824163/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) x (if (<=.f64 z #s(literal -5793204598631959/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) y (if (<=.f64 z #s(literal 7229475734293037/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) x (if (<=.f64 z #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) y (.f64 y z))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 y z) (if (<=.f64 z #s(literal -554533938824163/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) x (if (<=.f64 z #s(literal -2008933852751405/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) y (if (<=.f64 z #s(literal 902238571639771/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) x (if (<=.f64 z #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) y (.f64 y z))))))
(if (<=.f64 x #s(literal -2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) x y)
x

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (+.f64 x y) (*.f64 z (+.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 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (+.f64 x y)) (+.f64 x y))
(if (<=.f64 y #s(literal 4628919593362569/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 y #s(literal 4628919593362569/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (if (or (<=.f64 y #s(literal 1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (not (<=.f64 y #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)))) (.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal 4628919593362569/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (not (or (<=.f64 y #s(literal 1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (not (<=.f64 y #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)))))) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (or (<=.f64 y #s(literal 4628919593362569/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (and (not (<=.f64 y #s(literal 1408031805125765/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64))) (<=.f64 y #s(literal 4290987514424489/1532495540865888858358347027150309183618739122183602176 binary64)))) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -348449143727041/10889035741470030830827987437816582766592 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 88 binary64)) (+.f64 y x) (.f64 y z)))
(if (<=.f64 z #s(literal -348449143727041/10889035741470030830827987437816582766592 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (if (<=.f64 z #s(literal 88 binary64)) (+.f64 x y) (.f64 y z)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z x) (if (<=.f64 z #s(literal 140 binary64)) (+.f64 y x) (.f64 y z)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 z #s(literal 140 binary64)) (+.f64 x y) (.f64 y z)))
(if (<=.f64 z #s(literal -3715469692580659/281474976710656 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -554533938824163/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) x (if (<=.f64 z #s(literal -5793204598631959/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) y (if (<=.f64 z #s(literal 7229475734293037/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) x (if (<=.f64 z #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) y (.f64 y z))))))
(if (<=.f64 z #s(literal -3715469692580659/281474976710656 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -554533938824163/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) x (if (<=.f64 z #s(literal -5793204598631959/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) y (if (<=.f64 z #s(literal 7229475734293037/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) x (if (<=.f64 z #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) y (.f64 y z))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 y z) (if (<=.f64 z #s(literal -554533938824163/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) x (if (<=.f64 z #s(literal -2008933852751405/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) y (if (<=.f64 z #s(literal 902238571639771/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) x (if (<=.f64 z #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) y (.f64 y z))))))
(if (<=.f64 x #s(literal -2761917562647189/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) x y)
x

soundness524.0ms (11.9%)

Rules

873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	7005
1	1011	6294
2	2718	6189
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830
0	13	28
1	157	28
2	2220	28
0	18	122
1	285	110
2	4022	110

Stop Event

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

Compiler

Compiled 255 to 128 computations (49.8% saved)

preprocess81.0ms (1.8%)

Remove: (sort x y)
Compiler: Compiled 440 to 226 computations (48.6% saved)

analyze0.0ms (0%)

sample1.2s (28.1%)

preprocess251.0ms (5.7%)

explain62.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize117.0ms (2.6%)

series10.0ms (0.2%)

rewrite265.0ms (6%)

simplify106.0ms (2.4%)

eval22.0ms (0.5%)

prune21.0ms (0.5%)

localize71.0ms (1.6%)

series15.0ms (0.3%)

rewrite198.0ms (4.5%)

simplify168.0ms (3.8%)

eval37.0ms (0.8%)

prune87.0ms (2%)

localize35.0ms (0.8%)

series10.0ms (0.2%)

rewrite140.0ms (3.2%)

simplify107.0ms (2.4%)

eval34.0ms (0.8%)

prune46.0ms (1.1%)

localize21.0ms (0.5%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes30.0ms (0.7%)

regimes25.0ms (0.6%)

regimes31.0ms (0.7%)

regimes16.0ms (0.4%)

regimes27.0ms (0.6%)

regimes6.0ms (0.1%)

regimes24.0ms (0.5%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch22.0ms (0.5%)

bsearch175.0ms (4%)

bsearch28.0ms (0.6%)

bsearch27.0ms (0.6%)

bsearch134.0ms (3%)

bsearch152.0ms (3.4%)

bsearch10.0ms (0.2%)

simplify14.0ms (0.3%)

soundness524.0ms (11.9%)

preprocess81.0ms (1.8%)

end0.0ms (0%)

Profiling