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)

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

sample1.1s (28.3%)

Results

752.0ms	8252×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-add: 224.0ms (73.4% of total)

ival-mult: 66.0ms (21.6% of total)

const: 13.0ms (4.3% of total)

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

Bogosity

preprocess249.0ms (6.3%)

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)

explain61.0ms (1.5%)

FPErrors

Click to see full error table

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

Results

38.0ms

512×

valid

Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 9.0ms (63.9% of total)

ival-mult: 4.0ms (28.4% of total)

const: 1.0ms (7.1% of total)

backward-pass: 0.0ms (0% 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)

localize35.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Results

22.0ms

256×

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 4.0ms (57.9% of total)

ival-mult: 2.0ms (28.9% of total)

const: 1.0ms (14.5% of total)

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

series5.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite213.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

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

simplify200.0ms (5%)

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))))
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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))

eval64.0ms (1.6%)

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

prune21.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

114 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 (+.f64 z #s(literal 1 binary64)) y) (.f64 (+.f64 z #s(literal 1 binary64)) x))
▶	52.4%	(+.f64 y x)
▶	48.8%	(*.f64 z (+.f64 y x))
▶	54.7%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	50.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 88 to 62 computations (29.5% saved)

localize86.0ms (2.2%)

Localize:

Found 6 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 z #s(literal 1 binary64)) y)
✓	100.0%	(*.f64 (+.f64 z #s(literal 1 binary64)) x)
✓	99.0%	(+.f64 (.f64 (+.f64 z #s(literal 1 binary64)) y) (.f64 (+.f64 z #s(literal 1 binary64)) x))

Results

58.0ms

256×

valid

Compiler

Compiled 70 to 34 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 16.0ms (51% of total)

ival-mult: 14.0ms (44.6% of total)

const: 2.0ms (6.4% of total)

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

series16.0ms (0.4%)

Counts

6 → 144

Calls

Call 1

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

42 calls:

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

rewrite166.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`fma-define`
829×	`log1p-expm1-u`
829×	`expm1-log1p-u`
371×	`fma-neg`
119×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	126
1	307	126
2	3981	122

Stop Event

1×	node limit

Counts

6 → 369

Calls

Call 1

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

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

simplify206.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

532×	`cancel-sign-sub-inv`
392×	`fma-neg`
354×	`distribute-lft-neg-in`
318×	`distribute-rgt-neg-in`
278×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	16048
1	1512	14849
2	4442	14699

Stop Event

1×	node limit

Counts

513 → 367

Calls

Call 1

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

Outputs
(+.f64 x y)
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 (+.f64 x y) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 y (+.f64 x (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 (+.f64 x y) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 y (+.f64 x (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 x (+.f64 y (+.f64 (/.f64 x z) (/.f64 y z)))))
(*.f64 z (+.f64 (+.f64 x y) (+.f64 (/.f64 x z) (/.f64 y z))))
(*.f64 z (+.f64 y (+.f64 x (+.f64 (/.f64 x z) (/.f64 y z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 x y) z)))))
(*.f64 z (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 (neg.f64 x) y) z) y) x)))
(.f64 z (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) (/.f64 (+.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 x y) z)))))
(*.f64 z (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 (neg.f64 x) y) z) y) x)))
(.f64 z (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) (/.f64 (+.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z))))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 x y) z)))))
(*.f64 z (neg.f64 (-.f64 (-.f64 (/.f64 (-.f64 (neg.f64 x) y) z) y) x)))
(.f64 z (.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) (/.f64 (+.f64 x y) z))))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(+.f64 x (+.f64 y (*.f64 z (+.f64 x y))))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(*.f64 y (+.f64 #s(literal 1 binary64) z))
(fma.f64 y z y)
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eval67.0ms (1.7%)

Compiler: Compiled 5642 to 2732 computations (51.6% saved)

prune66.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	367	5	372

Accuracy

100.0%

Counts

372 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(+.f64 (.f64 z y) (.f64 z x))
✓	52.4%	(+.f64 y x)
✓	48.8%	(*.f64 z (+.f64 y x))
✓	54.7%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	50.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize25.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.0%	(+.f64 (.f64 z y) (.f64 z x))

Results

18.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

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

ival-mult: 4.0ms (74.6% of total)

ival-add: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

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

9 calls:

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

rewrite110.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`unpow-prod-down`
679×	`log1p-expm1-u`
679×	`expm1-log1p-u`
366×	`log-prod`
344×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	140	22
2	1862	22

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

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

simplify138.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

671×	`times-frac`
453×	`fma-define`
321×	`exp-prod`
308×	`associate-/l*`
270×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	4293
1	646	4182
2	1734	4153
3	7121	4122

Stop Event

1×	node limit

Counts

132 → 122

Calls

Call 1

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

Outputs
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(*.f64 z x)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(.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 (fma.f64 z (/.f64 x 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 (fma.f64 z (/.f64 x 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 (fma.f64 z (/.f64 x y) z))
(*.f64 y z)
(*.f64 z y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y (fma.f64 z (/.f64 x 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 y (fma.f64 z (/.f64 x 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 y (fma.f64 z (/.f64 x y) z))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(*.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 (fma.f64 z (/.f64 y 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 (fma.f64 z (/.f64 y 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 (fma.f64 z (/.f64 y 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 x (fma.f64 z (/.f64 y 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 (fma.f64 z (/.f64 y 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 (fma.f64 z (/.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 z (+.f64 x y))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 z (-.f64 y x))) (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 z (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 z x) #s(literal 2 binary64))) (*.f64 z (-.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 3 binary64)))
(*.f64 z (+.f64 x y))
(*.f64 z (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 z (+.f64 x y))
(.f64 (.f64 z (+.f64 y x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal 1 binary64) (.f64 z (+.f64 y x)))
(*.f64 z (+.f64 x y))
(.f64 (cbrt.f64 (.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (cbrt.f64 (.f64 z (+.f64 y x))) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (.f64 (cbrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (sqrt.f64 (.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 x y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 z (+.f64 x y))
(.f64 (sqrt.f64 z) (pow.f64 (.f64 (sqrt.f64 z) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 z (+.f64 x y))
(.f64 (+.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
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eval34.0ms (0.9%)

Compiler: Compiled 1666 to 583 computations (65% saved)

prune60.0ms (1.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	120	7	127

Accuracy

100.0%

Counts

127 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.6%	(+.f64 (.f64 z y) (.f64 z x))
✓	52.4%	(+.f64 y x)
✓	48.8%	(*.f64 z (+.f64 y x))
▶	27.9%	(*.f64 z y)
▶	26.5%	(*.f64 z x)
✓	54.7%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	50.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize64.0ms (1.6%)

Results

59.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 4.0ms (84.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.6%	(+.f64 (.f64 z y) (.f64 z x))
✓	52.4%	(+.f64 y x)
✓	48.8%	(*.f64 z (+.f64 y x))
✓	27.9%	(*.f64 z y)
✓	26.5%	(*.f64 z x)
✓	54.7%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	50.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 104 to 60 computations (42.3% saved)

regimes21.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

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 (0.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
10.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
87.6%	6	`x`
87.0%	4	`y`
97.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.8%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
87.0%	4	`y`
82.7%	6	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes63.0ms (1.6%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	z
7.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
82.0%	6	`z`
71.9%	5	`x`
75.4%	7	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
81.4%	6	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
41.6%	2	`x`
44.1%	4	`y`
33.2%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 z x)

Outputs
(*.f64 z x)

Calls

3 calls:

1.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
26.5%	1	`z`
26.5%	1	`y`
26.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch56.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.2023292367364621	10.222321310021224
45.0ms	-1860315.4505620706	-0.010518014037525569

Results

13.0ms

256×

valid

Compiler

Compiled 272 to 188 computations (30.9% saved)

Precisions

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

ival-add: 3.0ms (55% of total)

ival-mult: 2.0ms (36.6% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	4.376733177112859e+57	4.6827022978735056e+57
12.0ms	7303.784228579651	472978587.42262965
8.0ms	1.0994917968062565e-105	1.7490748797445323e-104

Results

12.0ms

240×

valid

Compiler

Compiled 286 to 222 computations (22.4% saved)

Precisions

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

ival-add: 3.0ms (61.3% of total)

ival-mult: 2.0ms (40.9% of total)

const: 0.0ms (0% of total)

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

bsearch71.0ms (1.8%)

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	7.734337276860372e+144	8.312470701969435e+152
14.0ms	2.87352092114709e-23	3.3962190930498838e-6
14.0ms	-1860315.4505620706	-0.010518014037525569
16.0ms	-2.0596624951706235e+194	-3.6429847384871566e+188
9.0ms	-2.0632014776162228e+214	-2.2561619897927685e+212

Results

38.0ms

704×

valid

Compiler

Compiled 670 to 490 computations (26.9% saved)

Precisions

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

ival-add: 9.0ms (57.3% of total)

ival-mult: 5.0ms (31.8% of total)

const: 1.0ms (6.4% of total)

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

bsearch76.0ms (1.9%)

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
24.0ms	7.734337276860372e+144	8.312470701969435e+152
11.0ms	10.222321310021224	332905.0890915456
12.0ms	-1860315.4505620706	-0.010518014037525569
13.0ms	-2.0596624951706235e+194	-3.6429847384871566e+188
11.0ms	-2.0632014776162228e+214	-2.2561619897927685e+212

Results

49.0ms

672×

valid

Compiler

Compiled 604 to 432 computations (28.5% saved)

Precisions

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

ival-add: 16.0ms (70.7% of total)

ival-mult: 5.0ms (22.1% of total)

const: 1.0ms (4.4% of total)

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

bsearch15.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7.658612198751548e+71	-4.431682295314462e+69

Results

6.0ms

112×

valid

Compiler

Compiled 114 to 82 computations (28.1% saved)

Precisions

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

ival-add: 1.0ms (41.7% of total)

ival-mult: 1.0ms (41.7% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	527
1	87	515
2	90	515
3	93	511
4	94	511
5	95	511

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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 2420859260706477/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 13500 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 4599999999999999769410896886393549102186338877926522486784 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 z #s(literal -1020000000000000034862636691136362439485725070402953479572421449838469034921257033117579622962406588773497792053290920205113345945807757823405092569327231541456927748891479069736975462462371394049737456140310020096 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -40999999999999997244775294161184067688521632596840529846807114357409709943161941645010568277016993400246186718282704137762620890028997182370685384879349186819962439124175124223347467940215652352 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -1 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 1357680363825023/1180591620717411303424 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z y))))))
(if (<=.f64 z #s(literal -1399999999999999948182641705867572771240152450161642647267154957274220217000836427773202323885774132926849243162962342434807713971571190782594946770821063309661096748706824336858470426107892029740205683481832849408 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -19499999999999999974451587968355371671724994942806942243303293603287842704092105010148093933957727405971500874214423636847764383551097444472056253468557630643825810497166940079248420447071502336 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -1 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 260 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 14499999999999999858398405305768223541308454182440472691129644876106587929732751799526191416197317327120001882690220621531194769977430219787121721344 binary64)) (.f64 z x) (*.f64 z y))))))
(if (<=.f64 x #s(literal -280000000000000001918855696437519535024180508897315944120229377330905088 binary64)) (.f64 z x) (.f64 z y))
(*.f64 z x)

Outputs
(*.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 2420859260706477/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 13500 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 y #s(literal 4599999999999999769410896886393549102186338877926522486784 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 y #s(literal 2420859260706477/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (if (or (<=.f64 y #s(literal 13500 binary64)) (not (<=.f64 y #s(literal 4599999999999999769410896886393549102186338877926522486784 binary64)))) (.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal 2420859260706477/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (not (or (<=.f64 y #s(literal 13500 binary64)) (not (<=.f64 y #s(literal 4599999999999999769410896886393549102186338877926522486784 binary64)))))) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (or (<=.f64 y #s(literal 2420859260706477/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (and (not (<=.f64 y #s(literal 13500 binary64))) (<=.f64 y #s(literal 4599999999999999769410896886393549102186338877926522486784 binary64)))) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -1020000000000000034862636691136362439485725070402953479572421449838469034921257033117579622962406588773497792053290920205113345945807757823405092569327231541456927748891479069736975462462371394049737456140310020096 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -40999999999999997244775294161184067688521632596840529846807114357409709943161941645010568277016993400246186718282704137762620890028997182370685384879349186819962439124175124223347467940215652352 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -1 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 1357680363825023/1180591620717411303424 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z y))))))
(if (<=.f64 z #s(literal -1020000000000000034862636691136362439485725070402953479572421449838469034921257033117579622962406588773497792053290920205113345945807757823405092569327231541456927748891479069736975462462371394049737456140310020096 binary64)) (.f64 y z) (if (<=.f64 z #s(literal -40999999999999997244775294161184067688521632596840529846807114357409709943161941645010568277016993400246186718282704137762620890028997182370685384879349186819962439124175124223347467940215652352 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -1 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 1357680363825023/1180591620717411303424 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 11000000000000000434491611827713087655146123715058235526985432086361147673117200086663785648228517675421206041980964907920678229956514136618696704 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y z))))))
(if (<=.f64 z #s(literal -1399999999999999948182641705867572771240152450161642647267154957274220217000836427773202323885774132926849243162962342434807713971571190782594946770821063309661096748706824336858470426107892029740205683481832849408 binary64)) (.f64 z y) (if (<=.f64 z #s(literal -19499999999999999974451587968355371671724994942806942243303293603287842704092105010148093933957727405971500874214423636847764383551097444472056253468557630643825810497166940079248420447071502336 binary64)) (.f64 z x) (if (<=.f64 z #s(literal -1 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 260 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 14499999999999999858398405305768223541308454182440472691129644876106587929732751799526191416197317327120001882690220621531194769977430219787121721344 binary64)) (.f64 z x) (*.f64 z y))))))
(if (<=.f64 z #s(literal -1399999999999999948182641705867572771240152450161642647267154957274220217000836427773202323885774132926849243162962342434807713971571190782594946770821063309661096748706824336858470426107892029740205683481832849408 binary64)) (.f64 y z) (if (<=.f64 z #s(literal -19499999999999999974451587968355371671724994942806942243303293603287842704092105010148093933957727405971500874214423636847764383551097444472056253468557630643825810497166940079248420447071502336 binary64)) (.f64 x z) (if (<=.f64 z #s(literal -1 binary64)) (.f64 y z) (if (<=.f64 z #s(literal 260 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 14499999999999999858398405305768223541308454182440472691129644876106587929732751799526191416197317327120001882690220621531194769977430219787121721344 binary64)) (.f64 x z) (*.f64 y z))))))
(if (<=.f64 x #s(literal -280000000000000001918855696437519535024180508897315944120229377330905088 binary64)) (.f64 z x) (.f64 z y))
(if (<=.f64 x #s(literal -280000000000000001918855696437519535024180508897315944120229377330905088 binary64)) (.f64 x z) (.f64 y z))
(*.f64 z x)
(*.f64 x z)

soundness471.0ms (11.8%)

Rules

861×	`fma-define`
829×	`log1p-expm1-u`
829×	`expm1-log1p-u`
671×	`times-frac`
453×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	4293
1	646	4182
2	1734	4153
3	7121	4122
0	19	126
1	307	126
2	3981	122
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830

Stop Event

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

Compiler

Compiled 196 to 99 computations (49.5% saved)

preprocess52.0ms (1.3%)

Remove: (sort x y)
Compiler: Compiled 362 to 194 computations (46.4% saved)

analyze0.0ms (0%)

sample1.1s (28.3%)

preprocess249.0ms (6.3%)

explain61.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.9%)

series5.0ms (0.1%)

rewrite213.0ms (5.3%)

simplify200.0ms (5%)

eval64.0ms (1.6%)

prune21.0ms (0.5%)

localize86.0ms (2.2%)

series16.0ms (0.4%)

rewrite166.0ms (4.2%)

simplify206.0ms (5.2%)

eval67.0ms (1.7%)

prune66.0ms (1.7%)

localize25.0ms (0.6%)

series5.0ms (0.1%)

rewrite110.0ms (2.8%)

simplify138.0ms (3.5%)

eval34.0ms (0.9%)

prune60.0ms (1.5%)

localize64.0ms (1.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes21.0ms (0.5%)

regimes31.0ms (0.8%)

regimes32.0ms (0.8%)

regimes63.0ms (1.6%)

regimes6.0ms (0.2%)

regimes15.0ms (0.4%)

regimes2.0ms (0.1%)

bsearch56.0ms (1.4%)

bsearch31.0ms (0.8%)

bsearch71.0ms (1.8%)

bsearch76.0ms (1.9%)

bsearch15.0ms (0.4%)

simplify14.0ms (0.4%)

soundness471.0ms (11.8%)

preprocess52.0ms (1.3%)

end0.0ms (0%)

Profiling